Diui Alphonsi Romanorum et Hispaniarum Regis, astronomicae tabulae ...

f/ •; K'/U/ ./-' s<y : uD '! I . ^ ,--- • l .1 vt2 *f?r V"- - - . r •-- v i?y+ . X i ^ifsi*?,e /H *•Xi e*'**'*? /<-5?^ <*?DIVI ALPHONSI ROMANORVM ETHISPANI ARVM REGIS, aftronomicz tabula: in propriam integritatem reftitutte, ad calcem adie&is tabulis qua: in poffrema editione deerant ,cum plurimoru Iocorucorredionej& acceffione variaru tabellaru ex diuerfisautoribus huic operi in(eitaru,cum in vfus vbertate, tum difficultatis fubfidiu: Quorum nomina fummapagellis quinta,fexta &c fcptima defcribuntur.Quainre Pafchahus Hamellius Mathematicus inlignisidemq; Regius profeffor, fedula operam fuam przftitit. PARISIIS, Ex officina Chriftiani wechclijub Jcuto Tdafilienfi, in vico lacobao. Anno 1545. QVASADRES PO T ISSIMVM ALPHONSI Tahula conducant. msEniporum intercapedines ab Adamo ad pleraq; regna, &eoruidem interfe, Vagina . i . 5Conuertcrchoras (g horarumfra&ioncs in gradus &minuta, |autecontrd, pagz* Conuerjio graduit•&fuariefraclionu in minutias dieru, &ediuerfio,pag.3. Aequare longitudines &latitudines regionum &duitatum,pag. 4 . Tahula aquationis dierum , 'pag- 5 . Ternpora in cras reducere, pag•67 Tahula motus augium Jlellarumfixarum, Tahula partibusproportionalibus opportuna,pdg. 15 . PUnctarum argumenta ¢ra mediafupputare , jpdg. 7. Locum Gfupputare cum exemplari deferiptione,pagina eadem. Veru locii Lunafupputare,et eiusfupputatiois exemptu ex ordine,pag. 3a. 1 Verum locum £&b,ac latitudinem 5perferutari,pag. 43. c*- 44* Vera loca aliorum Planetarum inuefligare,pag. 45, Modus corrigendi tabulas,pag. 8r. Planetarum omnifariaspafiones inquirere. pag. eadem,&8 a . Conficiendarum ephemeridum compendium,pag.83, Quinq; Planetarum latitudines venari, pag. 84. Domos ceclicas conflruerc, Pag>$ *• Ingreffus Solis in figna cardinalia, &annuas mundi conuerfiones comperire, pag. 119. Annorum (f menfiumferias difeernere,pag. 1^0. Veras Planetarum coniunBiones indagare, pag. 137, Vtrafque <r liminarium adaquare, pag. 144. Luminarium eclipjes examinare,pag. 158. Stellarum fixarum longitudines ,latitudines ,magnitudines &naturce, pagina a13. *«i Lx aliis II 4HORAS tuas ppft merjdicm cguare. Ad euitados labores reducedi gradus &M.Ibgitudinu cuiulqj duitatis aut oppidi ad hoi ris &horaru ira&iones,appoiiu cft fequens tabella. In quafi tuus locus (brfita reperiatur aut falte proximior ,inGnuabit horas &fraSiones adiidendas tuis horis, Si locus ille tuus fucric occidentalior tolctofquod fyllaba oc.facile comonftrabit) Aut fubtraliendas fi orientalior ,& prouenict tempus prinwcquatugi. ' i1^1 11*.-^' *r r“fM7i*Jvlaionca ^X*^b,lt^ranatUin ‘**’ir*xvl~C.eCaraiwti Tabula duitatum,oppidorum f;l ac prouinciarum >] b.jni ~g j .Nomina goppidorii g I Erfordia or. Lips or. .IngelRadiiiml j«<or. , | IlllioL ihs%\*4 Radi^ona^p^^-or.i3o Wm*' •or- _± 2*4 4 Al^t-Oxonuim i frfvL, ,tf^^Narbona or-0p153]r or.l oJjiko or.l .c| 5,(U|pq or-| °|5 1|4111 ‘'.^^Lw^.^iilSjLugdumim or. or' 1 ?^ Tclofa or. yilfijjifo ^.Vienna prouinci? or, ^- /-,/j^Mafsilia or, 7*75*7 .m.-f/XSjW. VR*:lX<4< Awjy. or -^1. u.tw Gandauum or 1j^ Traiediim or or-l o|H48||« or-053 45 Ili or.l 0(32 45 [F oR»Eli or-°|5 *43 H or-054I44II °r- 05g|5 3II or.r 0485i|j Machlinia or. Maguntiaj>«<>«{^4.or. Herbipolis or. c«4 lvw*>'n2Argcoim^ or . Conflantia or. Augufta vindel. or. Datia or. Snetia or. 1— 11<1 rite*- Ifethl** Lnbe.-ca « tt* I«t*awtor. •"EsVi. JSiJsJS!». easis» or. rrunfuiga or. Madeburgum or. [53 n1r«*fcg- ! 3egnia-or. Viena panonif or. Patauia or. Saltzeburgum or. Iudeburgum or. Villacum or. Brixia or. IMantua or. Cremona or. IVenptiij or. [Ancona or. 3j]5mT or, [Tarentum or. IpBrundufium on [Neapolis or. * jfJJ 48 IM 4S_ II1'r% ik^'% 4)43 4- n5F 1ar. 4*a. o*x J3.. .5 » £. ^I. 4^H ]J*i ’11i? 5oFlorentia 110 co 5S,>i35&JS^S Mediolanum -J— i|iap7pJfjT. jJiiUk r& j; >3415« Kn- 1i» Ssll J+£ ulPHl 1I10 5<r j 'IH 53 I Taurinum Genua Sardinia Sicilia Bizantium Alexandria Hierufalem Damafcum TSEKS or. 3I4-0 32- 31*?! 32 li*lid«ai5S tellflWS :)j*x h»**' —[*|fw |JTll *<> -/.-r, .«^joor *. «4 -•14—<5 (mVmVvl ,fr-mo+u </ fT T ^ 7° ^ «... m-; -v»t 1W+**" U( J) JuJ) •ifr*- JVr.^v.vI ^1.J**/' V*. Jprlfir^b'- «r.--:$S „i-*»></' -jr // Vf1*»*- ty**}*- »)/i‘~y-‘ HORAS primo ?quatas rur/iis examinare &aquare. Hregione diei in quo locaplanetarum lupputare volueris, allumito ex almanach locu lolis,cum quo intra Icqucntem tabellam aquationis dierum ,cum eius ligno fuperne Sc gradu in prima linea liniilrorfum,& moxin angulo communi liue area eiuldem tabui? reperies.M. &i.horarii lubtraheda ex tuis horis feu.M.primo ?quatis, &prouenict tepusfecudo aquatum,cum quo planetarum loca lupputare poteris adamufsim, vti natio pollulat aftronomica. Tabula aquationis dierum verificata ad annos Chrifti 1456". 5^ilioUSh gIiSIi xI44J 158| z44‘^ [3 7sko^SjigLo'! 1144! 1<, ^4l zf83 Hf ut» •e&* yti^es 4^. , 6ERAM aliquam coftruere,!ioc eft,annos,men/es ac di es ad 4. 5. 2.“.reducere.' Era.apud Hilpanos ide eft quod tepus limitatu fumes exordium ab aliquo $uo, vtpoteab Adamo, aut vrbe codita,feu rege memoria digno.Nos aut Chrifticol^ voluetiu annoru inituatq; conumerationis exordiu ex Dionyiii Abbatis iftituribe.obfcruamus ferme oes ab dic mcalitio redeptoris noftrilefu Chrifti.Anni igitur coUefli iam pera&i fi peife reperiatur in fcquetis tabcll? pria colunula,exteplo' comonftrabiit dextrorfum eregione ipforu .4.5.2.“ . illis squipollentiarlxn fecus,intrabis profata tabella cum numero minore ^ximiore^dein cum refiduo,donec totus annoru colledoru numerus fuerit c6plecus,foribedo fcorfum quod eregione ipforu rcperies,(imilitercum annis expafis,& icribe quodlibet fub fuo genere.Vltimo cura mefibus copletis in prima &luperiore mefiu tabellula no bifextiliu,fi annus fiierit ciui- Iis,aut inferiore fi bifcxtilis iiue intercalaris:fub primis deniq; foribe dies incopleti mefis, Sc horum omnium aceruusfvti arithmetica ratio exigit)crunt.4.5.£ illis annis,menfibus, ac diebus <jquipollcntia,& conftituta erit era quam quiritabas. Tabellaad eras conftruendas necellaria. Horas Sc carufra&iones ad Tabula conuertendihoras &.M.paft meridiem aquatas.Ad.M.&.r. dierum. cr^gnrKU?. Horas tuas poft meridiem primdper tabulam regionis, dein aquationis dieru ?qua- Tabula conuer fionis horarii in mi.&.I.dieru. LI Tabula conuertendi frafriones horarumlin M. &.2.dierum^ ^ ho jdi mi' mm*rm m ; tas }veluti fupr reducito per le &£.dieru,& craaquipollen amonuimus, quentes ad ni. 1 z 0 0 Z 5 3° 0 1 z 0 0 z 5 30 031 32- 1 1 17 zo 30 0 horis acmi- 3 4 0 07 IO 3° 03 4 07 010 30 033 34 1 1 zz 2-5 30 .0 Annoru,menfium nucupabitur era vr cum qua planetarii putabis.Qucadmoi Hilpaniarum Rex edocebit. cdierum 5 6 0 0 12 r5 30 050 0 12 *5 30 035 3* 1 1 2-7 30 3° oca iiip- ,um infra 7 8 0 017 zo 30 07 8 0 0 17 zo 30 037 3* 1 1 i* 35 3° 0 nclytus 9 IO 0 0 zz M3Q 09 IO 0 0 zz M30 019 40 1 1 37 40 30 0 II Ii 0 0 Z7 30 30 0 1 1 IZ 0 0 2-7 3°3° 041 42 1 1 42 45 30 0 Hm2 Poft DrU 7 I 53 14 0 0 meridiem. meridUni.nm 13 J4 0 03* 35 3° 0 1 I1 *4 0 ;03* 35 30 043 44 ,,1 \47 5o30 0 Prim ©7—6i9 2-7 0 z4 tcquatio eqtto dlcrii^i. *5 16 0 037 40 30 0i *5 itf O O37 40 3° 045 45 1 1 5* 55 30 0 Secudaj^ 13*aquatio. 17 18 0 04z 45 30 0*7 18 O O4z 45 30 047 48 45 5° z57 030 0 *£31.9 10 0 047 5°30 015 zo O O47 5°30 0 z z z 5 30 c H<5 m1 15 0 2 0 3°n M 0 0 0 1 5* 15 57 0 3° 0 3° 0 i- ZI zz 0 0 52- i± 3° 0_ 51 5» z z7 10 30 0 £7.6 r> 3°1 «wtg.fl jj |4—*3 z4 0 1 57 030 053 54 z z Iz 15 3° 0 2-5 z6 ; 1 z 5 30 55 5* z z47 zo 30 0 2-7 z8 1 1 7 10 30 057 58 z z 22 25 30 0 2-9 30 1 1 IZ M30 055 60 z z 2-7 30 30 0 m z hi z z 3III Z r 4 m z z 5 3 _4 3 43 44 1 54 4 4! Era generalis epifeopi Are. 8 •MEDIOSmotus augium &fteUarum fixarunuacceflus infuper ac reccflus 8.fph?ra,omniumve planetarum reperire. Trimo cum cra; quartis.Intra prima tabula medii motus Augiu ac ftellariifixartlfub 4.’ &quod eregione reperies in area tabulaqferibefeorfum fub S.G.m.a.5.4. Dein cumtertiis fub 5.Et quod addextra repcries,frribe fub aliis prius feorium notatis quodlibet fub fuo gencre.Etita de fccudis ac primis.Veru fi qualia rii.i.5.dieru in generali cra adhsferint,intrabis eodepaftonim M.in prima linea,&'quod in linea immediate fequeti c6peries,ftribe fub G.M.r.j.QqiandoquideM.dant gradus &M.&c.Secuda vero M.1.5.aut dant 1.5.(vti titulus inferne annotatus admonet)iisabfolutisoia adinuice coaceruato, vti ratio exigit arithmetica atq; aftronomica,& profiliet M.M.Augiu &ftellarufixaru. Iride ncgociari poteris ad reperiendos medios motus acceflus atq; reccflus fiue trepidationis oftaui orbis planeSari^QiMedjorum argumetorum )$5.Argumeti mediilatitudinis J.& dSLuminariujjn.ccepta tame prius radice in frontifpjciocuiufq; tabui* annotata ,&proueniet medius motusipforum cum generali era repertus. Augem communem fupputarc. -Pruridper tabulam primam reperiatur medius motus augium &ftellaru fixarum. Dein acceflus atq; receflus perfecundam. Tertid in tabula 3. cumlignis &gradibus M.M. acceflus &recelTus,que trepidationis quoq; appellatfeb S.& G. Suimto aquatione eregione correfpondentcm.Quin &difFeretiam cum titulis earfi A.vel M. quas feruato feorfum. Quartdcum Mreliquis fra&ionibus eiufde medii motus:atq; fradlionibus differetis fac partem proportionale,licuti infra edocebimus. Quintd pars illa proportionalis iuxta titulu differetis adiiciatur vel fubducatur ab aquatione feorlum feruata,& ^liliet aquatio aquata. Hac(vti aquationis titulus infinuat)addatur vel minuatur amedio motu augiu &ftellarum fixaru,& _jpfibet aux eomunis:qus cum auge omniumplanetarii excepta ~} communicat. .Partem proportionalem elicere. •Si denominatoresfuerint eiufde dcnomii lationis,multiplica eoru numeros adinuicem,& «jpdu£rii(finon excefleritdo) erit pars^portionalis,utpote fi vterq; numerus fuerit bina- 'rius,produceturquaternarius.Si verd vnus,erit vilitas, &alter binarius produ&u erunt 5. Si pZjZil.» vnus binarius &alter ternarius ^filient quinta,fi non exceflerint 6o.Sin fecus,4.& jl.exem- "•* St" /rztdiortj'Jcnitr- 4«uWToPinit, 'PjJr' pii gratia, fi duxeris M.i.per 2.3 d.^pueniet 72. tertia qus diuifa perdo.refultabunt 1. 1.5. 12.& fic de ciereris,vti fequens indicat tabella.Ad euitandos aut huiufeemodi multi-~ plicationis ac diuifionis labores ,inferta eft huic libello tabula,qus inferibitur, Tabula tabularum-partibusproportionalibus inferuiensxuius vfus talis eft. Si vnus denominatoru reperiatur in fronrifpicio tabuls,— alter aut in lateris primalinea,mox in angulo communi aderitpars proportionalis quamperferutabaris ,exempli gratia, fi habueris in medio motu M.24.&in differetia M.2. Perquirito in frontilpicio 2.& in latere finiftro 24.autecontra,— DucendusTj | Duftus. &comperiesin angulo comuni M.6.i.48r-fkuti -fi multiplicares 24.per 2.. Ite fi in medio motu foret M.2 .& in differetia 1.3 ff.ponaturq; fuperne i.& 3d.in latere, profilient I\ in angulo coi % . 1.3. 12.&fic deinceps,huiufeemodi partis |3 jpporrionalis numeros iuxta titulu differetis adiicito vel di- |_ 3_ ducito ab squationcina:quata,& refultabit squatio aquata. |4 1sGSG 1pmG—m 1 sm* 1p315 *434 1*mni i' .S5 p534 p4 4 S p*54 p,5. T p116 .p,316 pii _ I 57 ,p _LL c, 10 .Pz .\w*rmlfottif. ni A^-.incarnationis ad meridianum Toleti. s£m ts** 5. 5§. ia. TABVLA fecunda medii motus accelliis &reccilus odaua:ipha:ra:. :II ri54?7 | *54I Jlliii fil l*54|_ _L _S_ _£jj_ 4 rr-~ -| -- — 1 sgm12- _ 1oooo30 14431 a00o| 1o49 38 _ 3eo0I3114 17 • 4000 *I3S>|*g _ 500013145 0003118 54 proni illi . 31II °| 00 1 15I42, 57 ii)l 3^||o| o.ol«| »3 14 _8| 33 ]°| 0°p43 38 57I 341 °l °l'7 Hi4gl 571 000'7 44 lS 35| ~ . 3<j| 000 18 14 53 14! 7°| o03 3 153 43 I37 o| o o 18 45 i~8 1 3 8o| oo4318 3a}38 o| ooij) 1? 43 1 9oo o 4334311 10 ooo548ic 11 00 oH 34|3* 59 j nooo<> 457 48 | 13] ooo6351137. 1 14 o' oo7547 16 | 15 0 o o736 ii 15I 16 ooo8637 4) 7ool o8 J37 i(?3 47 oo 8000«;] 7[ig 41 48 oo c937 5131 Io10 816 io|| Io10 38 41 1Jjlf Io1 1 9.5J58 1] | o113p|3-° 47lf Io11 401 2.01 2.5 1| l_£ 13 «o |4l| H H I0x341 1 IO |3II J_?- l_p!l | 0H4I | 5P]4i|| l_5IiiiNi3on IfillJl \*\ 11 ni OIJ> 4<> 751 010 16 31 40 OIO 46 57 Ij) o11 17 11 18 o1147 47 7 oii 18 11 56 o11 48 36 45 . 01 2-3 19134 0U3 4P16 2-3 o14 19 5111 o14 50 16 1 o15 10 40 50 "o 2.5 5TI 539 o1611 3018 oI?5i 55 17 o17 11 10 6 oa75144 55 o18 13 944 "o 28 53 34 33 o*9 a359aa 55 o o o19 54 2.4 1 1 60 00030 2.4 4Po TABVLA aequationum inotus accellus &rccciius Iphaira ScdUre. ** s o Aequatio Adilc Oll° S | | Aequatio 1Adde VsAequatio 1•Adde 5Min eAdde |3i. Minue A41Mmu| 1A 8l11T'i m*ISI ni *il 1£! *JL mIS I55 05M5253115 437 17 87l55 7S» %6 4(5* s« 0.8 45 5[i4 31l8 445 ,8 81s» 75« >9 4j° 3S7 0l8 1 1 9ia 33 2-7 453 14 7s« 357 8041'4 456 0 37 3191 1 34 15 51575145« 8454 425 55S 0A65* 910 35 z558517555 89146 <r 54 05«1 1 9, 10 3«i4515 3C739 554 811 5S 35« 753 i531915 37 z3514 4734 753 81 5 45 347 851•1 H4.8 917 38 11 53133 719 852-810 2-3 338 5s11M49iff 35 1 1 s3857 714 9518*3 52-3ip I05° 133 1C916 40 10 545] 1 5 7sIO 5° 8z711.3io 1 1 45 141 34 9144119 s53 l5 7IO 1 1 45 830 2-3 31 1 Ii+s 15146 91 1 4i 18 6fi 19 731 1 48 833 14 31 l347 a057 911 43 *7 67i5 557 13 +7 836 25 1P: HA61IO 69944 156H55114 46858 5« 42 >5 45 1^9 13*745 M<S 1 1 -- 545 25 45 84118 31 16 44 iiS 12 944*|M 62-7 40 538 16 44 845 5° Lir 743 i37 15 9947 25 634 IO 55° 27 43 8+s 111 1 18 4146 >> 845 48 11 640 33 52-i l842 8485i3 19 41i35 185145 1 1 64«45 51 5 19 41845 55 r54 io 4° 3345 847 50 IO 6525869IO 4C85144 145 u35 31 1 47 85« 51s655 O5i1 1 35 853 19 135 ii 3» 33« S45 5* 87453 553 11 3«854 41 11 1 1337 330 IO 844 S3 77IO 38 545 2-3 3785 5 55 124 i436 3?s 57 837 54 5716 M537 14 3* 857015 l535347 =.7 83° 55 571 1 44 52.9 M35857|S5 c5 5 16 34 355 54 817 56 472-7 752-3 16 54 8S84° 045 2-7 33 4 4 «7 813 57 373z 1 1 .514 2-7 S59| 150S5 iS 3141 1 38 811 S81737 2-7 5518 3\859|4G 0’-5 1CJ 314M55 817 55 741 13 45« 19 ;I85=13 3c25 3° 3° 41 9 IO 8»5 (TO 7•1-7 IO 447 3° 3° 5O°05 S87S455 £00 1Adde Minue *Adde 151Adde Mi iue 5Minue 5Minue 4Minue ss8 tv&f* AVGEM communem fiadieccrisfequetibus augiu R. jpfilietaux propria iploram. sgm25 ©$) i 1 1 *5 *3 0 Radices sl 3IO 3-9 33 4 Augiumd"| i55 I2. li4 Tfil 233 37 o4 T?| 3_53 *3 41 4 _01.9 Coaceruentur ,, , 2. 33 3*45 37 0 2-4 •4 Aux communis. R.augis Tp 1153 545 28 ]Aux propria % ... ^VAugem commune,deinpropria fex planetarii per Tabulas Blanchini facilius fupputare. Annos Chriftians liturgia; abiblutos fcorium feribe. Dies autem refiduos anni impcrlefimul coaceruatoper tabulam menfium ab Ianuario inchoantium.Aquibus omnibus fub-- aanos 15-&es 137produdu ii in prima linea annoru collegiorum praicife reperi- ». />• (Un-lt 7*jh* lugi msequat® auge ®quata a> aexaggerentur rs /r^^^t^u-dices augium inferius excudend®;&feriatim emerget aux propria fex planetarum. Menfes Latinorum. |Menfes Aegyptiorum aSept. j Menfes Per(arum. Januarii 3131Tuth. 30 3°Fordimeeh 130 Februa. 19 60 Bala 61<>1 Ardaimech 2<To Mirt. 9°.91 Hetur 919*Cardimccli 390 Aprilis 120 12 1 Heybich 122 122 Zirmech 4120 Maii 151152 Thoba ‘53 i53 Mardary 5MO lunii 181 182 Amihur l8l 182 bSatebemech <5 180 Iulii m213 Barmaer 2I2213 Mahramech 7210 Augafl. »43 244 Barraioda 242 243 Ebenmech 8240 Septemb. 273 274 Bixbuoxh *73 274 Ydramcch 9270 Oclob. 304 3°5 Zuba 3°3 3°4 Dimech 10 300 Noueb. 334 335 Abili 334 33 5Behmemech 1 1 330 Deceo. 3ff S3<5C7 Mazre 3^5 3<r<5 Azfirdamich 1 2 360 Menfes Grsecoru ab Od. Menfes Aegyptiorum. Menfes Arabum. Dies Tifrim 1. 3131Tuth 130 Almuharam 13° Tifrim 2 . <?2 <52 Baba 2<5oSaphar 15^ Remiz 1 . -9*i?2 Accor 390 Rabei. 38,1 Remiz, 2. 123 123Ayahi 4120 Rabe 2. 4118j Sabatii 151151 bSobbi 5Iumcdi 1. 5148 1 Adar 182 .83 Mayr <5 180 Iumedi 2. «177j Nifan 212 213 Phemamih 7210 Ragc 7107 Idar 143 244 Sarmorum 8240 Sahabcn 823^1 Ha^iram 273 27qMacor 9270 Ramada S> 2<56 Thamus 304 305 Seufi 10 300 Sauel 10 255 | Abh 33 55.34 A&icha 1 1 330 Dulcfiida .r 315 1 Eyui —ili 3<> Man.cri 213tfo Dulcheia 3541 IQ TABVXA tabularum partibus proportionalibus inlbruicns. *Hi * ii 1 a*+ MzG j.17i» i7S Ij° 1 31IO 51 I Iaa 1 1 53 ia 24ia55 13 a5 1357 14 a8 14 5P 155P 3» 1aII44 1a161a48 x3ao I3| H14 2414 38 Mao I6c 33 II33 iag \ 12 3J) Oia 13 45 1‘4| ‘8| 14 1M24 M57 1 5 30 34 1 1 54 1aa8 131 a13 38 14 1o| x444 15 18 1552I525 17 0 351i*5 1a3° X325H0H35 15IO15 45 I6 ao I555 17 30 3« 1 2 3« x312. *3 +s 14 a41501538 16 1aI648 17 2418 0 37 1157 1334 41 1 14 48 15M15 aI539 17 I517 53 18 30 3» ii 18 r3s« J4 34 15 1a15 5° IGa8 17 61744 18 aa ip 0 3P x33S> 14 .8 457 *5 3^ 15 ‘3 16 54 17 33 18 1a18 Si ip 30 4° x40x44*OiJ ao 15 0i5 40 17 ao 18 01 8 40 1 P 20 ao 0 41Hai ‘5 1543 162417 517 4« 18 27ii) 8IP 4P ao 30 42x44ax5H16 616 48 17 30 18 ia 18 54 ip 38 ao 18 ai 0 43 M3x54516 1 P 17 1a17 ss 18 38 IS a1ao 4ao 47 ai 30 44 x5a4l5 816 5* l738 18 ao Ii) 4ip 48 20 322- 1 I5aa 0 45 1545 15 30 71518 018 45 IS 30 ao 1/a10ai 45 aa 5° 46i5 516- 5217 38 18 24Ii) 1038 ao 42a128 aa H230 47 I52717 x4*7 118 48 Ii> 35 ao aa 11 Pa158 aa 43 233° 4sl5 +8 17 3« 8 24iis1aao 0 ao 48 ii 38 aa 2423ia 24 0 4P 17 Px7>8 18 47 ID 38 ao Mai 14 aa 3a a 522341 24 30 50 X730 18 ao ii) IO ao 0ao 5° ai 40 aa 3° 23ao a41 0 250 5- 17 5118 41ii) 33 ao 24ai 15aa Gaa 57 2348 24 3P 253° 5211 8 1aip 4ii) 5« 10 48 ai 40 aa 32 2 3a424 1525825 0 53 18 33 ii) 25 ao ii) 1aaa 511 5« 13 5i 2444 25 3 725 30 54 18 54 ii) 48 ao 41ai 38 aa 30 73 M2418 lS1a25 5270 55 13? r5ao 10 a15aa 0aa 55 13 5° a445 M40 25 35 273° 35 ip 3« ao 3* a1a8 aa 2423ao a4I5151a25 8 2 7428 0 57 ip 57 ao 54 a151aa +8 2345 »4 42M39 25 3<’273 3 28 3° 38 io 18 ai i5 aa 14 231a241 0 M825 6274aS 1’-P 0 5^ ao 3i> 11 38 aa 37 2338 M352534 25 33 2732aS ?- 2P3.° 5Oa10aa °»3 °240250a5 0iZ. 0aS 02;P °3° 0 TABVLA tabularum partibus proportionalibusinfcruiens. 25 ** 'Hi II s151 15154 55 Ss57 58ss 60 | 1o51051053 054 055 O56057 05»055 10 114l44 1o\ 148 15°I52 .54 5«'58 •i0 3133 13S1391+1145 14S 1 51154 2. 57 30 4314 3l8 332 3340 344 34»552 35640 54*5 410 425 430 435 440 445 45°455 50 61! 65 5 18 5*4 53°53S541 548 554 60 7557 6461 1 6.8 625 6B1635 64<5 653 70 8648 674711 710 7l8 73<5 744 752 80 5735 7I48 757 86815814 833 841 85150 10 830 840 85°50510 553°540 55Cr00 1 1 511 *3 1 543 554 10 510I61 0 27 IO 38 1045 1 1 0 nIc1 1 IC 24 10 36 10 4»1 1 c11 1 1 14 II361 J 48 1 2 0 *3 1 1 3II 16 1115 1142 1 1 55 1 1 8** 1 1 1 1 34 1 1 47 J30 34"54 1 1 81 1 11 1 1 361 1 5°*3 413>8 3332 1346 ‘4 .0 3511 45 13 0*3 *5 13 3°1345 M0*4 5>4 30 *4 45 M0 16 *3 3*13 5* '4 83414 14 40 14 s« 15ii >5 18 1544 I6 0 *7 H27 H44 J511518 1535 *5 52 16 5IS 16 16 43 17 0 1 8 M18 »5 36M54 16 11 IS 3° 16 48 17 6'7 24 1741 18 0 15 16 516 18 I647 17 51725 !744 18 3S11 18 4115 0 10 17 017 10 17 40 18 °.S 10 18 40 15 0IS 10 15 40 IO 0 ai»7 5118 1 1 18 33 18 54 IS 15*5 3**5 57 10 18 10 3i> 1 1 0 ii 1 8 41 15 415 16 15 48 10 10 10 3»10 54 11 16 11 3811 0 *3 15 33 15 5*10 15 IO 41 iI51 1 l8 11 11 r437 23 0 14 IO 14 10 4S11 1 1 1 1 3<5 11 011 14 11 +8 231 1 23 3« 24 0 M1 1 M1 1 40 11 511 3°11 55 2.3 io 2345 24 10 24 35 M0 16 11 611 32 ll S823 24 13 5°24 16 14 42 25.825 34 16 0 2-7 11 57 23 14 23 5114 18 2-4 45 25 1325 3i> 16 616 33 27 0 18 23 +8 14 16 24 44I25 1 1 25 40 16 816 36 27 427 32 l8 0 2-5 M- 35 23 8Ksi716 616 3527 417 33 18 118 31250 3°3°16 016 3°12_12__30 18 030 15 03_o 30 D ARGVMENTAmedia planetarum reperire. OSolis argumenutm mediumprofi!iet,fiauge propriam afuo medio mbtu diduxeris. )$5argumenta media fumuntur oum propriis tabulis,ficut medii motus. T)Tp <? argumenti! medii! emerget,fi eoru medios motus iubduxeris imedio motu O. CENTRA, mediafupputarc. Solis argumentum,eft $centrum. ?1? augem propriam fubtrahe afuo medio motu, & lcaturietecntru medii! cuiufqj. Medium motum Oiiibtrahe A.M.M.>&^reueniet elongatio ieu diftantia, qua: duplata centrum Luna: medium appellabitur. LOCVM 0faciliter iupputare. Primo reperiatur M.M.0.Dcin argumentum eius medium .Tertio £regione argumenti cape aquationem 8cdifferentiam cum titu'is A.vel M.Dc quibus tacito partem proportionalem,qua: adiiciatur vel fubtrabatur ab aquatione fuperius reperta,&profiliet aquatio «- <quata:hsec,vt ipfius admonet titulus,coaceruetur aut fubducatur imedio motu,& conflabitur verus locus Gfub noni orbis fianifero. LOCVM Gexemplo fupputarc. 11r° 1*13rnI ' 1413»I21 ,030 118 1^Chriffi *j. l35 i’4 |33 127,0 3| '-9 1351I2-5 2*7_\ 44 r45 14s]*7 i48 I I j28 |I4l *310 1 31 3225 27 1*4 xii 1510J447 454 i41I0 0 3|i<? ’ 33 1 3Primo| 3I 840 'O 14 j7;| M.M.Q. 0119 i !3*45 24 !Aux communis 1 1 2-5 23 0 0 i^augis G jOffauii 13°158 824 .’» 1Aux propria 0 r.3840 024 171 M.M.Q Su . 13°53 824 Aux propria O j* -37 i41 |i1 145 48 IArgumentu Omed. 3IMinue i51Ii61 : 11 Aeqtio argumeti in?qta 1Minue 0 1i£ 1i Differentia IO 1 !S 0jmI41 j2£ |M I1>3 .3'« 12|221A 111.4 1 *]I5 |23li+l 0 1 0 1*« 15150 |Parsproport.-mi. 2900.Aequatio inajquata 11 1 95°Pars proport. 1 1 \9|M|5°110 IAequatio aquata mi. 3I814°0H7. IMed.Mo.Q '2 I524 5°IO )Aequatio aquata mi. '3| <3' UfJ1ii 1 123 ,57 !Verus hcits Q Dii Tabula medii motus SoIis,V?neris &Mercurii. O$g fs £ 8 5 m4 1J14 4 5"s g| ni i*4L i5i‘3 a54_2Ssm£5 s8ma341s8m234 Uimj1341n5jmM34 i055 8•3-7 iS ?3 54 3103° 33 18 816 5« 1 1 5« 2o-s» 16 35 l43« 17 52320313216 2754 152552 3o57 14- 585157 414» 33 0313134 47 3134 39 48 4o3S*? 3 3 .S aS16 ss 44| |34 033 39 43 7 853 53 44' 50455 41 38 638 S40 35 034 2-S 5126 4Sl3740 6o554 49 57 43 55 35s6035 28 59 46 23312I3« 7o653 s» >7 11 >4 37 3237 03« 18 805135 i2 8o753 63« 58 33 5118 38 037 l716 M3» 10 49 28 So852*4 5« 35 53 314 3S 038 26 24 41 *5 30 324 IO o95123I6J311 15 10 40 038 2533 45249 1720 uoIO 5° 3135 5° 3133 16 41040 24 41*4 30 831 16 I2o4-9 3-9 55 17 5° 47 1242041 2349 44 72745 1 2 13 o11 48 48 '5 5IO 1843 042 12 S8'3 44 46 59 8 >4 O'3 47 55 34, 41 iS '5 444 043 22 6 13 22 613 4 MoI447 454 is 48 as 045 044 21 *4 42 59 25270 1 6 o"5 46*3 l357 742<« 4« 045 20 23i<7 44 40 3« *7 o16 45 33 34 16 3« 5247 04« IS 3122 14 354 52 i8 o17 44 aS53 1 1 4« IO 48 48 047 18 39 41 5123848 *S o18 43 38 1 1 4S 514 44 49 048 17 48 128 42 22 44 ao oIS 41 463^ 1 6 14 ,8 40 5° 04S 16 5« ii 140 aioao 4i 54 5a343 523« 51050 «4+°43 20 50 3<J 12 oai 4i 31 1 413631 52051s'3 02_0 4° 431 23oai 40 1 1 3i 18 11 ao 18 53 05214 2II3> 57 5S 18 2-8 a4oii 3s Js50 55 4i 34 24 54 053l329 351-31 3214 25o245« 28 IO 33 048 2C 55 054 1 2 37 59 I137 46 20 a6 o15 37 3C 30 IO at> a16 0 55 1 1 46 49 57 016 a7o16 3<5 44 4947 3S 16 1257 05* 10 54 3c 2716*4 1 2 a8 o2735 53 9 14 58 3° 838 057 10 25i435 28 8 »S c18 351is *17 459 0-8 9!Il>7KI54 41 4 3° o19 34 s48 39 36?8 060 059 8is 37|I9 *3 5ff 0 ni Rmi54.rn R1m|£ i t41 ! ani 134am£134_ 5'4 ''1-1 ~- 5£34. ! 43\' .43_1_ ~ > Tabula medii argumenti Lunz, £•* **>*h~9 ) 4 5 2ili l ^ 3 •m I ? '2ii .j4 §sg! m,4 23il _ iii i £ 14 siil s !15IA M?’ * rsgm£5|4_1.•U m| 154 i •i o|*3 026 3 7 53 47 57 55 3° 0 11 42 4 5 *3 26 _ 6 645 58 0 4 52- 46 41 40 40 11u10 H43 >•« i 4. o o39 51- 1 1 15 41 35 5* 5°31 1 3 24 12 16 39 52-sl 1 1 1 24 »40 34 37 35 41 1 1 35 5* 19 23 9 22 r 6 i i 5 1 8 19 13 13 2-3 47 45 31 1 21 2-5 5 18 35 3*7 7 37 5°I 75 20 28 22 32. 30 41 12 J7 38 2-7 32 35 48 7 8J 31 44 17 31 I7 I I 42 4°3* 2 2-7 48 19 33 31 44 37| 38I 8 8 3 16 24 28 16 IO 2-7 2-5 42- 13 59 20 3* 40 44 48 1 H 2-7 4° 9 10 1 2 57 IO 3 5 33 5 59 37 35 33 3 9 3°37 41 57 10 39 40 8 8 19 41 32. 35 4 53 22 20 43 24 41 2 1 1 !2, 3 15 16 3 2 1 _3 3 _3 3 3 2-3 35 45 2 «s 13 41 55 4f 5° 54 I» 1 "5 10 47|3_° 4IIZ7 351*5 33 __4 34 4 51 ,i±j 4« s° 2-3 35 49 2 41 42 8 *55 839 43 51 46 u44 H23(52 4415 7 53 6 54 54 59 43 44 9 9 21 34 47 f1 40 34 :: 311 *7| 5 19 32- 13 21 23|20 35 5 16 37 3 7 15 28 45 46 9 10 47 055 59 »7 5 45 16 48 9 9 l3 45 58 l7 \ 17 1 1 1 15 35 6i1 1 ii +< (4 4I 48 23 7 16 10 2 0 4* 16 30 51 18 22 1 1 14 19 20 4 4 8 1 1 >4 17 5[ 11 5011 0 36 7-20 14 7 20 49 50 1 0 10 1 1 1 1 40 53 i 5i 45 57 11 52 5° n 47 18 12I16 3_3 (ii 54|3 5 15139 37 11 ’3 16 11 12 4 4 34 47 21 M57 5 37 7 11 43 18 32- 33 46 51 52- 6 19 :: *3 14 5 5 0 *3 23 33;; I38 |4 S|M 36 41 59 12 53 54 1 1 3* 45 26 3° 39 33 47 148 45 1 1 8 3*1*43 57147 18(51 39|5* 29 4i 55 8 M 26 5 5 15 39 3? 41 28 '57 il l55 38(46 9| 7 45 49 '*5 58 55 5* 1 1 1 2 11 34 27 38 21 42(49 4o|i9 '*7 28jIj» *l 5 45 49 16|j2 1°|5° 39(l8 5|43 53 5S \57 53 1 2 1 2 11 42- 46937|5 0 35 1 2,0 1 22 ; 21 34 2f) _JO m 2 5 4 16 I \& 1™ SI lS |S5| 4[47 ji|5«[s8|4s JiTisr* !!l’l 1 4c|n 10132 rr 2 6 s: 17 3f : 59 60 m 2 12 ii g m I 'i 3 ? (0 S3 2 3_ 1! 32(50 3o|2i T43 _4 : i47 0 r 3 4 TABVLA equationum Lunat Verum locum Qper/crutari 43 Med.Motum Qlun$ reperias pfcquente tabulam vcluti fupra docuimus,&productu fubrrahc cx fignis. 6.Sc flarim profiliet verus locus Qia zodiaco. 44 Argumentum latitiidiinsji’ verum'fupputarc. Avero loco Jfiibtrahe veru loeu Q.vel vero loco }adde Me.Motu QSc ^ueniet vtroq*. mo Arguinetu lati tudinis }aquatu feu veru.Latitudinem perferutari .. Refoluc argumetii latitudinis )in figna comunia &cu. gradibus intra fequetem tabula in latere qde finifcio defcedete annotatis,fi fuerit ab vno gradu vfq; in 6.figna comunia. Afce-» dente aut fi fuerint plura quam 6.figna &in angulo comuni repies latitudine. Jin ,G. mv i‘..8c hoc fetnp cum duplici introitu &parte ^portionali fi oportuerit. TABVLA latitudinis Luna. *s VERVM. locum ?£d* Tfi "5 per tabulas fupputare. 4s; Inueniatur primd medius motus plancta:,cuius verum motum defideras.Itcm argumentum ac centrum medium. Secundd cumcentro medio cape aquationem centri ,8c differentiam cum earum titulis A.vel M.& fac partem proportionalem, qua* (vt differentis titulus infinuat) adiiciatur vel fubducatur ab squatione centri insquata,& proueniet «quatio centri squata fiue vera. Tertid fi circa aquationem centri feriptum fuerit A.eam adiicies centro medio,&fubtrahe ab argumento medio.Si vero M.ipfam acentro medio fubducito,& adiicito argume- to medio,&habebis vtrumque squatum fcilicet centrum &argumentum. Et ferua hanc centri squationem cum fiio titulo A.vel M.quia inferius ea indigebis. Quarte! cum centro squato cape minuta proportionalia longiora vel propiora,prout tabula infinuat,&cum eoym differentia adaquentur &feruentur ad partem. .** Quinto cum argumento squato accipe diuerfitatem diametri circuli brcuis,fub longitudine longiori,fi minuta proportionalia fuerint longiora :fiib propiore autem,fi propiora* &cum eius differentia &refiduo argumenti adaquetur huiufcemodi diuerfitas diametri. Cum qua &minutis proportionalibus fiipra ad partem feruatis fac partem proportionalem,' quam feruabis feorfum,& feribe circa ipfam MSi diu erfitas diametri accepta eft fub longitudine longiori,vel A.fi fumpta fuerit fub propiore. Sextd cum agumento squato accipe squationem argumenti cum fiia differentia lorum A.vel M.denominatione, &fiopus eft ,fiat squatio argumenti squata ,qus prinicS examinata appellabitur. Septimd squationi huic primd examinats adiiciatur pars proportionalis diu erfitatis di-; ametri fiiperids feruata, fi circa huiufcemodi partem proportionalem litera A.inuenitur. Si . verd M.fubducatur,&profiliet squatio argumenti fecundd examinata.circa quam feribatur nota A.vel M.veluti titulus difts squationis infinuat. ' O&aud fi circa hanc aquationem argumenti fecundd examinatam,&squationem cejytri iuperiiis feruatam vtrobique reperiatur litera A.coaceruato eas adinuieem,& cogeries adiiciatur medio motui,&proueniet verus locus planets.Si verd circa vtramque reperiatur litera M.exaggerato eas,& produ&um fubtrahatur amedio motu .Verum fi circa vnam reperiatur litera M.& circa altera A,fubtrahe minore amaiore ,&iuxta tituli! maioris aquationis adde vel fiubtrahe amedio motu,& ^plilietverus locus planetqfub zodiaco ,p.fph;r$. Hic nullo indiges exemplo,fi quodfupr^ docuimus in );,re£h} didicifti. .Aduertas quod femper in iftis tabulis quandocunque prscipitur ,vt fubtrahatur vnus numerus ab altero,necefle eft illum fiibtrahere, licet fit maior numerus fubtrahendus quam “’**"* rn yf ille aquo debet fieri fubtraftio,fed minori numero addenda funt 6. figna phyfita, vtpotc ^*i’J*-* vna circuli reuolutio,poftmodiim fiat huiufcemodi fubtra&io. Driak % k fy .*S, %. Af s$£. 53 ^f.mcarnationisadniendaanumtoleci. o. 45. 15. 58. o. o. ~~ Tabula Medii Argumenti Mercurii 2. 4 5i1iit Tr4 3sS14 g 3 : £—s I£i3 3 is' g s*1.’ L* 5 fi m3_Ll gm1 X036i4|741 4°| 1*1 31136 *8 »7 59 355* 1051 1 +8 15M11 1 44 131 139 14 5X(5 45 47 44 30919“1 l38 i 3« 33 41 31i5 *4 18 18 3« 40I 1 M3*13° 5°| 43 l8 34 145 37 40 11 ii 918 50M3i 038 33 14 IO 35 1X48 44 419 53 5° IO 50x838 =4 45 i51 1 3« I515° 18 37 3« 31I1 701 1 44 4s53 S8 46437 1 I54 54 5* 45 19 1 1 4 8014 51x31411 5 56 3» I15« 3X6' 53 I5* 5« ’9017 57 37 5 14 748 39 1 1I941044 33 48 10 0 314117 «4S40 40 !4416 584714 40 1 1 034 101514 49 19 5*41 1 1711 19 I5955 32- X1037 i549 32-3* 1 0 14 41 10 18 53 a-3 513<5 14 '3 040 13»3 40 45116 43 I 11335 17 3135 17 I5 4043 15) 37 47 57 3*844 11i«5 4141 39 17 s» 8 M045 3« 1ss 4°13045 1 x19 48 s47 035 0 I5049 41 15 3ii 53 514« 1 11 1 54 19 54 319 5* 1705148 i° 1 1 534 4+ 47 1 11(5 054 115 044 18 1055 55 14 18 48 *5 3« 48 119 718 10 8413« 15 0 59 138 1(5 30 s« 18 49I *3*r341 '7 5111 18 10 118134 13 3710 5°13510 5M34 3io 1 1 I15M16" 41ss 18 1 1 51Ii3»l530 33 «« 44 1 1 ii | 18io 5°45 38 52 45* 1 4131 54 40 59 M4 J, 3I1"»7 H57 1 1 3»|S« 53 t 144 35 18 48 41 T?.« 14 1 1r4|3 33-9 5410 +8 54 1147 45 41 S« M+548 *5 I1117I4031 1 47 40 55fi 5°5^747i? 40 15 |110 46 17 10 19 41 315«1153 ?8 3i11 5o85* 17 11*3 «* 5118 1 1 M14 57 I *57 455 19 32- 49 14 iS 11\z6 55 «5 35 55 4l558 1301 1 19 2-7 T530 15 '^1 |305'3S43 37 45 853» i3 3 1743 54 ss 1 1 8 30 1113 31 1 35110 16 05o.1 3414740 51 0 mim5I | i 1&m15 1 1m1r5|1!1™:5 31* ri 1rI | I I 5.»3 ' 4J_3 l.LisEL!__L 14Ll _Giii H TABVLA aquationum Mercurii 5 Linea: nu- Aequa- s? Logi- Aequa- Logimeri c5- tio oS'5 otU do Utio arqtudo munes centri tS'? kmgumeti g>- pros o Mi- A nuc 2"5 Mgior AAdde Apior A G«L Gm| *1|1*1 1G1rii 1nt 1|G|m|m.Gm*- z '4 S»| S8 I 0 0 3 6. 3 3 5o 50 c| 0 0 z 4 z z 0 0 1y 33 J7 16 0 0z 1 1 ;57 5* 0 0»3 3 5o 59 59 59 °l 0 0lz 0 1 49 5 16 16 03 4 1 1 0 1 - 5 655 54 0 053 a r~ c| 0 0 9z 1 1 1js l7 16 0 04 5 7 853 5* 0 0sji8 (8 0] c 0!4 z z r z 55 11 17 16 0 0 5 7 1 1 9 1-0 0 0:i z 3 f8 <7 ?l 0 0 15 17: z z *-7 44 0 16 16 17 •0 0 S 9 1 1 I J' 1z 49 48 0 630 33 z 3 57 57 0 0 19 zo z 1 3 3 16 \6 0 0 I0 I I 1 *3 *4 47 46 0 035 38 z 35* :| 0 0 zz a3 z I 3 3 31 48 I6 1G 0 0 1z i3 1 15 I645 44 0 040 43 455 55o| 0 0H z5 z4 5 z1 17 I5 0 0H 15 X I •i-7 1 8 43 41 0 045 48 j54 54 o| 0 0 z8 Zp z 1 4 4 37 53 1 5 16 0 0 16 17 1 I zo 41 40 0 05° 53 j ‘ 53 il 0 0ll z z 5 5 9 Mi5 iofT 0 0 1 8 19 I I •zz •39 38 055 58 1 3511 1 0 034 3« 15 5 41 57 13 2-9 ' 1 I5 i£ 1 1 I6 16 —0 0 0 0 0 10 z1 I *3' 14 37 >i5° 11 0 038 39 z I 5 5 zz Z3 :I 'I m Z6 -3 5 34 :8! 49 48 0 041 43 z z 6 7 2-4 2-4 O Z7 a8 ap 3° 33 3° 5 s” 1 1 1 1 1 Ic 15 17 J z +7 4« fs 4+ c 0 c 0 44 45 +8 49 I z 7 7 7 8 17 33 49 4 \6 IG 15 15 0 c 0 z5 Z7 z8 I 1 r- Adde MAM| _ L Mi nuc MI I M S8 $ TABVLA aquationum Mercurii Drfa Uj 5.9 TABVLAaquationum Mercurii. ¥ Line? nu Aequa- Logi- Aequa- Logi- meri co tio 0atudo 0tio ar- Otudo W munes. cerri I011- §<. gumeti Bipro gt sMj M, Mg*°r .MAdde Mpior jM a 1 nue •i ili isra 4J1*1 immi|mi'. 1g** 312-5 130 >48 0735 3482-3 145 •z 3* 18 117 3 47 136 3'4 +4.2-4 143 z 33 I17 !114 347 0314- x410 14 141i 34 1151 1H3+611 2-5 313. 55 2-5 135 1 35 |M| 18 34602-5 423 2-9 15 137i 3»' |H 15345 1l11 413316 1; 34 i 37 2,3 11 1 345 °117 41 1 55 2-7 132- i. 3« ii 5344 -l*3 41z5‘7 12-5 3' 35 1 1 5344 0l541 1 41l8 116 3 4° 10 13343. l541 1 11 lj> 12-3 3 4115 10343 00510 43 2-5 'i 10 3. 411 8 057 343 0I55 510 13 30 117 3 43 '7 054 341 1Is° 5943 3° 124 3 44 05i 341 0144 6931iI13 45 »5 048 341 038 <5 840 32- 174 | 45*4 045 34101 ' 315873 3 1A3I 47 13041 341>I15 5734 33 104 481 1 035 341°! 115 7713305* 4 45 11 0Ts 4 4«0I23 562.7. 34 052- 4 Y* «031 3410175553 34 047 5 5" 50 iS 441 0« 1 <5 sIS 34 [-1 °43 4 51 8 0M3' 41005 5 5444| 3505 53 7011 40 •4S7. 41 0 0335 54 5015 340 0041' 5335 0i8 5 55 50i534° 0035 035 074 4 5<5 40ifr 340 0018 7i14 3ff 015 5 57 305440 0 0 11 '7 M1-3 051 45 sS i05340 00.4 7f 3401 0 4 55 0334° 0 0 7.71 03« 3655 50 000340 0 0170O36 005 Adde A;AAMi- AIA snuc Hii 24 *jr ?'• z5‘ Tabula Medii Motus Martis c? ; l .r15r? r4| 25J 5sRm5L?! 58-1. 5 '8—mi' 5XsSnh1 3 I sSm_* 5sS1“i * 15 1smX1mx3 o o 31x<5 s» 40 5O3101614 45 s» 42, 35 0 0. IX537xo 1*0 O31016 4« IX 37 XX 40 0 j oI34 19 5* 0>5 O3301717 39 16x4.5 0 4oX548 34 40 xo O34 017 49 554 41 5° 0 50X37 13.3 xo z5035 0 18 xo 3z33 XX 55 0 6o3839 5Z03° O3<5 01 8 5159 IX300 7o34° <r 3° 40 35 O37 019 z3z55° 43 S0 8o41 1 339xo 40 O58 019 54 5zx913 10 0 9o4 4 x5i> 48 045 039 010 24 19 83‘5 0 oo5T4x6z6 40 5° 040 0xo 57 45 45 43 XO 0 l0543 »520 55 O410 21 X9 12 z5z3z50 2. 0 6 19 44 0O41 °22 03* 4330 0 3o648 XX 4- 5O43 0XX 3z54x35 0 407xo 311 10 O 44 0z33 3 z21 2340 0 5o7513i> 40 IJ5O45 0z334 59 0345 c f> o823«18 41xo 460z44z538 43 5° 0 7os54 3157 »z5047 014l37 5z17 z355 0 809MSS 36>3° 048 0MS18 5* 400 9o957 z6 H4i 35 O49 °M40 45 34 44 50 o o Iox8 5253XI 40 O5° 016 IXIXMx41 0 0 ioi i 019 3ZI45 051o16 43 38 5Z415 0 0I i 314* 10 41 5° °5Z0z7J5 5 30 44 xo 0 3oIX311 49 1 1 55 O53 017I4C 3X 914 z50 ±oIX34139 x8 X0O54 0 18 758 48 43° 0 5o156541 5055 0 x8 49 z5'i 644 35 '0 611 37131 45 22 10 O58 02-9 5Z514 40 0 7oM5-9 14 X15O57 0X95Z18 44 4|45 '0 >4 4£ 14Zxo O 58 03° z345 XX 44 1500 9c1541XX MC5^ 03° 55 ,2 r’-4l'SS 0 1543 1-9 xo X3° 060 031x<> 38 40 S0 0 £ TABVLA aiqwationum Marris. c? Linese nu- 'meri comunes Aequatio centri 1 1 OLogitu do lon- OAequa- tio argumeti Drfa Logitudo pro- O Minue A§'o Mgior AAdde Apior A i5GmmmlG m - GmmG*m i53 O1 1 11 60 0 O 2024 24 022 2ssO22 60 0 O 3041 2403I 357 033 60 0O41 1 I224 04I •4 5*044 II 60 0 O62136 24 0 6 2 555 055 II60 ° ° 712O24 07I 654 I5IO 60 0O81224 24 092 753 116 1 1 5-9 O.0 2248 24 01 0 I 852-I37 II55 -0O>3I224 0122 951I38 5-9 0 O 12133^24 013 I IO 5o149 11 55 0°!42355 23 0J52 ii490II5.9 0 O 151423 24 016 I I248 1 0 IO 55 0O161440 23 018 1 *3 47 2 2 1II58 1O 18 2510 24 026 2 J4 4ff 231I I 58 0O191534 M0211 1545 241IO 58 0O 20 1557 023 2 icr 44 253 1 1 57 1O22262114 024 I 17 43 331 0 57 0 O 2-3 1644 23 026 2 18 42 313IO 57 0024 17824 028 2 1<j 4i324 1 1 561°262731 24 0291 20 40 335 1Is« 0°27 7s« 24 0312 2 1 39345 IO 56 0028 819 23 032 22 38 35655 1O30 2.8±1 24 0342 23 4IO 55 0 0 3».9 623 035 .1 24 36 41<r IO 55 0°53 150 24 '037 2 2-5 354z6 IO 54 035*54|mI 038 2(5 34 43*1 0 54 0J037 210 l8 z+| 040 2 2-7 3 3 44£T IO 531038 104»23 104i I 28 45*IC 5301040 2524|043 2 25315•c, /IO 52 1 1c4>28 13 1 044 ! 3°3°511 0 57-0•’ 1042 5123 1 04*2 I5Adde MAIMMi- MM: r* nue TABVLA aquationum Ionis. %_ TABVLA AEquationumlouis 7° V TABVLA aquationum Ionis. % Linea nu- AEqua 2SLogi- AEqua- Logi meri.com- .tio-ccn- ddtudo dtio ardtudo d munes m«I lonjumenti pro- .s Mi- AMgior AAdde Apio. A inue fA G||G G"m s.| J*> Gfi, n, Hmm.Gml I5P 5 5 42PVOIO 0844 7O11 0 1S85P418 IO 11 g5° 6O23 1 357 5X1327 IO 11 08O23 0 455515316 I01 1 °j »28O23 0 555 518 325 1011 -986O241 654 510 124 1011 0P'4 i0240 753 523 323 IO11 0P20 <r 024 0 852 51631 1 1O23 P165 0 25 1 P51518 •2- 10 1023 0P315025 0 I05° 5313ip I023 0P3G5225 0 ii4S 533 118 I024 1pki j0l£5 1 1 1 48 535 1L_ *7 1.0 24 09|45s016 0 *3 47 537 11tf I024 0P5150Itf 0 *4 46 53P15I025 P5« 527 J545 54' 114 1025 0I0 0 4027 0 16 44 543 13025 0X05s027 0 1743 545 11 1 I025 010P4018 1 r8 41 54431 1 I0161I0J34018 0 ip 41548 1 0 I0160I017 4018 0 io 40 54P 1PI0160101 1 40ip 1 ii 5P 550 1810160 IO 25 402P 0 ii -i» 55i 7I0IC 0102P40ip 0 *3 2-7 5511(J °2ff 01 1 0 32 302S0 2-4 3ff 55315I0271jio 35 303° 1 M3S 554 14027 01,0 3« 3030 0 l6 34 555 i31027 0|io 4' 303° 0 17 33 555 0iI027 e10 44 >030 0 2«32. 556110270IO 47 303° 0 ap |3> ss« 0^1°'027 0104P 1030 0 3° 3° 557 1?2 >0 0 1051a030 0 — 1 4IAdde M'A MMi MM 1!, M——nue ——— X TABVLA aquationum Ionis. X Linea nu- Aequa- meri cotio q munes centri !§Logi- Aequa- Logi- 0tudo tio ar- (3 tudo £• Iong». giimeti g* pro- £- s 2 Minue MAgior MAdde Mpior M .GGGmmGm|ra| G. mm1 G *in - 31 32 2- 28 31 55 5 (7 5a0 53.1 1 O O 11 20 06 6 a3 I I O -b 22 2 1 0 33 34 2-7 2(7 245 44 [1 0 O O I9 19 i 0 6 5 0 48 12 I2 0 0 20 20 X 0 35 36 37 S» M 24 2 2 38 31\x O O 0 l8 17: 5 _L J 3G 24 I2 I2 0 0 19 18 1 a3 22 : 2(7 20 (7 (7 O 0 017 i6 0 1 12 0 I2 I2. 0 0 xS 27 0 1 35 40 41 42 20 2 ^4 Ss« 5« O 0 0 15 1504 448 30 0 16 I6 1 0m 19 18 2 5« <7 657 57 O 0 0 .14 13 j 1 4 4 22 s> 13 13 0 025 24 1 1 43 44 17 1(7 15° 43 6 7 57 58 0 1 0 0 13 12 0 1 3 3 5^ 42 I3 T4 0 024 23 '0 1 45 4(7 15 14 : 37 30 5 7 5«O O 0 01 1 1 03 3 2-9 76 23 23 0 0 I2 I2 1 0 47 48 I3 1 2 24 18 (7 (7 52 59 I O 0 0 10 .9 1 1 3 2 3 45 S0 0 II 10 1 1 49 50 1 1 ro 12 5 «5 755 O 0 0 09 8 0 1 2 2 35 2 1 14 24 0 0 IO 9 0 1- 51 '51 9 8 o|j9 0152 6 7 (7o 60 0 0 07 7 1 0 27 53 14 40 0 8 7 1 53 "54 7 (7 ”*5 4 ' oUc °|3 9 6 7 60 60 0 0 0 0 6 51 139 2-5 J4 '4 0 07 •6 0 X 55 5<r 033 °| a7 6 (7 (7o (70 0 0 05 4 01 0 r1 57 i0 0 5 41 57 58 3 20J20 0J14 7 6" 60 60 0 0 10 043 2-9 r0 03 2 1 , 55 60 017 0107 7 60 60 0 0°| 1 o| 0 1 1 c 0 15 624 1 'O 0 1 0 1 1 3Adde AMAMinue AA K Pf *&**t.vi p>. incarnationis ad meridianum Toleti, i. Tabula medii motus Saturni. 311 51- 8Iml 1Jll sl61mIz13| 1|_ !ii i* ui^rTu ii mimi: -°35>74° 1 1 I- iio 3520 42 s j i45 53^ 3 !iii io 41 14 ?118 ii 4J t3314£ i6 4-4 7341h-7 441 2. 1 12148 !517 I3S3| 9 >5;ms43|3° i| 6I18I1413 51 4II Q°M1 15JO0I30 iG\ ooJ32. j 17 o^|J7 1 8 jo0(36] 21 o o 42 22 IO O 44) qi— | 4* X4| ,o0)48 2.5j O'o 15o | 1-61O0(52 27 Io o 54 2S| O055 2J?| Ooj 58 1 30 jOl| Oj «II 8n>lT, 7T3844 44 33 18H7-4 54 . >84sUs S>5 914 4j45 3S [.10 o025(57 >'103518 tf 18 !11 10 35 4* 5U 1ii 4553 27 o .1221 11721 .1255 18 47 41 i 13fj ^urr '14 _7 _4 >14142- 11 48 [45 :illj_Z_ l£.i£j_£_ f1slya- 57I ii( z7 14143)148 1lA33*3°| 5 117J38 50I I0I30 Tfi r _ 1"IT •n!~rmrj°>-mr 31II °| 14li8|i4| 7;oU 1 3il °| 1_4 814f|M_lilii 331| °| «>s M|43 1 1 13 3 34» °l 1i*°l °l oiil_S4 351| °| 110 1 0 1351 1 8 3x| 1s 3<5 || o| II2 2 I | IOJ3<> IX|36j 37 °l 1>4 11 +S|S3 S157' 38[o| 11 G 22j2111133(18 35I o118 12(56)2.9 13 ]3 <> 4o( o 120 x313114<j Jj4| o 413 51 41 o121 24 7434(21 24 x242 o124 24 42 22 14 I42. 43 o1itr 25 17 31? 55 3 44 o128 25)52 57(35 14 45 °13°2-8 7TT 1J4S 41? O13217 332(5 66 47 | o•34 *7 385°36l7 48 1 o13628 14 816 48 4S>\ o138 28 41? 25 57 i? 50 jo140 ip 14 j3 3730 5ij o141 30 oi| 17 51 52I o144 30 351815^8 ii 53 o14631 10 36)38 33 _54 o148li 45 54| 1854 55 o150 32 21 11(55) 15 56 o1?ii i£ 11 57 0154 3313147 11 .9 57 il _! J341_7 _5|_° il 5P| 0158 34)42 2. 2140 35 60 1o2o351»74o|n o ni S! Imi il iIII 77 Dm\< Sed' (i plancta Fuerit retrogradus, ficutiplanetx dire&o s(d'didifti, fubducito ex retrogrado,. &. habebis intentum. Si volueris feire locum eius in diebus elapfis. ante diem in quo tuum planetam fupputafti,& fueritdircftus/ubtrahe quod per illam multiplicationem iauenifti.. Si vero retrocedens, adiicito,& habebis quod tota mente petebas. Latitudinem inuefiugare." Cum argumento verointra tabellas $Fub lineis numeri ,8cvtrofque tam declinationis, quamreflexionis numeros ex direfto repertos fcorfumIcribe. Dein eius centro vero ad- *Vf- /Hfrni! de g.<)0.& cum refiduo(abieftis tf.fignis II oportuerit)ingredere eafdem lineas numeri, & minuta proportionalia ex direfto reperta feribe etiam ad partem. Tertio cum iis &declinatione iuperius feruata fac partem proportionalem, ficuti infra docebimus ,&profilictr prima eius latitudo examinata qua: proueniet ex declinatione epicycli. Qua: quidem meridianaappellabitur,fi argumentum verum ¢rum verum cui cjo.g. addidifti,fuerint ineadem parte circuli,boc eft,fi ambofint comperti in-fuperiori medietate tabella; ,aut ambo in medietate inferiori. Sed fi. vnum fuerit repertum in vna parte,alterum verd in altera,erit latitudo feptentrionalis.Circa:igitur hanc latitudinem feribe fepten .vel merid. Dicituretiam in iftis tabellis medietas fuperior vel inferior. Quado centrum vel &§. g ..o- o, .i: 30 ,Argumentu luerit ab ad ^*Superior —"——-JL —medietas I» 13oad 430 Inferior Quarto cum.fimplicicetro, Aprilis reperto icilicet antequam fieret fibi additio 9o.gra- 1^duum,aflumito minuta proportionalia,.qua: in duobus locis feorfum Icribe ,poftea accipe partem proportionalem.reflexionis fecundum proportionem horum minutorum proportionalium ad 6o.Sc liiec erit reflexio examinata feptentrionalis quidem ,fi centrum illud fim- •P^cx fuerit repertumin medietate fuperiori,&cum.Hoc argumentum verum fuerit minus 3. . %nis pbyficis :fi verd plus,erit reflexio meridiana.. Si verd centrum verum fuerit in ‘^7 medietate inferiori,&argumentum verum minus f.3 .erit reflexio illa-meridionalis. Sedfi ^argumentum verum fuerit plus ?. 3.dicetur reflexio feptent. Qua: quidem .erit latitudo fecundd examinata proucniens ex reflexione epic. u-jetr r,.- j ijx..- Qijintd de minutis proportionalibus in altero loco feorfum feriptis accipe fextam parj, “>• tem, qua: eritlatitudp tertio examinata proueniens.ex deuiatione deferentis ab ecliptica,. cftquc fe.mper ifta latitudo feptentrionalis. Iftas denique latitudines adinuicem collige, k._fi omnes fuerint in eadem, parteryeriim fi una fuerit in parte feptent.& altera in meridio- ' ’'•1nali aut econuerfOjfubtrahe minorem a, maiore}&refiduum erit latitudo ^verificata.fept, vel mer.iuxta titulum.maioris.. Latitudinem iupputare: '.. Gumsrgumcpto vero aecipe declinationem atque reflexionem ,eafquefeorfum feribe» Deinfi centrum :vcrum fuerit in -fuperiori.. medietate, ex fola reflexione decimam partem verd in medietate inferiori,decimam partem reflexionis fuper diftam reflexione' «sassswadde,& quod poftadditionem>Yel fubtra&ionem prouenerit loco prima:. reflexionis ferua . ad partem,primaiam deleta .Poftea: centro vero adde s.4.G. 30. abieftis tamen s~. 6. fi" oportuerit: &cum refiduo vel cum eo quod fuerit minus cape M.onortionalia.cum qui-r fi oportuerit: S: cum refiduo vel cumeo quod fuerit minus cape M.^pportiona 1ia,cum qui-r kus &declinatione.feruata ad partem fiat pars proportionalis^vti infra docebimus.Quavo ^jS^^M^Tcabitur latitudo primd examinata.profilieS ex, declinatione epicycli:fries autem nunquid -il- fi^gwaUi^l^yftraliSjveluti in.g prob.lema.te .docuimus..Deinde .centto vero , /y-irsatide s.3 .& congeries illa mfmuabit tibi M.proportionalem duobus locis annotanda,cum > quibus &reflexione feruata adpartem fac partem proportionalem,qua: reflexio examinata appellabitur .Et fi centrum verum cufis .3 .exaggerafti eregione cuius M.proportionalia f fumpfifti,fuerit in medietate fupiori ,operare ficuti in fjl pro habenda latitudine lecundd examinata,qua* prouenitex reflexione epicyeli.Nec eft differentia,nifi qudd hic oportet negociari cum centro vero &fuo.addito,ibi aute cum fimplici ccntrorfcribe ergo eaig, &no- %j^ v men fu» partis, &poftmoduinacgge^de^m^roport. in altei^locgrum feruatis quartam partem &cfimidium quarta,fagc-pars cuin-ettis dimidio erit^latitudo tertio examinata, quas.- femper eft meridionalis. Dein has tres latitudines adinuicem collige,ficut in £di&um eft. i Repertis igitur latitudinibus &^hfupputabis eafdemad 10.dies poft, &fi videris e-- asangumetari,& fuerit latitudo Sept.ipfa critafcendens:fin autem diminui,erit latitudo Septentr.dcfcendens:veriim fi latitudo foret meridiana &augeatur,appellabitur Defcendens> ,1* fi minuatur,Afcendens. '“* vLatitudinis E%c* indagare. Centro Martis squato nihil addas,fed centro squato Saturni gradus jo.adiicito.ab I6-* uis autem zo. diducito,&quod eregioneipforum comperies de minutis proportionalibus • afliimito. Dein cum argumento vero planets in tabella propria accipe latitudinem Sept. fi centrum verum planets fimplex in d",vel cum eorum addito aut diminuto in reliquis fuerit in parte fupeiiori tabularum. Si vero huiufcemodi centra squata fuerint in parte inferiore,aflumito latitudinem meirdianam.Poftea de hac latitudine accipcpartem proportionalem fecundum proportionem minutorum proportionalium ad 60 .&illud quod proueniet,erit latitudo planets,in parte in qua inueneris eam. Dein fi latitudo ipforum fuerit feptentrionalis,& argumentum verum minus fignis 3.erit a.r cendens:fin plus,defcendenst: econuerfb autem erit-.fi eorum latitudo foretmeridionalis. Partem proportionalem in iftis tabellis qus per 6.augmentantur reperire. Si centrum &argumentum squatum prscife non poteris reperire iniftis tabellis ,primd intrabis cum numero minore proximiore,# quod in dire&o.reperies,fcribe ad partem. Dein cum maiore illicet fequente, &quicquid eregione reperies etiam feribe feorfum altem., fub altero,&diducito minorem amaiore,&refiduumerit differentia, quam multiplica per e^effum tui numeri,cum quo hafce tabellas intrare debueras,ad numerum minorem in tabula repertunf- ,&produ£him diuide per 6.&inquotiente profiliet pars proportionalis,, quam adde aquationi prims,fi fecundafuerit maior,vcl fubtrahe,fi minor. . '"ZtAyHAfaa. £-rejhfcii. Ir1a- 3L±- ttT a. IT JH- 3i1 ±>a0itt" r~r*-i \/1/1 13 \s\*t\*t\T Um,} qjMU*- **Jn4r\' _ -:..,„ . ±^Clvia'<> £- W c.*.b! *> b-t,,.q,- C"SorM-VlV-V WZShSM** u+. *'j**h<: WOcliit a.. 3 a. 1•+o--3 3<f 3I 1 £. S-t-ff-. f- 1»• a- 3•1- O- 3l1±x 1 • X_ 3it. 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Is\W\ 4] Jtol4j>|to|g xl14|i 4|._ff|^|. (Lj*1xixvmiTi °i 3~i °i 1^49 i^il^.i 5tiott) ' 4~i *a7in h°i* 7- * TABELLA pafsionitm ip Tabula vifionu &occultationum Ionis , 1 Statio prima Tabella diuerli motus in vno die ip Tabella latitudinis Vifio Tp [ri coramu- |nes VMotus IMotus punfti jporti- |onis Decii natio /cptc. Dedi natio mer. Vf.prolortio- lalia Ortus s' GJ s |G I iG| m| riil; |mlE.L Gi *Gni w2, 3* 3A matutinus s|G|m. o, 5 5. 54 X Z4 45 fi 4 43zI850 34 841 II 1 1 7 8 •X T5 fi 59 58 tTip|33 V|i 8|zi 0 ® 18, 245 5 42 3* z z4’> 4I35 8 4i3 <5;8 3°l 8I£8 9 1 1 6 7, 57 54 0 3« 13015. 3*1 5 3°| 24| 1l z+»138 8. 39. 7 7'] 5°| 11 1 1 •IO n18. 9 52 48 O 24 a "i p|44 9] 7°+1 48 5‘8 514 z4 44 441 43 7 734| h| •1 1 1z: 1 13 1 10 11 44 40 24 q Sfli rei 9 9 o 7it 54 05 5 fi O z4 41:44 46 fi 65°| 271 H 1fi 1 1 »3 ifi 35 30 M; 0 T *9 II 44 44 14 1 1 -; 1 24 454 48 z z 5 5s4 448 5° 1ni : 18,1- x1 1 1 18 Zl 14 18 24 24 X r4 1-8 :18 244 442 36 z z 5 5s4. 4 53 55 4 3 45 1 34| .1 1 1 zAi *7r* H 27 1z fi H 14 Occulta,eiuc 1i30 :±i3° rz_5 p-i 4_si z±4 3°| 13° iccl&fttho n'"! 13* 424 255c133 I3'3 fil 24 1.42 418 2sP? 5 3 Retr. .1.3 A3« I2|24 14» 4IZ 2*1m1 £ - •z8|z 4 .154 462;65IO 23°1|4214t 24I24 .204.02fi SI 5345 1,45 451 .3o|/-o •4 6354 2fi f| 5: 'ifi’ •5- 0«1 I. 483512 2I23. 48 2fi 5~*9 :fi r5•Ifi 1Pl 4cj.;o z18 34226|^.l ,5; 2.1 71S- I54| 44| 24 z24 33^2fi -w-\ 523832<l& I57l 4sI-4 t3° 330 .2 .fi SS)\ 525940 2ol S»[ 0' 23«32427tj-l 5271040 Ai 231 54! 3<5 •242 318 275' 2-8 1 1 35 2:t57] o' 2+8 31227,5e l529 12 25z|*6 2fil S8I3 s 254 3fi 27530 125CtT' 59(36 303027«1 53° *3 0:z |»8 >«1 fio[ 6 Occalus vcfptinus ! *x *i *+ M Superior 5® Tabella palsionum T5- Tabula vilionu& occultationu Saturni. 1 Statio 1 prima 1 Tabella diucr- i fi motus in ! |vno die Tj | •Tabella latitudmis. Villo, Tr 'Lines nume- 1 ri communes f? jMotus | ipunfti . 1 Motus ' portionis . Declinatio ' fepie. ] Decii- | natio mer. 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In ffontifpicio tabula afcefionum re&arum qus incipita'jc, difquirito fignum inquo eft 0,gradum verd in lateris finiftri prima linea,&in angulo communi fiuc area eiufdem tabu ls comperies afccnfionem eius redam. Sed ii gradui Qminuta quspiamadhqferint,eregione gradus integri fumito primam arcenfionem redam.Dein alteram maiorem immediate fequentem,Sc (abducito minorem amaiore,&differentiamliac multiplica per M. Q:produdumvero diuide per 6o.Et quod profUiet in quotiente,addas prims afcenfioni redas, & habebis afcenfionem redam gradibus ac M.0correfpondentem.Poftmodum fumito gqm tionem dierum indiredo eiufdem gradus Qexiftentem,& pro quolibet gradu eius fcorfumi notabis M. quatuor horte, &pro quolibet minutoxquatuor, qua: adiicias tuis horis ac M.V, poft meridiemfi quas habueris^Demumilks horas ac M.poft meridiem reducito ad' gradus Sc M.graduupier tabellam conuertedi horas &Min gradus &eorum fra- Ekuatio poli IGlMl «'STO »1 BMh. 4_ii±ifcfL _£l4Sj ML I7Usk° diones,vel pro qualibet hora ieribefeorfug". r&pro quolibet minuto horte M.i5.graduumrquos gradus &M.addas prqdidte afcenfioni redte. Cuius congeriem vniuerfamfqu* tum afcefionibus obliquis horofcopi ,tu redis decimte -communis efp Quadopr^cifc reperies in areatabultE afeenfionum obliquarufub tui'climatis finitore, illico in primalineafiniftrorfifm offerent fe gradus (Igniferi emergentes in horofeopo -flue ortiui cardinis finitore,fignum verd -in tabula: frontifpido:Si ante non inueneris pr^ci/am huiufcemodi afcenfionu congeriem,(iib ea feribe numerum minorem proximiorem in area tabula: compertum, &gradus figniferi 'finiftrorfum in prima numerorum linea adiacentes eiq; correfpodentes eregione exarabis injhemate .Dein fubducito huiufcemodi numeru minorem atuo maiore, predudum multiplica per ffo.& quicunqu eprofilict acemus,diuidatur 1;pcr differentiam qua: eft inter illum aieenfionis numerum minorem &alterum maiore proximiorem in area eiufdem tabula: compertos, &prouenient in quotiente minuta adiicieda -gradibus horofeopi in themate exaratis-. Horofcopi gradum breuiirs inueftigarc. Horas &M.poft meridiem '(-liquas fortafle -habueris) reducito,vt nofti,adgradiis 8c M-. Quibus(ad4ita-»qnatinnrditfru.tri )adiicito aleenfionem reda O(abiedis 35o-.G.fi oportucrit)&congeries illa,qtts communis eft &afcenfionibus obliquis horofcopi &reftis de •cimcejfub tuo finitore reperta in areatabui* comonftrabitfupernc fignum,finiftrorfum ve- to inprima linea gradus horofcopi squales,fafta(vtipai-eft)fuppuutione quam-in fuperiori problemate enunciauimus. Graduhorofcopi reperto, reliquas domos cccVicas fabricare.j«§ Afcenfiones obliquas horofcopi vt fu piri repertas perquirito in tabula afcefionum rum,& gradus squalis in diredo earum repertus finiftrorfum erit gradus culminis fiuc me >i dii cadi .Dein huiufcemodi afcenfionibus adiicito.partes horarii duplicatas,&habebis afee fiones vndecimj,qnibus iterum adde eafdqpartes horarum, &'profilictafeenilones duodecinfhiis rurfum addantur e$dem partes horarum duplicat*,&prouenient afcenfiones ho- ^•ATofcopi.Poftmodumeafdem partes horarum duplicaras fubtrahe ex Go . &tefidvmm bis ad- •HM^dc ficutprius,&exprima coaccruatione effluet afcenfiones fecunda:, ex fecunda autetertis. c— , r, ^r^^Vniucrlas deniq; huiufcemodi afcenfiones reduc ad gradus figniferi quos squales appellat. < w£’Per tabulam alcenfionum re&arurn, quemadmodumin prscedenti problemate docuimus, conflabis quinque ccelicas domos. In diametro autem reliquas. TABVLA afcenfionumre&arum gra|- | ja- )( T dus les Alcen* fiones AEq-l tio dieru j] Alcenj iiones’ Aequa | tio dieru Alcen- 1 lioncs AEqtio dieru Afcenfio- I nes J AEq~ tio dieru X 2 —«J 1 2 m\G\ m| JG jmGmGlm Gj“j G*GIin *3I41 3133 33 34 II 0 037 33 c3 64 % ‘x 0 0 I2 15 90 •91 92 93 33 3° 2 2 25 20 •M 3P •3 4i 17 22 3 3 2-5 1 8 35 3^ii 0 030 26 «4 fs I0 0 2'7 20 45 40 2 .2 5 65 6 28 33 3 3 r ; 37 38 23 24 0 0 2-3 20 66 67 F 48 0 0S94 95 33 30 2 235 42 7 '8 7 8 38 43 .2 jJ 57 5°33 40 it a. i 2-7 0 0 18 15- 68 69 45 41 0 096 97 2-5 20 46 5i j> 1.0 9 IO 48 53 43 37 41 42 15- f? 0 0 '3 IO 70 72 37 33 0 .0 35 33 93 99 2 3 57 3 •I-T •; X1 1 1 '3 ’P3i 24 43 44 il 3° 0 0 8 £ 72 73 29 2-5 •0 0 42 45 100 IOI * 1 .3 3 8 24 I: 3 :'*4 :H- 15 8.1 2 '3I: 1 17 10 45 46 3*2)1 0 fi '0 5 474 75 2 1 x70° 45 54 101 102 57 523 3 29 24 l: S 16 1 6 17ifl 1 l\\ 1 3 5*47 48 h;3 r-£ 7<? 77 12 8 0 1 53 3 103 104 48 43 .3 3 29 34 »7 1:8 2;9 1-0 18 19 2-7 31 145 43 49 f° 28 0 0i78 78 3 52 1 1 7 I2 105 i06 39 35 3 3 39 44 20 H5i> 37 31H» °° 0 1 79 80 It : l6 2.1 . 107 x08 31 2-7 3 3 49 54 2, I 1.2 :;l# 1 19 jit 0 01 8x 81 8 40 * rV5 30 109 110 2-3 19 4 4 0 5 J-3 *4 i-5 2.6 :;Ih : x4 9]5511 2 |56|20 02 02 83 84 55 3°4 34 39 11 1 11 2 25 I24 _4 '4 4 i1 16 20 z3 261^8 281Iro 4 53 Is71 1 8 158 11603 8; 04 86 2-5 26 1 j 1 2- 44 49 "4 ~*s *7 18 ,»9 i_ M1 |3 °17 054 1P'45 L|53 |6o 1j 121°l I°l 7e; 25 'IO '1 54 0 ’5 10 !R I I 6 I17 3t fS Ii 42-7 432 3i fo c44 31 15 o| 4x 61 61 _£ |«9 .|9Q 4 34 ii TABVLAafcenfionum redarum Gra 'd xt tfp Q, dus. asq les AfcenjAequa- fio- 1tio nes 1dierum 1|Afcenfio- nes Aequatio dierum I1Afcen- H |nes Aequatio dierum IIAlcen- LIJL 1O1m Aequatio j dierum j Gfni|G|mEG£mG[m GmG* i x"ilo4 4 4i 44 148 145 5 5 33 33 1 8 1 181 5 IX I I 4 4 I5 24 »5lg i4 4 3 4 ixo 4 1x14 4 1- 4 48 521!? V* 55 5 5 33 33 183 184 27 XX 4 4 IO 7 ii S xI5| x1 3 3 4 4 5 5 1xx 4 xx 344 455 5* :u <r 5 5 33 3* 185 185 $>6 33 :'2 : xi 7|x|- x18] 14 3 3 4 4 7 8 " 114 §* IX$| 5 s,; *55 155 5 13 5 5 Z<) x5 187 188 38 43 3 3 57 54 zi<) xxo i* if w n 3 3 E 4 4 4 5 9 I0 1x5 P ix 7y_ 5 S 8 IO *57 M8 17 11 5 5 >3 XO 18 ., 13,0 48 53 3 35- 48 XX I XXX X I 1x 1x8 115 3: r5 s l3 I5MP 15o M Xj> 5 5 17 15 ipi it>3 58 3 3 3 45 2-4 xx 3 a J±l 115 1X5 V° 3 3 6 7 .8 5 *3 H130 |* 5 5 rrs xo i5i 15x 15 5 IX 1 0 194 255 8 23 ; 35 3^ f 5*3 3 1S 15 x3xT 133 3 5 5 XX i3 «3 1S4¥ 47 5 5 8 5E Ic,5 12Z ipS 199 T? n I 3 3 33 3° 1x7 xx 89 3° 3 3 io IX 17 18 34 | 35 3>1 M »7 I5J 155 52 | 1ZJ 5 5 3 03 3 2-7 2-5 2- 15 x3o xjj> i1#3 3 23 24 i io '*3* | 137 T1 x8 xp 158 153,; 4 4 5* 53 100 101 3 3 2-3 XI x3x x3xII 3 3 I5 27 XI XX x38 4I11! 30 311170 171 IX '7 445 44ff XOl 103 43 47 '3 3 15 27 233 x34 53 .3 29 XI 'x3 i4 140 P 141 3| 531 31- I7X >73 11 2-7 4 443 40 36 33 104 X05 \\ 3 3 2,5 13 23 5 x35 zi 10 ix4 2-7 M i 5 42¥ '43 t 7 \5 »1 5 3x 31 174 175 3x 38 4 4 xo 5 xo'8 v» 1 3 3 1 1 .9 237 x38 18 153 3 30 33 27 x8 r44 f r45 4 '[ 513 1 15|33 176 177 43 ** 43° 42-7 jiot, [XIO *3 3 8 7 2-35 2^ 140!1x3 3 35 4.9 ,>9 3° i4i 147 4« 178 180 54 0 4' 4'M xo Vo 2' 3 3 _3 5 5_ 24'R M1!' 53 3 42- 45 Miii: Ad latitudinem.14.Gr . TABVLA eleuationum fignorum infecundo climate dus |IAfccnj Parj «q I I fio- I. tcs I les J[nes [horaru. | II' G. Irivi Gf AT *4Sg*5 *4 *4935l3** [_£_ 1[148 lAicen- 1Par- IjAfcci: I fiotes |j fio jnes |horaru.| nes '| G| ni |~G~[fii |G~| I a83|3 1(13 3l% f» l3*7 )*) &iiJii. X {AlcenjPar- 338 jVM- 5 33 s59 M1 1 3| 13 11 iS 4]J5 ‘317I[3 I4|ffl I3| 13>| |335 fj|i+| 41 N154 13 “13181|3 Is|4>lill35lj34° 33NI 5^? 1?' I3| Is| 8 | | 3lS f5| I3|3I ||34 ‘T5|h|WF7?13 ‘S _H4^'3 '7 _ ‘i» 3°Ij| I3 ’M7.jff 13 1 15’ lilii MslW mIm 161 1 3| 13 "rf 13 1 13 i<?3 2& I3[I2. i.g<; J5i311_ x66 T7 13 11 ‘<7Ti M w[?rr«3 11 2.5>S J1z|r312. | 13 13 3°o|i3 13 13 ip 13 10! 301 1*3’ 1314 &o 170 fi 13 10 3oi 1*3 13 14 »7ift|i 3|io 172..) 2T5 [I3|P 4.7? lY^h 31516 ’oo| <5"{13|1 7 1 3IS WF^ 3<r 3«I7°I'3 37 _ "3*‘|E|>3p 311 341 134° "smIS? '3 42 314 18 13 43__ ’Ul J? ’ fit Jq11 3 4<7 314 Jo 13 48 317 jfii 13 4J) 318 13 51 315 io 13 5^ _ ’33° 3>3 53 330 58 13 S4_ I5TT5I4I I6 34**5,Hi! 34*0£*4 x9 343 \V7 HI* 1 3441*3 Hi* 3 345 *5 Hf*5 347 J5 *4 3° 348 10 14 3 1 350 z4 14 37 3515|i4 35 353 V*4 44 :>3 S1*|3S4|1^I'4|48 2S|4750'3 8Jr3‘S 333fW" !3[ss |3S ‘> 1 *i£_ |^7fT3i_3 83°f *13 *o 334 14 14 11357 ii,!' ‘>1 7\I-jio|5>|i 3U+| |33«|J?|M1«I l35 J>h«h 45* 35.Sl34U4.l451 '3;sJi8| i4|;i 357T 31MI 5.3 357 47 M55 101 Ad latitudinem 3i.Gra. TABVLA Eleuationum fignorum in tertio elimare. ’GraJ | np ^«l_ dus .sq les | AlcenjPar- 1fio- Ites j 'nes (horarii \ Afccn- |Parfio- Ites nes jhoraru Alcenfio- nes Partes 1 horarii Alcenfio- nes Partes horaru | | G|m|GjmGm|G rii GmGmG|m Gm 1110 111 f? *7 4 *7|3 I4d 147 id id J 181 181 4>4 x4S» 5« Vi-s 2- x7374i> 4f 44 ii 40 3S - 3 4 X13 114 16 j7| 1 i6|59 .48 [14SIid Id 18 3 184 ?5 x4 ‘4 54 51 118 119 %17 23 x3 5 d xx 5 1id ffe id IdS8 S6. TfT 151 1 15 15i: 185 18dfx4 14 4P 47 110 o-O-l- 111 7 8m 1% 15(54 i6 |53 1^3 x54 fi 15 25 54 51 188 189 lx4 x445 43 113 II4 llj 11 d ”0 ii 10 «0 & 13 13 13 r3 3d ii 32 30 - 9 10 110 11 1 s51 i6|49 155 ifd fi x5 15 4i> 46 190 191 ff 14 *4 40 38 11 12 *4 111 113 W 11« fId Id 47 45 44 41 £^8 5^nXS 15 44 41 191 !931'4 >4 3-5 33 127 m57 4 13 ux8 id >J 8 x 7P Id Id ido idi s15 15 40 37 I9d 14 24 30 18 - 13 0 231 w ?8 43 x3 x3 23 24 22 20 18 - >5 ad 117 118 id id 40 38 Idl Id3%15 x5 35 31 . 197 198 Wx4 14 2-5 13 231 233 i‘0 ^1 17 18 119 130 IIG I 3d 34 m idd I7! 15 ii 3° 2-7 199 lOO %J4 *4 10 .s 4*4 13 dS23 23 id 25 - JJ> 10 131 133 7? ^0 ie> id 1: id7 Id8 i.6 a-d 19 15 *5 M 11 r" W\ 103 ix4 14 id x4 237 23 8$23 23 23 1 1 11 ii »34 2.3 5&id id 18 id ld£ 170 I! 10 17 104 105 x4 14 11 9i123 13 9 7- A3 t4>5« 0 10 Id14 Idjll I7I 273 T715 v15 15 13 iOd 107 i? r4 x4 6 4143 I23 23 d 4 25 id J35- 140 1*0 0-1. 31 IdjlO Idj 18 x74 175 rd k11 ^5 11518 ghy| * 43 1M1_4 5115I 1 °( 1510 : Ws IIO fTi4 y4M0144 245 & H23 •I 3 2 1- 2-7 18 19 3° J4J 141 »45 1 ?; Idtld Id| 14 W' i7d «77 178 180 II I III rr^ ii 4 &h ^51 13 17 ii 53 51 - if* 148 IJO s 81 1 1 12 I2 I 1 59 57 5* 54 J Adlatitudinem 37.Gr. Tabula cleuationum lignorum in quarto climate. IO(> G"-| |T1° ~X dus *5- les. Afcefio- nes' Partes lior. Afcefio- nes Par- .tes hor. Afcefio- nes Partes hor. Afcefio- nes Partes hor. LE1”*m8rii 8*lr1S1“Is ni 81”. im 3* 3P im#» I£ 19 18 2%9 *Vo I1 1 5a | 51 | f?3 a»-£) 315 &11 43 11 £4 £<j 342 342 |f M 3. 4M7 £58 I£ I£ 16' H£p£ £p3 1 1 1 1 » 53 3£° 3£I fI£ 1z £8 30 34z 343 m4£ 45 48 j± 54 57 5 6SI £dO II£ I£ 23 I£ £54 *P5 |1 1 11 53 54 3££ 3£351 2 | I£ 31 34 34*1 344 Yt 56 J3 23 7 8 £d£ £6‘3 $I£ I1 IO P zp 6 £97 1 1 1 1 54 54 m 3£4 II£ I2 37 3i> _ 345 34* 5T “8 13 13 9 IO £CT41I£ I£ 8 6 £98 £99 %1 1 ii 5 5 55 3M 3£6 14 I£ I£41 43 34* 347 113 24 5* 11 1£ £<T6 £<>8 II£5 4 300 30 r $> %1 1 1 1 5« 57 #47 11 11 45 48 3+s 548 M 24 5 8 l3 H£t>9 £70 11 I£1 302 303 %’ 11 5« 5p 3.28 ££9 sI£ 12 50 51342 35° K 3, J4 J413 *5 1-5 1 7 i-8 "?o fo I£ I I 0 5P 3°4 3°5 $I£ I£ 0te® I£54 57 35° 351I24 14 16 19 $7% 2-75 %II I I 53 57 30 6 30 7$ I£ I£ I£ 3 4|33> |3 3a11 i3 352 J\ili I353 1353 U54 1355 77 24 24 ££ 25 15 10 175 £77 ii ?o II I I 5* 55 308 309 ii) I£ I£ 5 6!•” 24 24 £8 ii 34 i? 40 43 £1 ££ m5 47 i i 1 1 55 54 310 310 ’^£ ?7 I£ I£ 8 9. 334 335 %9 Vz 13 23 1 1 24 51*4 4i 114 11-4 «4|i4 13 HWb £8 £5 '4 1 1 54 54 i*1 & % I£ I£ I£ I£ 10 I£ 13 13 16 18 |3 55 13 5* M £5 =s 3 £84 S|;; 53 53 313 314 r3 Mte® I3 I 131 £0 2-3 1 13 5* 13 57!|::l 4* 49 £7 £8 £5 30 7 l8jit: ii- 53 1' 54 315 32_* 3r7 318 fit VS 'h 1-1 i <5 1 8 £0 £-£ 1338tf?5 15 35^7 mV3 1 16 1 £8] SI llS 8 _|3S?. jiSP 3ff0' Stel '%\~14 °( 15 5a 11 57 •6 Ad latitudinem 41.Gra. TABVLA cleuationuni lignorum Gral |Tyxc <fs> dus | *<H les 1 AfccnJ Parfio Ites nes horarii AlcenI fo .Jnes Partes 'lorarii .|Afccn jPar- 1lito- ' Ites nes liioraru jAfccn . | -flo jnes fPar. tes horarii g1*g1* 8l* em11SmTJJT.fl m61 ”> 1 2 03 425I 3. 15J7 18 18 aI5 I545 48 3-9 40. f18 18 11 23 58 59 18 rS 4-5 45 3 4i¥ 17 15I10 1S| 13 is 2C *-52 54 Sfi 18 iS ;i #l8 l8 44 43 5 5 2 32-5 1517 20 •21 21 157 0 18 18 19 2 1 73 74 3iS 1 8 43 41 7 8i 25 25 24 28 22 22 127 27 3 7146 42 ,8 .8 2-3 M. 25 28 75 75 £ fi 18 iS 18 1.8 42 4£ 41 40 ‘ O 'o S 5U32 35 X3 24 27 27 10 23 45 47 Il8 18 1 1 X2*r 425 25 38 42 24 2-5 S7 20 fM18 l8 29 32 80 81 %18 18 39 i£ 13 »4 &25 25 45 48 25 Vk 47 I7U3 27)25 5°m ¥1 is 18 3* 33 82 «1S-f 8 18 37 35 1S 15 8 9%25 2$ 52 55 2-7 28 w Yi I7I29 17)32 53 % ^6 28 h5 18(35 28I3 7 18(38 '85 f(8 18 3« 11 32. 32 i? 18 iJ> 20 9 IO i^i Y?f 25 1 5 55 229 M27l35 27|38 SIS 87 88P\1S V<r|i8 IO iu115 l533°u 31 17 17 40 27|43 SP 18I39 28 I40 89 il o|¥M 5*3 |i 8 29 28 21 zz 1 2 1 2 & 4-9 16 1 5 1 2 1 5 17 45 27 K9SR 18 18 42 42 ^Z? >8 53.^1 18 25 24 2-3 2-4 r3 »3 16 1(7 0 22 27 | 52- 27|54 50 51 18142 2S(42 rB 18 23 2 1 19 18 M 11 9 2-5 ):$ 1(7 15 IS r: 25 29 \ } S m 27|57 27|59 l8 12 i8|_4 18 I5 18J9 £3?» 18(43 18143 — S7ll(l 9842 O l8 l8 2-7 28 2.9 30 IS! 32] 3*1 H 43 1 54 *_5 55 £7 SNUx Vcfl 18 I45 ,/ffe ioo| 52 7^lK78 2034*4 l8 l8 Oii Aci latitudincm.4 1.Gr. TABVLA eleuationuni lignorum in quinto climate 10 i Gra np to» n\ dus | arq 1 les J 1Alcen- j Par- 1fio- Ites |nes |lioraru. |lAicailj~ Partes horaru. Alcenfio nes Partes horarii. Alcen- I ifio 1nes Partes horarii. 1Grii JGJ rii 1 1 G|m Grii Gm|G m GmGm JL io 5118 18 G 4 r43 144 it iG }* 39 3« x8x 18z $ 31H H57 53 - Z19 zZO jb 3* x3 x3 15 1z 31 4| 107 108 &x8 17 z 55 x45 147 11G iG 32. z5 183 8, 47 3 x4 x4 5° 47 ZZ I zz3 fi hx3 11 13 13 9 6 5.1 g| IOp 11 1 s17 17 ii 51 49 148 145» $1G 16 ZG ZZ l8G I87 Wx4 x4 43 40 zZ4 2"z5 sc ts 3 0 J11z 113 117 17 150 151 fJG 16 I» 16 l88 190 51 7 I4 14 3* 3zjff? zz8 t? 17 1z 1z 57 53 6 to ..4 IIG17 17 +s 45 rx53 154 £16 16 Iz 9 I9X 191 £x4 x4 2-9 2-5 zz<» Z30 xz IZ 50 4G I1 n1 1 7 118 17 17 40 38 x55 157 I16 16 5 1 I93 J95 fx4 HZZ 18 z3z 2-33 7 ?3 1z Iz 43 40 *3 14 115» 1z1517 1Z 17 17 o± 19 16 I'S 8 15£ IGI IGZ w15 15 59 55 I5»G 197 zf ?4 J4 H15 Iz Z34 z3G^9 Iz Iz 37 34 15 16 Izz IZ3I15 x5 Si 48 198 zoo 1H x4 8 5 237 z38?S Iz Iz 31 z8 17 i8 IZ 5 IZGI7 ‘7 zo ,6-3 154 fl 15 15 45 4z ZO I zoz |T 49 2 H ii x3 x3 1 58 55 51 i£b z4xi*8 Iz IZ M zz *9 zo 1Z7 ll C) ?I7|l 7 x7|i4 llGG \l67zo 15 15 38 35 104 Z05 z4z z43 I- 1z 1z zo 17 ZI Z'5 1' z+| 130 -.111 I3Z M41 17I IO 17 7 iG8 1 IGj) l^7 |l 7Z 37 53 15 15 31 z8 ZOG zo7sx3 13 48 44 2-45 Z4G 7 A2 17 27 3 0 15z4 zo Z05» ZIO fx3 13 41 38 2-47 z48 sr IZ 8 6 *s| zG| 2-71 z8| *9| 3°1 I135 113G |l 39 i »3- i5|$7 i£|54 itrlp i.^| 48 |«73 1 174 176 1 177 & S7 1 O 15 u 15 »5 47 13 ZII %-l -3- z13 I x3 11 x3 x3 34 31 Z50 iil 252 m1$ % IZ i1 11 3 1 i» 5* ,0 7 z14 ZI5 z8 2-4 I4° IH1fI<? 45 l5|43 178 180 15 3 15 o| z1 G z18 I13 13 ZI J_7 M5 Z5G t1? 1* 11 1 1 54 5X- Ad latitudinem .4 1.Gra. TABVLA eleuationum lignorum in quinto climate. Graj It *. *= .x dus | les 1 ZJ Alcen» fiones Partes horarii Alcenfio- nes Par- I tes 1 horaru Afcenlio- nes Parj tes horaru .IAfccn- 1fio- |nes 1Par- tes horaru Gjm gT*i G| iii GJ 3Glm gTsTI IGlm GIni 1 2\m\1i1 1 1 4-9 47 1 2-931 | 2-94| i5 b P S II 1 1 III I I j II II ls\ 15| i5 iil 17 i8| 3ll| 32-2- 1 32-31 324 IPT 132-51 r*. m |l! S I 1 1 1 11 1 1 1 I2 1 1Z X2 1 12 12 54, H S8 i 1 3 6 T, 11j _l r .54-v- 343 ' 1343 ! 1344 1344 345 |34f 34* 347 513 ‘3 2 1 14 28 ix 34 38 _ 3 _4 5 6 , 1 2. <To 1 2<>l j 1 1 1 1 4S| 41 1 41 35 • | 2-9S 19 6 j | 2-97 i m 1«i *3 13 \zi%\\t 1 1 1 1 7 81255 'I 1 1 iil 37I 3ff l 2-99 300 ?XI 1 I 18 19 32.5 3*7 II 13 *3 IV* 44,- 9 *P |l 57 j-v<£9 1 1 1 1 34 3Z ; 301 [301 £1 1 1 1 19 10 p/s 318 $1“ 1I2 14 17 |347 348 [S 13 1*3 I48 51 1 ii it I17° 17I34 1131 29 3°3 304 S1 XI 1 1 21 ii 319 330 % 2/0 I2 I2 20 22 34^ 34-9 •8 %I 13 55 !5*l *3 *4 2J2 mt11 1 11'| 28 >7 305 305 1 1 I I 14 w 33 1#8 l12- 25 28 35 ° 350 kl1*4 1*4 1 |- 5- 15 16 m 276 %11 1 11 1 25 2-4 307 308 a1 1 1 1 2-5 2-7 $1^ 1 Il|| 31 34,1'»!% %14 1*4 8 x1 17 18 177 178 fs 1 1 1 1 23 iii 309 310 40h18 19 1 |333 '334 ti 34 I2 I2I 37 [40 35 1 353 fH15 *4| *8 «1 m1 1 1 1 11 i° 312- 1 1 1j 31 32- 33 S , 33 31 i12 I2 I2 I2 43 [47i 5° 133 35"3 j 354|fX4I12 *4|aS u1 ii 181 [183 w1 1 1 1 19] 19 313 3*4IS 13 34 3* l33 <^ ,3 37 i354 355 f14I2-9 141 3 2 , -2- l'sliil'8 itjf a,-* 1 1 1 1 1 1 37 39 iJ3 zi 338 I2 13 57 o 3 5 ^ i3 5 *14 14 3* 40 2<18 6 16 t7i1111x7 ’ |316 'I3171'1 1 1 'II I 41 |4i1 |339 |339 io tt *3 *3 13 16|357 |357 1^8 /-V 51 14 43 illlZ. 14I50 *4|53 - 17 I2$£ 1-8 1 1 290 it II 15 19 UM|3*8P |3 19*^8 11 1 1 4 5 1 1 1 147 34°| 34 *|%'iil 9 12-1 1 3is 3<S 29 1I291 301(292 11% ii15h20 ?8 1149 \l\ 1115 Ii" 115 1 !341 341 %1*3 1*3 1 '*5 1 _!_71 359 360 25 0 i4|57 *5J1 Oiii Vero foeo ©eregione propofiti menfis annotato,adiiciatur quod cx di redo tui anni voluentis compertum fuerit, &congeries erit verus locus ©in zodiaco,in meridie diei obIatar,fi annus fuerit bifextilis. Sin communis poft 18.Februarii lucem, in fingulis diebus meniium cx congerie illa vnum gradum fubducito. Introitum ©in y&quancunq* figniferi partem reperire. Perquirito locum ©verum ad tempus in quo arbitraris quod Qparum diftet ab y, etfi turvc fol efletin g.o.mo.y.Tempus acceptum erit quod perferutabaris. Sin focus,vidediftantiam ab y,quam fcies per fubtra&ioncm veri motus Oab iignis fi^qua reducito ad i' ,vel ij.poftea foias motu Oin vna hora, quam reducito etiam ad idem genus cofimilis denominationis ad quam reduxifti diftantia Oy:poftmodu diuide diftantia per motfi folis in vna hora &in quotienteprofiliet hor;.Etfi poft diuiflone aliquid remanferit,multiplica illud per 6o.Se. quod prouenerit diuide per id quodprius, &inquotiente aderut M.hora:: quas horas &M.addas tempori extimatofi fol nondum peruenerit ad primum m.y.vel ab. ipfo minue fi tranfierir,& profilict Atempus introitus Qin yverum^Si prouenients.o.g.o. iii.o.iiipputando locum folis:fin focus,reitera,vt diximus,quoad veritas clu^efoat. Eodem pa&o negociarein cteterisfignis.Horis igitur ac M.fic repertis adde horas <. m.48 •& prolibenthora: &M.poft meridiem in quibus Oannofoquente ingredieturprimum M.y.& Ikleinceps ad plerofoue annos . Introitum Oin figna cardinalia y-m <%> faciliter inueftigare. Apud ephemeridas vel per tabellam fuperius annotatam infpice x.lucc Martii,quando O peragrauerit parte .Dein quod minutulae partes defuerint ad cal&m vfque X»vtpote diftantia minutorumreperiantur in foquentis tabell? prima velfocunda numerorum ferie,& quas dextrorfum eregione comperies horas &M.poftmeridiem infinuabut tempus in quo Ointrocedet primam yminutula partem. Adillas horas &fraftiones erigito foherna coc- Iicum, &quidillo sequenti anno futurum fit diiudicato. Sit© exempli gratia in G.zjj .M. 40.)( .Tunc ad calcem pifciuminterie&a: eflent minutula: partes zo.qua* ad dextram com monftrabuntH.S.M.tT.i^o. poft meridiem: fin foret diftantia M.45. tunc ©ingrederetur primum yminutura decimadieMartiihoris 18.M.1 5poft meridie. Eodempafto. negociarc in ca:tcris fignis cardinalibus. || D|H|m|£ Bilex. Q%° » AEquittO&iurni vernaie~Martii.jfdjHwA.vrlh-, 1516 10J 3I53 i5i? xoj 9.I42, 1518 1o,| 15)32, 15 1,9, ion! 11 Bifextiles Radicum tabella.** mctUvrljl Chriitij | D|H|m|£| *44- 35 «L3J J3 14 40 80 a00 z4 3-®'! 40; 151<> I I5io 1514| 1518 :$~T 1-548 1580 \-6iz •1551 1584 1<> 1dT 1555 ^1588 1610 ^ 1560 -i 5>2 1-614 i564] i5j>6| i6a8| 153 6| 15 68 1 16001 1 6 3 1 1540 *544 1571 1604 1576 1608 1636 1640' I \S Fabricata eft ha:c tabella nu meri ficuti tabulie medioru motuum. Siannus in quo Icife volueris ingreflu ©in Y,fu erit bifextilis, &poft annfi falutis 15 16.fubtrahe annos 15 16.ab tuofluente:& refiduupartireper 4..&numerus quotiens infirmabit diesjhotasajqi fra&iones fubtrahedas ab diebusJioris ac fra&ionib us radicis.Cqui (cripei(uc eregianeani15ref. Eodem pa&o fi annus tuus in quo fcire volueris introitum ©in yfeu atquinodium vernum,fuerit gratia exempli fecundus paftbilextum, veluti annus 1518 .fubtrahe hunc 151 8.ab tub anno labete,& produdu diuide per 4.Et numerus quotiens commonftrabit adextris numeros fubtrahedos ab numeroradicis v-tpote anni 1j18•& ita deinceps .Venam fiannus propofitus ftieritantc -annos radicum,deme annum tuum oblatum abanis radicum,videlicet 1.51 6.1i fuerit intercalaris, aut 1517.11 primuspoft bifextum:vel ab anno lalutis 1518ii i.& produdu diuide per 4.& numerus quotiens indicabit eregione quidnumflris radicum fit addendum,&quod ex liuiufmodi fubtradione vel additione proucnict, erit tempus vernalis sequinodii. Q_ 122 Atquin.verni* Marti/ |diht i &fH- rMYl/t*** ,H .rM~ t'b lAOUiDil |IOIz| 3I40I JiiljdiililL Iiol 13 142,1 1X | 10 i.y U118 Aequinotium vernum Martii?^jner. yrl^nit^hs. h&Z4±m-< ps$&r- 10 o37 48 10 517 4 10 Ii 1<> 20 10 18 531? 913 iils"* io| 544 8 ;I OI I 33 Z4 10 17 ii 40 I53fT 10 oii> 1> 3S37 10 _£_ 1538I 10 57 »535» 147 1540I p13 31? b 1541) 10 52$ _ |i 541|*o 11 14 J 1543 10 17 4‘ 1544 d11 uJb 1545) 10 44i 1546^1 10 10 31 1547 110 16 11 . 1548 9in* 10 b 15 45? 103 5j) : 1550 10 949 ®1LL_ 10 x538 |D|Hm| 15C4919 18 1555 10 18 15 66 10 657 I567 ic il 46 T7?8 s18 3 s I559 10 o15 IJ 70 IO 614 . 1571 IO 12 3 1572 9\7~%X i?73 £_^3JJ£ 1$74 10 531 1575.10 11 20 i57^Tr~7^7"io'"" 1577 s\n <j9 1478 10 448 I 157.9 10 10 37) 1fj8| 110 823 Ini JSS9 |io |i 4n'~ 1,5 60 920 1• 15«Si 10 151 -Veneriis- 10 7 10 ilii b1114°I1912,3 11 1 1 ^ glb155^ i> 21 17 4> -i$ 8°I9I<^| 2'7 Siab numero eregione anoru 15 5 3 __3^]_L 1581 |S> |22 | 16 falutis i524-fubduxeris M-4i.. 155-4 10 96:1582 1 j1o14*- 1 5 2.5 S.refultabit introitus- OiV15fy10145 $1$8 3 1 1 1 0 ]i>| 54 $iii 528 .Etfiex nueris 1528.t> 15 5 «sl JVo 44 T"TT|T$ 144 ~ illud idem deduxeris-, proueni- 1557 io 233 1585 |<>| x1J33 et tempus introitus ©in ran- ,558 !,0 1T }In finitore viiT" no^ja.&uademceps.Sm io auteexM.ac 2.anni 1$2y.fubb—1-i1— traxeris,itide proiilietQ aditus ° J“1 Vc:-,-,:,x |o| ,|M mTanno i<2<).Siex horis ac 1—J—l._ •>_ ~~=r. : — \—o—i-r-r — fra&ionibus i5iS.proueniette' 1S61 10 7—,.- 0Le^1 : 1?—I.0 -!?— 1— _ pus illud qquino&ii verni anno __ 1?^3 |IO |*3 && Salerni |o[i4|A 153 o.Ex 1y27.idetideemerget $quino3iu vernti ani 153i.& fiede ceteris .AequinoQio verno addas dies 3.H.o. rii.42 .de ftatim Haturiet aquinoftium autumnalcmam fi anni 1524.diebus horis ac M.illud adicccris,proueniet aditus Qin tUd feptemb.die 1 3 .H.2.111.4 S•&40.. m'C*^*^*- •JU in 1 3. «yp. A«2v ^fg. 7- t, . 0. (tiwwA)' ISSA- 2. '3- t). 12,4 ______ _____ Si^idem quolibet anno 13 <f. elapfo a:quino£tia per vnam fere diem anticipabunt,vnde (aerum palcha feftaque mobilia ex decreto Saluatoris minime celebramus. Aequinodiii namque vernuntquod contingebat 25. Martii (ub Iulio Ca;lare, fandi ecclefia: patres il- 'D''onxtw-Jbs «/fcfcJud ftatuerunt inconcilio Niceno a1.eiufdem.Quorum decreta ad hanc vlquetempcfta- 'thSFH K" tcin (acrofandaobferuat ecclelia:quanquam nunc 1o.Martii luce celebretur . Angelo etenim domini nunciate lancitum eft,vt.facrum paftha celebretur luna 14.primi menfis,quem Martio dicarunt ecclefia: antiftites &aftrologi,quando (cilicetO per Arietis fignumprogr.editunnon autem fecundo ,qui immundorum di&us eft, dum icilicet Q Taurum permeat. Lunam i4.fiue 15.appellant, quando fit plenilunium :&luminaria O&)fe inuicem diametro intuitu cblpiciunt.Circaquamdiem recutiti fabbatarii fuum palcha celebrantmos autem die Dominica fequente,ne pafcha noftru cum Hebraica obftinatione coincidat. Eft enim illa Solis dies (acratifsitaa domino noftro Iefu Chrifto dicata, qui eft luxvera illuminas omnem hominem venientem in hunc mundum,velutiibl totum orbem filis fiilgcntifsimis radiis illuftrat .Sabbatarii praiterea ex Molis conftitutionc non celebrant pafcha die },nec die g,neque Ex incuria noftrorum patrum fiepenumerd nos lacrum palcha celebramus fecundo menfe,qui(vt diximus)immundis deputatus eft, & pnefertim quando palcha angelicum celebramus die 24.Aprilis :tunc enim contra patrum decreta 3 3 .dierum intercapedine illud /acrofanfta retardat ecclefia.. Vcriim enimuerd remota erroris caufii,& effe&us erroneus remouebitur. Si squinoftiiim vernum fummorum pontificum-atque Cadaris decreto ftatuatur 1o.die Martii. Gum hac tamen cautiuiicula,vtfemper elapfis 13(T.annis,Februario nulladies adiiciatur intercalaris, &qui deberet efle bifextilis annus,pfffuat communis feu ciuilis,annus tamen quartus ab illo vtpote 140. efficiatur bifextilis,&Februario de more dies intercalaris addatur,&ita fuccefsiue ad totidem alios armos 136.hoc eft,quando effluet annu$i7 2-.fit ciuilis non autem intercalaris. Exempli gratia quando voluentur anni (alutis ChriftiaiiEe 1660. 1796. 1513.2-. 2068. 2204. 234p.quidcbereriteftebifextiles ,effluant communes. Nihilo Iccius anni 1664.. 1800. 1.936. 2072.2208 .23 44.1abantur intercalares .Et ita quilibet anni 4.in'terlabentes adftatutos vfquc annos efficiantur bifextilesj hoc enim pa&o vix in decem millibus annorum per duos dies naturales ajquinodiafiue aiquidialia atque folftitia anticiparent. Amota igitur, erroris caufa, poft verni ajquinoctii diem immediate reperiatur vera,non autem media liminarium oppoiitiofquemadmodum ex noftris plsriquc (criplerunt) luna jfcilicet 15.feu mauis. 14.Demum die dominica illicet lequente^ex diuino praecepta poterimus verum pafcha noftrumfacratifsimum niueo celebrare lapillo. Quo duce reliqua fefta mobiliamoderantur. *3*- f. OTABELLA annua- Si quifpiam pcrfcrutari voluerit tempus annute conuerfionis B; rumconuerabfoluto primo anno poftquam puer venit in lucem,aut maius fcj “fionum. labente fecundo,fiue annus natalicius fuerit comunis atqj ci- ^*uilis,fiue intercalaris id eft bifextilis. Quod eregione anni i . comperies vtpote horas. 5.M.4.9.2. 16.-adiicito horis atque -frachohibus natalicii thematis aut cuiufcuq; libuerit alterius pncipii,& profiliet tepus coucrfionis anni 2.Sin 5.aut .2 1 . labentibus annis itidem fcire defideras, quod eregione anni 4.aut 20 comperies, deducito(vti titulus fiue literaM.admonet) ab tuis horis atque fra&ionibus nataliciis, &profiliet H. M.i.conuerfionis anni 5.volucntis,aut 21.& ita dcinceps.In annis autem intermediis quid fiitutandum fit,fequcntes Blanchini tabcll* edocebunt,quas hic etiam annectere libuit,quoniam in noftro opuiculo,quod poft tabulas dire&ionum Moteregienfis inferuit chalcographus,pleriquc numeri funt perperam imprelsi. Annuas conuerfiones per fequentes Blanchini tabellas fupputare. C:m annisillicetclapfis ingredere ptimamcolumnulam fi annus natalicius aut alterius exordii fuerit intercalaris fiue bifextilis. In 2.vero fi primus:& fic de exteris :Et horas atque frafiiones. dextrorfum compertas iuxta exigentiam tituli adde vel fubtrahe ab horis ac minutis tute genefeos(coaflumptis 24.horis fi oportucrit)produftum infinuabit horas &caru minutas portiones poft meridie in^quatas.Verum fi anni propofiti excefierint 40.prius negociarc cum 40 .dein cumreliduo vti nunc docuimus. Poftmodiim ingredere fecundam tari' 'J-f' bellam aquationis 8.fj?h<grte cum gradibus Q,in prima linea numcron1,& qua: reperiesj\ in angulo communi,duc inannoshios completos. Ecproduftum(vti titulus fuperne annqtatus infinuat)adiicito vel diducito ab horis inxquatis ,&illico emerget tempus «equatum in H. atque carum (rasionibus. Sed diem(fi non fueris vlquequaque hebes ingcnio)di£lo citius' - comperies apud ephemeridas feu aftrologicum ac cceleftc diariu .Ad illas horas ita copcrtas erigito Ichcma ccclicu,& quid illo anno confria fatorum fidera polliceantur, facile cnuciabis.- AnnijTTj in j l 1 : 4 IS 1045 |_ 4i 16 A1 Mj 8j1 1HM~i 1 2 1*|[8[_48J M|'T*j 5*1 4+lMI _3 _ _HI. 4°| M. j *+l 417 1 36\ IM i8|.1 c_i.il 1M 3243 1M >25 j 28 jM| 4°i 719l-M TABELLA annuarum conuerfionum 133 Poft bifcxtum anni Bifcxtilis |j 1z 13 Anni Hm“_J K| mj £j «m»• H*z' 1545 16 A545 iA545 i6A18 1 0 44 M z1 1 38 32 A1 1 38 32 A1z z Xz8 MIO ZIz8M 317 2-7 48 A6311zM632 xz M«32 11 M 404Z5«M042 54 MO+jr ssM042 !<f .M 5 5 6ZO A56 zo A56ZO A.8 53 40 M 61 0 55 3<5 A1 0 55 3A23 424 M23 4z4M 716 44 52 A7M8M725 8M72) 8M 81M51M_ii 25 52 Mii, 52 MX1552 M 9423 24 A423 24 A4»3 24 A19 3*36M 1 0 1 0 1z40 AIO 1z40 A347 ZO MIX 47 'zo M IlI6X56 A738 4M748 4M7s» 4M 1 z z848 M*84«Mz848 Mz 8 48 M 15340 z8 A340 z8 A-340 zS A10 19 3- M r49%9 44 A92p 44 A24 30 16 M24 30 16 M 151519 0A8+10M8410M84-2 0M 16 z5144 M*51 44 Mz44 M5144 M 17 z57 32 AZ57 32Az57 32 A21 2. z8 M x8846 +8 A84<7 4«A25 '3 1zM‘S 23 1zM 19 *4 364A923 ss M9I23 54 M923 56 M zo 334 40 M334 40 M3I34 40 M334 40 M z 1 zx43« Az2-4 35 A-'14136 Az145 24 M n8352 A8352 A58M25 5«8•M 23 *3538AIO 652 MIO52 MIO 652 M M•41736 M427 3(J M4'7 36M427 3« M M3140 A3140 A13140 A- zz z8flo M z6 7zo 5<r A7zo 5*A16 39 4M16 35 4M 2-7 13 10 1zAIO 45 48 M20 49 1+8 M' IO 49 48 .M z8 5032 M50(3 2M3o32M5632 M ZJ) 0+8 44 Ac48I44 A048 44 A23 x116 M 30 "6 3«0A638 0A7“°M27 zz 0M 31I-Z 27 16 A32 44 M3144 .M i| 3»l 44l:M .1 S2-.5 43 18 M543 z8 M514-3 ,8 M5143 z8]M| 330548 A0548 A0.5 48A23 54 M 34555 4A555 4A1845*M18 45«M 35*,1 1 H10 A•-I z- 254-0 MIZ540 M.« 1540 ~M 36Z624 M6Z624 M6*4 M6Z624 M 37 C378A0378M037 8'MO37 8M 3»1z8A5IZ 8A18 47 52 Mi8| 47 52 |M 39 I1MA1z36 M1Z3836 MsS 36M 40 79ZO M9ZO M’ 7 9 zo M_zl <) zo M Rm GRADVM horofcopifupputare. Afcenfionibus obliquis liorofcopi natalicii aut alterius thematis adiicitog. 87. M. 1f . quorum aceruus abieris g.3 6$>.{i oportuerit reperiatur in area tabula:. primi mobilis itib tuo finitore,&fuperne habebis fignum: in latere autem finiftro gradum qui.horolcopabit ano fequente.Eodem pa&o quotannis figillatim procedas. Conuerfiones menftruas perfgrutari. Diebus,horis ac M.annua conuerfionis addantur xSX.i 8 .Sc ftatim emerget tempus menftrua» conuerfionis immediati fequentis,in quo thema ccclicum erigere poteris,&vaticinari qnid illo menie confcia fatorum fidera polliceantur:Ghronocratorfiue dominus anni erit ctia primi menfis.Secundi autem menfiserit moderator dominus figni immedia&Uequentis,& fic de esceris 13.menfibus quos profedionales appellant. Dignofccre fignorum,gradus qui fingulis menfium diebus natorum fecptra tuentur. Cum diebus completis qui ab die conuerfionis annus effluxerunt ad diem vlque illiimin quo illud fcire defideras intra prima femjente tabella,&quod ex dire&o ipforum reperies fl dextrorfum adiunge gradibus ac Mrcuiulubecplanets aphetici.i.ilegialis.llle enim gradus f in quo terminabitur numerus erit gubernatorilla die, hofpitatorautc eius erit Chronocrator fiue dominus: verum fi congeries illa cxcefferit g30. diuidatur per 3o.&in quotiente emergent figna connumeranda aprincipio figni in quo erat tuus Apheta.In fecunda aute tabella fequeti aderut s.g.m.nec opus erit partiri gradus per3o.Sed fi quiipiam gradusfuperfuerit v.trobique erit gubernator illa dic,eius vero dominus Chronocrator. Itaque quibufli^ bet diebus %.hor. 3.M. 5a.contribuatur fignum vnum,yti tertia infinuat tabella. 1 wfib -! x i! i* ± is e j«S »1® h i * -! CANONES ANTIQVI. 137 -J» h\h</ Tempus dvere planetarum inueftigarc. «Onfidera diem propinquiorem, coniii&ioni,vel quo ?ftimas coru coniun&ionem fore * r<- \pn^*\ LJ)x'imiorem:& quxre vera loca corii ad meridie illius diei.Et fi loca illoru planctarum ^“'^coueniut in lignis,gradibus,minutis &fecudis,&c.tunceadc die celebrabitur coiu&io eoru.Si aut non coUeniunt,vt dixi,tunc fubtrahe motu minore Amaiore:& illud quod remanet,erit Iogitudo illius,cuius motus erat maior:quam logitudine ferua.Deindc inuenias motu cuiuflibet illoru planetarii in vno die illicet fequete, &fi amboplaneta: fint dire&i ,vel ambo retrogradi,tunc fubtrahe motu diei planeta: tardioris Amotu diei planeta: velocioris, et quod remalerit,erit fupatio,ferua ea.Qjofa&o reduc logitudine qu? eft interipfos ad ide genus,f.ad? vel 38cC.Sc fupatione ad illud ide genus. Quo fa&o diuidc longitudine pfuperatione,fipotes:& numerus quoties erunt dies. Et fi aliquid poft diuifione remaferit,multiplica illud per 60.& poftea diuidc per ide quod prius ,&numerus quoties erunt minuta dierii.Et quod poft diuifione remaferit,multiplica per 60.&diuide per ide quod prius ,& numerus quoties erut fecuda dieru.Quibus‘expeditis tepus quod inuenifti per diuifionem, adde tepori ad quod qUxfiuifti vera loca illoru planetaru :&hoc fi tunc illa coiunftio vera eft adhuc futura,hoc eft,fi planctaVardior pnecedit velocjore. Vel fubtrahe ab eode tepore,fi coiunftio vera eft pra:terita,ideft,fi plancta velocior prxccdituvdioic .Et tunc qiiod poli additione vel fubtra&ione^uenerit,erittepusc6iun£iionisver?.Aduertastame epin rctrogradatione eu plancta dicimus procedere,qui minus habet in fignis,gradibus &minuris .Si verd vnus eoru fuerit dire<ftus,& alter retrogradus,quod fsepifis cotingere poteft in coiunfiionibus Veneris &Mercurii cum tribus fupioribus:licet inter fc non pofsint hoc modoco iilgitqa quadofuntc6iun6H,?qIiter diftat ASole,& quodamodo ^qualiter ab augibus epicycloru fuoriutuc qu?re motu dirc£ti atqj retrogradi in vno dic poft tepus squationis.Quibus habitis iuge illos duos motus fimul,& pillud quod _pucnit,diuide JSgirudine, vtprius diftu eft. Et fi locus planet? retrogradi fuerit minor loco planct? dire£fi,pra:teriit illa coniun- <9io:tunc fubtrahe tepus quodp diuifione inuenifti Atepore ad quodqu?fiuifti vera loca illoru planetaru.Si vero planeta retrogradus fuerit pius in gradibus &minutis qdire<ftus,tuc coiunftio adhuc eft futura .Quare adde tepus quod exiuitp diuifione ad tepus quo quefiuiftivera loca illoru planetarii, &tunc quod poft additione vel fubtraftione ^uenerit,erit tepus ver? coiun&ionis.Si aut volueris multo pr?eifiiis fdre tepus coiunftionis vcr?>oportct te ad illud tepus adqdnuc inuenifti planetaru vera locarurfiis qu?rere,& fi inueneris eos in eode loco,fat ent:fin fecus,rurfiis negociare vt prius. Motu aut euiufcuq-, pianet? in vno dic inuenics,veluti fupra dbcuimus.Motil aut in vno minuto diei,vel in vna hora repiesinucniendo vera loca eius ad duo teporiin vnu minutu dica diltaua,aut pVna hora.Dna tus taliu erit motus eius in vno minuto diei,velin vna hora,fecundu quodopatus fueris. tiA. i»' TEMPVScoiun&ionis cuiuflibet planete cum qualibet ftellaru fixaru inuenire. '£^1^ SCias primo loeu ftell?: deinde veru loeu planet? ad tepus^ppinquu coiu&ioni p?ftimati ’*** yJ? onc:& videas diftantia,hoc eft,logitudine inter planeta &ftellam,cuius fuerit Iogitudo Tr it>fa nlanete vel ffellp fivp. Deinde fria»: mnrfi nlatierein vnodie.vel in vnomimito diei. '***'' M vel in vnahora.Nec cures de motu ftell? fix? in die,qamotiis cius infenfibilis eft in taparuo :rii:tepore.Deinde logitudine diuidc pmotu planeta: in die &c.fecudu quod opari volueris: Sc tepus quodp hac diuifione t)puenerit,modo difto in coiundionibus planetaru addas ad tepus ?ftimatu prius habitu,fi Iogitudo fuerit ftcll? fix?,& planeta direftus, vel fi Iogitudo fuerit pknet?,&ipfe retrogradus. Si vero Iogitudofuerit planet?,& ipfe dire£lus:vel fi fuerit ftell? fixE,& planeta retrbgradus,tepus qdhabitu eft pdiuifione fupradi£fa,fiibtrahat ur A tepore ?ftimato,& qd poft additione vel fubtra£fione_puenerit,erit tepus qu?fitu,vel tepus illi valdeppinqufbqd vt habeas pr?ciiii,reiteri'pluries fi oportet,donec veritas elucefcat.Scd Sin feque- in liquentibus tabellis anni pberique laluatoris exprimutur,in quibus celebrat^ funt}fientq; coniundiones trium fuoerkmimfecundum medios motus. CONIVNCTIONES dTj ^poft Chrifti incarnationem fupputata: fecundum medios motus. dfi 7/J I cck tflcc^ \tf JO|-B S Coniun&iones d15 %poft Chrifti incarnationem fupputatx fecundum medios motus. 155 f) TP Anni me. di. 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Itf cC|4? tflcCjg £>!+*<!© 4*1 Conitut&icmes o',Tj/pi poft' Clirijfii incarnationem fupputat?fecundum medios motus Anui me.]D_|H_ &_]Tj 1443 10 81hJ111 1 1463 817 ig| 34|48[ I483 s»8 7I34 U4 j|5lz (34l° 132.3 '3 ITT >3 33 38 | *343 '112-SI4|33_|J21 ‘S 53I°| 4 1S. 83|| io|.i4| 10)3 2124 41111 |sIfliones 4I5I2||m |i | 113 311 73 1 | 1«*J> l8 |3|s 8 | 434 4874 Hl8 30J^|4M17 _|_ 734 24 7;130T3T ijliSkgl 2.34 o76 i$1 3|$ 6p$| 313 3 3^’.77 ~34 33 2-3 354 4)33 xi| 78 z| 36-3^5tf- 11 2-3 913148 79 13834494851! 0I3.2 24 80 140 3543 16 1 1 1 <f T> c?_ Pofl Chriftum iiixta medios motus fupputat$ IConiun- Anni []me.|D H| m j1|diones o]] 2[714 o24 Radix 60 151517 41 24 30 1,2(0 j823 21 14 24 60 18 11q2x£14 90 241 312448 24 120 301 1'5.21 830 24 150 36:1 1| 92.9 .12 12 14 180 422 jr l:6i554 24 210 482 I417 19 35 24 140, 542 I725 23 18 14 170 60 2II43 O14 .300 6.6 y I2x3642 24 330 723 j521 101424 360 •nes 43| 211m2 iix 00 116351 30 06 8144 16 6o012145(75331 90 0182x51 246 120 o14 28 47 12x 150 03035 42 11 ii? 180 o 36 41 37 3031 210 o42 49 31 39 46 240 o48 5(7 27 49 1 170 01553225816 300 x.| 11018 73J 17°lf~7 *7U$ T?|^6" 360 x J1324I 826 1 783 829I14 624 390 119 31 335 1^ 844 71 17 4** M42;0 . 1M37[5_ 844 J_J ||~3li7|2i 30 24 .450 113 1 [44| 5 3 53'\6'537l> 110 JLilizI jJ x_2 x-4 ,48°113713 1149,3 1555 *7*9 lliol 4] 4I54 24 15x0 1143 153I44 1216 ‘01243381 II X[I 2f 813624I 540 x15o|5139 21 31 .030 946 9°4 31711 3°*4 964 6| 27) XIl|l4j 1024U x014] 454! 24 1 1085 Hxfnp 83<t| 2.4I 1145-|| 42. 311118 24 x205 1| 8| o| 160(24! 1165 1 119|i9 42 114 1 X326 2-JX9 1 2- 3 24 24I d8« fs PTl pnj 1446 9161648124! X56 12 34hc 46 2|2. |1i? |2-9 [48 1 1 2] 8|26|'24|49|l6 —1 L 5-1 3 i?) fjjj l_\ _ 2|2or4o|i 57)46 2. | 2.<> [47 1 I-o| X7] I 1I391149 8 5I41 xo no|)C 3I45 83a51Hi i|48634 44I331 S| si| SUS }6 X 3lS4l 3383814 1I57I102.0/5, ° ° o12 i*r 2DD *l£JJL 111efg|_7ji s]j^ I1I33 45 18I1 oa> Ii[;i nig|j 4& [ 1837 SSlss 0 [344J13 0 143 m33 8llP 30I5S1(3 au 31822:038^ 33 3 481s13 m 3|(3 '4 18 .8m 4|i° 4°|3 833^ 43.8 443 38 q: 443 31 34 13 3° s1ss sFsp 3i°Mn (3 = :3 3 7|si 10I38 X 33 3 1 7 xgli 3[X 0I243 38] 8y 030 94^153 V °|47 3353 38w 1524I23 IT 122 2813] 8ii 'I57 20 30)3 8$ 21446 39I13 Q 141 Coniun&iones dT5 %poft Chrifti incarnationem fiippu tat? fecundum medios morus. | Coniun-|| <f f? c? Anni me. D H rii Tctiones 5£rl* «'1 8”11* M 1507 '024 1 0 30 2-4 75°l 254 5Id 16 13» 1i48 su, M.tf 73. ’-3 J4I22.4 78°|23S .1035 3' z4-9 3» 5« 53.k 1627 Ll LiZ ?4| 14__ 8.oj 245 755 I44 4/1 137ad. 38^ d"5 d* In annis expanfis. |Coniun- (]" Anni |jme. DHmactiones [i 3£m**Um3' 2- 1 03ao 71a10 0 1a23 5°18 0 2-4 34 52- 27 y 410did M48 •a 002-4 z740 37 045 *44 35 y f0IO 1a11 03003*4i30 55 I344 3652XE 8II 0138ac, 3« 40048 55 a114 38 19 29 10 tfp 1 0 1027 43« 48 501191 1 52•a 54 2 1 2-7 fi 1z010 044 14 d 0 123 2’3 152 .2 2-7 29 23 45 »4 023 ao 5134 7012-5 34 5Z5•2- 52- 4d1 id 1<ad id 59 1a 8 0 137 5°42-28 316' 38 58 10 18 030 r3da49015°432-4d342 13\s 037 221 zo | 129H0 IO 0 a a 18 2-3 54548I41 55 £ -uI1d5a1m1 1 0a24 3232-3 43°2, 313 51a¥ i41 19Xa8 48 1a0aeff +« 342- 454 S53 1730 > 1 1ia ai 3« 0 13 0a3859 54 515 33 19 47 28 j11517 43 3« 14 0a5123 44 IS _544 81a5X 30 IS 35°48 M033'2-7 34 37 ' •0843 412 r a a 1S> ,5« a414 0 325 42 24 5« 033 27 5«40 T 34 1lad 1 sI534 17 0317 5525 24 057 52+8 57 y 3<f a*I2'5 1a18 0 343 9533 122 z741 25 xr ' 38z41“ ao 2415 035Z2a55 52147 a33 32- tfp 40 2- 71 1 8 28 0ao 04434 44 1 0 aII 37 2-5 5°a- 4I | .aI.I 435 1a a 104id 5°3da8a3«1a18 7_kp 44 aH10 4a48 aa 0425 4ad 47 3047 10 2-5F2P 4<f z18 1 S|s° r° 230441 18 27 532- 5aa a4a|np 48 zai 1. 2 |57j3^z40453 32- 72-4 345 5«55 °FV 5°za4a 3 4I4S m1 05545 57 4242'4 3-47 174 51z2.7 29a4ad o527 59 1 48439 39 35l*> 54 30 ! 15ip 3d2- 7; '0530 38 19 5342 3152-5« 5« 332-7 ag 054a2-7 28 3«528 Id 2-4 IO 5«3 1 1 7I34 |a 4ap 1 0554 42 .8 5«552-51id 17 )c do 31 1 13|4a 1030 0 d d55 o'5 027 ad 845 r S„ iii - M4 vt ad fenfum in tabellis annorum expanforum videtur. Vbicunq; autem litera .b. in tabella annorum expanforum inuenitur pofitum, annum fore bifextilem defignat :annus vero fequcns primus poft bifextilem intclligitur :deinde fecundus, deinde tertius, &fic confequenrer, vt in tabellis ipfis annorum expanforum, ficuti &in cateris intuenti eas apparet manifeftifsime.{]Ti-atcrca non difplicebit intclligere non abfque caufa tabulas temporii &erarft tibulas motuum ancecedcre .Tepus enim vtiapud Ariftotelcm quarto phyficorum legimus, eft menfura motus primi mobilis .Ciim igitur motum quempiam cceleftiu intclligere delideramus ,neccfluria eft nobis temporum pracognitio ex tabulis temporum, vt cognita temporis dimeniionc motum correfpondcntcm fibi deprehendamus ex tabulis ipforum motuum. {[Pratcrca Aftronomi priores motus corporum cceleftium diligcntilsimis cofidcrationibus obferuantes,eofde alio &alio tepore,teporibus .f.fub diuerfis regum fiue principum diuerfarum nationum pofterioribus defcripferunt. Q_ua: quidem item nationes diuerfam quantitatem anni atque principium varium faciunt :annorum nanque alii Romani fiue Solares :alii Arabum fiue Lunares: &de fblaribus alii bifextiles,alii non bifextiles. Et dc bifextilibus,alii incipiunt 4primo anno poli bifextum :quidam in fecundo, &quidam in tertio:& quidam aIanuano incipiunt: alii aute in aliis menfibus. Ea de re igitur vt tabularum iftarum do&rina fit communis omnibus,diuerfa regum &principia era: ,&annorum quantitates atq-, initia in iftis tabulis erarum cofcripta inueniuntur. Quse in expolitione tabularii earunde liquido patuit.Et tituli earu cuilibet no craflo ingenio eas intacti lucidifsime commonArant. {[Ceterum non incommode &hoc quidem eft hic notadum,q> in temporum diftiniftione,qua vulgus anis, menfibus, &diebus achoris peragit, ad vfum tabularum iftarum AIfonfi,vt diuifio temporum diuifioni motuum correfpondeat, incedimus modo phyfico,per numerum.f.fcxagenarium.Hacq; via incedimus duplici, colligendo .f.& fragendo.Colligimus nanque dies ab vno vfijue ad fexagintaj& vocamus dies.Prima :&cum colle&a fuerint 60 .prima,ponimus pro eis vnitatem,&vocantur illa qu$ ibicolIiguntur,Secunda:& cum proucnerint tfo.fecundajpro eis ponimus iterum vnitatem , &vocamus Tertia :&cum dc illis colligimus vfquead fexaginta, pro illis etiam ponimus vnitatem,&vocantur illa Quarta. Dicatur ergo brcuiter quod dies vocatur prima,& <To. prima faciunt vnum fecundum,quod dieb.6o.squiualet, &60 .(ecuda vnum tertium valet, quoddiebus. 36"oo ijquiualet qui fere decem funt anni Romani:&6o.tertia, vnum conflituunt quartum,quod diebus zi(>ooo.aquipol!et ,qui annos fere 6oo. Romanos efiprehendunt. Et vitra quarta non progredimur noftro euo,cum multo plures eflent anni qua indigemus antequam fexaginta quarta complerentur .Eflentenim plus quam 36000. anni. Q^uae quide prima,fecunda,tertia,&quarta,ita in ordine fc habent, vt femper maior fumiru &prior in tempore prius &verfus Aniftrum inferibatur more Arabum,minorque &pofterior fecundario &verfus dextrumlocetur in numerorum textu .{[Frangendo vero tempus iimilitcr per fexagenariam incedimus diuifionem :dfuidimus nanque dies (quos vulgus horis z4. diftinguit)per fexaginta particulas aquales ,quas vocamus minuta dierum: &quodlibct minutum in 60. Secunda, &quodlibet fecundum in 6o.Tertia: Sc itaconfcquentcrvfqiie ad quarta,quinta, Iexta,feptima,& oftaua,&c.agere liceret, diminuendo fi videretur .Temporum autem huiufmodi diuifio eft multum conueniens adinue niendum motus cceleftes,ciim diftinftio motuum(vti moxfubfequeter patebit)fit per 60. Statimenim cumiciotp aliquis planetarum moneatur in die per vnum g.fcioquod in 60. diebus monetur per vnum Agnum,quodvalet tfo.g :&in vno minuto diei,quod eftfexagefima particula diei,mouetur per vnumminutum ,quod eft particula fexagefima gradus: &ita de aliis pariter ell intelligendum .Fra&io autem hac temporis,vti iam diximus,ex tabellis tabellis conucrfionis horarum &minutoru &c.in minuta diei, &c.& ccontrari6,&c. facillime intelligetur. Sunt enim duse tabella: quas tituli carum oftendent :quaru dilpofitio hsc eft. Tabellaru iftarfi prima in duas tabellas particulares diuiditur. Primainfcruit couerfioni horarii tantu in minuta diei. Secuda couerfioni minutoru,fecudoru& tertiorum &quartorum in minuta &fecunda &tertia &quarta diei indifferenter:vt in fua patebit propofitione emutatur enim ibi denominatiofublcriptionis:vt fi prima linea fit minuta hora:, in proxima lineae direftofunt minuta dierum :fi fecunda, proxima linea fimt fecunda,& fiede aliis. Huius rei ratio cft, quia ficut fe habet minutu horqad minutu diei, ita fe het lecundu hora: adfccfmdici &c. Secudatabula inferuit couerfioni minutoru,lecundoru, tertiorum, &quartorum &c. dici in horas &minuta Sc fecunda, &tertia, &quarta Scc. ratione qua fupra.Nccefsitas primq tabcllq fuic,vc cognitis horis aqualibus &minutis &c.traia£tispoft aliquem diem compIctum,quJe per operationes inftrumentorum vel per horologium Iciuntur, pollemus motus eis correlpondentes per illas tabulas inuenirejcum dies naturalis vd diftum eft, hic non in horas,led in minuta dierum diftinguatur .Secunda: autem tabella; .f.conuerfionis minutorum diei &c.in horas &minuta &c.necefsitas fuit ,vt cognita aliquaconiun&ione vel eclipfi Sc huiulmodi, &hoc per tabulas illas ,in quibus operamur per minuta dierum,&non per horas, ficut di&uni eft in procedentibus ,Iciremus horas & minuta horarum &c. minutis dierum &fecundis &c. oquiualentia ,vt tempus illud per inftrumenta,quoper horas diftin&afunt,potiemus,fi opus efletjobferuarc &c.Cl.Diftinclio autem motuum ccelcftium non difsimili fit via qua in temporc.Gradus nanque qui eft pars fexagefima ligni phyfici,quorum fcxfaciunt circulum vel reuolutionem, vel trigefima pars figni communis ,quorum duodecim faciunt circulum fiue reuolutionem ,dicitur hoc in lo coX.in colle&ione motus integrum. Igitur ciimcollecti fuerint. 60 . gradus,ponitur pro eis vnum fignuin phyficum in illis tabulis frequentius: licet in nonnullis tabulis hic infertis, II 3o.gradus colliguntur, pro eis ponatur vnum lignum commune,vti patebit operanti. In fra&ione autem motus diuiditur g. in 60. m.& minutumin tfo.i.&fecundumindo.^., 8c tertiumin t>o.4'.& italilibuerit vitra modo illo quo fit intempore. {[Ratioautem illius,cur Aftronomi operationes luas vtplurimum lexagenaiio numero perfici ut,eft illa. Tepus enim &motus cceleftes funtdc numero continuorum. Continuum autem licet potcll fulcipere diuilionem quantamcunque (eft enim diuifibile in femper diuilibilia) tamen quia nullus^un^rus eft itaaptus ad diuilionemvt fexaginta (diuiditur enimin duas partcsAvtin t£r xo.diuiditur imquatuor partes xvt in quater i5.diuiditur in quinque partes, vt in quinquies 1%. diuiditur in fex partes,vt infexies xo.& ita cofequetcr &c.ferito ergo Aftronomi calculantes in tabulis,fuas operationes numero fexagenario frequentius perficiunt. CVltimd bic non cft ignorandum,quod Era eft temporis,dignitatis,honoc ris vel memori» gratia,inchoati ab aliquo quo regum liu eprincipum digno memoriavfquc: in aliud confiderationis fiue propofitu.m tempus commoda connumeratio. Empus igitur quodlibct,hoc eft,numer.um annorum, menfium, atque dierum aprincipio alicui* era; notsincipientiu tranla&oru ad 4.5.1. &~. prabulas ad hocfaftas reducere, fiue eram aliqua conftituere. CHnCra ergo cu numero annorum collc&orum in tabulas deferuientes illiers/cdm quodpotes videre ptitulos tabularu. Et fi prsecile poteris numeros illoru anoru inucnirc,:uenics in diredo 43I&1illis anis expolientia; Si vero noinucneris peife, accipe nucru mino- HH iii rem re jppinquiore,& 47 1 Sc Tqua inuenies in direi9:o,lcribe extra ad parte eode ordine quo' funt. Deinde refiduum annorfi vel minorem propinquiore qu$rc vt prius in eifde tabellis: Sc 4j' t&Tibi inuenta fcribc extra fub aliis quodlibct fub fuo genere.f4.fub quartis, 5. iub tertiis 8cc.8c iteru intra cum refiduo,fi fit refiduii,intrando in tabulas tam annoru colledorum qexpanforu quotiens oportuerit.Et fimiliter cu menfibus cbpleris oparc in tabella menfiu fuperioru iiue priorufi annus fuerit cois vel no bifextili$,fiuc inferioru vel pofteriorum fi fuerit bi/extilis lp fublcribendo ex fub aliis quod inucnicsin diredo,quodlibct fub fuo genere,quoufq; totum numeru annoru &melium tolles. Si aut reftant aliq diefs de menfe imperfe&o ,quia ipfifunt prima,fcribc eos fub aliis primis.Qro fa&o aggre» ga omnia ad inuiccm,incipiendo aprimis. Et fi ex aggregatione iftarum ad inuice excrefcunt CTo.adde vnitate in ordine fccundoru.Eodem moli ex aggregatione lecundoru ad inuiccm excrcfcunt 6o.adde fimiliter pro illis vnitatem in ordine tertioru. Et etiamfi aggregatione tertioru ad inuiccm excrcfcunt 60.adde pro illis vnitatem in ordine quartorum: refidua vero fint in locis propriisrquo fado 43 iSc i' quse in toto numero annoru, menfiu &dierum propofitorum continebatur ,tibi prouenient:& era quam volebas eftconftituta. CEt vt res ha: facilius capiatur,vtcmur exeplo: ponatur q> cupiamus reducere annos,mefes Sc dies qui tranfiucrint atempore era: Chrifti nota: vlque ad annu propofitum fiue currente. 1491.die io .Iunii.Tntrabo igitur cu numero annoru propofitoru coplcto.f. 1491. in tabulam propria comune annis Chrifti :fed non inucnio in linea numeri annorum colle&orii 149 1.fimul,fed bene inuenio 1000.&indire&o cius inuenio 4. x.5.41 .z.iyS, 3o.qux lcribo extra ad parte,fccfm ordinem eorum quo ponetur: Sc remanent anni 491« quos itenim in eade tabella annorum collc&oru qu£ero,& cos non inueniopr^cile,fed bene inuenio 40o.annos,& in dirc&oeoruinuenio4.o.3.4o.£.3 f.T.o.qu$ lcribo extra lubaliis quodlibct fiib fuo genere ,videlicet 4fub quartis 8cc.Sc remanet anni. 91.quos iteru in eademtabella anoru colle&orum qu^ro,& cos iterum non inuenio prtecile: led bene inuenio numeru propinquiore minorc.f.8 o.& in eoru direfto inuenio 4.0.5. 8.£.7.i\o.quos iteru feribo extra fub aliis quodlibct fub fuo genere &c.vt fupra,& reftant anni,qui non inuenientur in tabella eadem annoru colIe&orum,cum illa non habeat ita paruum numerum: Incipitenima 40.Intro igitur inlecundam tabella,qua: deferuit annis expanfis Chrifti:& inueniointentu.f.anos 11.dcindirefto eorum inuenio 3.1 .i‘ .6\i'. J7.qute iterum fub aliis extra lcribo quodlibet fub fuo genere &c.Sed fi forte non inuenirem propofitu ita prxcife: vt puta fi refiduu anorumeum quo intrare in hanc tabellam annoru expanlbrum,elfent an- ni i(>.intrarem primo cumannis minoribus propinquioribus.f. 2.0. &quod in dire&o eoru inueniretur,fcribere iteru extra fub aliis &c. Deinde cu refiduis 5.anis iterum intrare in eandem tabellam annoruexpanforum:& quod in dire&o eorum inueniretur,lcribere limiliter extra vt fupra.Sed redeamus ad eram propofita noftram :vbi remanent ex pradi&is annis expanfis menfes 5; .quos quiaeft annus bifextiIis,qu?ro in tabella inferiori menfium Chrifti, &eft Maius copietus: Sc in dirc&oeius inuenio i.z.7.^z. qua fimiliter feribara lub aliis &c.vtlupra.Et vltimo refiduifunt dies ao.qui quia fiint prima,eos lcribo fub primis,&deinde omnia ifta aggrego ad inuicem quodlibet adfuum genus fecundiim modum fupra didum Scc.Sc numerus quartorum,tertiorum,fecundorum &primorum,qui prouenerit, cft numerus quemvolebamus,feram anni currentis 1491. die ao.Iuniireduda: ita videlicet 4.2. .5.3 1.£. 19.T. 1jj.Quaeoia in opatione luppofita cernere liqdilsime poteris. Numerus annoru 1491. die ao.Iunii currcntiu. Numerus annorum pcrfe&orum 1491. Propo- Proj ofiuc/eeunda. B^.1 RAE alicui9ignota quarta,tertia,fecunda &prima aprincipio tefju alicuius era; ex erisiniftis tabulis poficis tranfa&avel incipicntia per aliqua aliam era cognita inuenire. {[Cognitis q“rtis,tertiis,fecudis & primis aprkipio alicuius era: nota: &propo-l fitte per primam fcilicet procedentempropo-J fitionem: tunc ex tabula differentiarum vniusl regni ad aliud,fcias differentiam inter eram cognitam &incognitam: aut econuerfi,videlicet quod 45t&Tfint inter eram tibi notam &aliamignotam,quam differetiam ferua. Deinde fcies etiam vtrum era cognita procedat eram incognitam,aut cconuerfo. Quo cognito adde differetiam.f. 45 ?&7qua: funt inter duas eras ad 4T i‘ &Tqute habes,fi procedat era ignota:velfubtrahe eandem fi fubfequatur. Et numerus poft augmentum vel diminutionem proueniens offendit 45' 1&Taprincipio illius ero incognito pertranfita vfq$ adtepus confiderationis tuo, vel tempus propofitum :verbi gratia.Volo ero ignoto .f.a tepore diluuii vfque modo quarta,tertia &c. fcire per quarta ,tertia &c. tranfafta atempore era: Chrifti vfque in tempus profens.f.ad vigefimum diem Iunii anni currentis 1491. quo mihi funt nota per propofitione primam.f.procedentem proximo: &funt. 4.1. 5. 3r. i. 19.i'. 19.Tunc videbo in tabula differentiarum &c. quot 451&~fiint inter diluuium &Chriftum: &inuenio 4.$.;.i4.5.4S.~.39-quo addam ad illam quam habui, quia diluuium procefsic Chriftum :&proucniunt 4.7.5.46.2. i.T. 58.&eft propofitum. Propofitio tertia. RAE alicuius quartis,tertiis,fecundis &primis cognitis,numerum airnoru,.- menfium &dierum in eis contentorum inuenire :&eft conuerfum primo propofitioms.Si volucris hoc, intra cum numero quartorum &c.a principioalicuius ero pertranfitorum in tabulam propriam illi ero, quo tibi per titulos patebit,videlicet qu^re eum numeruminquatuor ordinibus numerorum fequentibus ordinetn primiun.f.annorum colleftoru. Et fi eum numerum poteris procife inuenire,annos quos inueneris in direfto feriptos in primo ordine numerorum, funt anniquos quiris corrcfpondentcs: fi autem ea procife non inueneris,tunc quore etiam in eade tabella numerum minorem propinquiorem, &numerum annorum in direfto inuentu extra feribe. Pofteailla 45£&~quorum numerus erat minor qnumerus illorum cum quibus debebas intrare, fubtrahe ab illis,&cum refiduo,vel cum minori propinquiori intra iterum tabellam eandem, vel annorum expanfbnim,in quibus poteris illum numeru vel minorem propinquiorem inuenire,&femper numerum annoru in direfto inuentorum feribe extra fub aliis prius feriptis. Deinde femper cum refiduo totiens intra tam in tabellas annorum colleftorum quam cxpanlorum <5£ etiam menfium,femper fubtrahendo vt prius. Et annos &menfes quos in direfto eorum inueneris,fub aliis annis feribe,quoufqj nihil fit rcfidui de propofitis quartis,tertiis,fecundis, &primis: velfaltem fi fitrefiduum:& fit ita parum quod nonpofsit complere menfemfcquentem,tunc illud refiduum erit dies menfis injcompleti fcquentis menfes quos per operationem inuenifti,vclerit dies primi menfis nondun* zf8 Vw dum compleri,fi nullum menrem habuifti :Sc quod prouenit ,eft propofitum .Sciendum quod tamen in iftapropofitionc &in procedenti, q> li annus incompletus fuerit communis vel non bifextilis,oportette intrare in tabellam menfium,ve! fuperiorem, vel priorem: Sc fi fuerit bifextilis, intra in tabellam menfium inferiorem vel pofteriorem. Sic enim menfes in tabellis fuis duplici pofitione(ratione opificii cogente) intuenti eas fe offerent. {[Huius rei hoc vide exemplum.SJtcra: diluuii numerus reducendus in annos,Sc menfes Chrifti Scc. ifte 4.7-1.46' i’ .1 .T.j S. Sed quiaqu^redo iftum numerum in tabulapropria.f.Chrifti in quatuor ordinibus numerorum poft lineam numeri annorum cum prscifc noninuenio,accipio igitur numerum minore propinquiorem ei,hunc videlicet 4.6.5.45 .z^o.r.o.cuius annos in direfto fibi corrcfpondentes feribo extra,videlicet 4000.Refiduum ex fubtradis One minoris amaiori numeroruiam habitoru proueniens cft ifte,videlicet 4. 1J.o.S. 11.i\ 58 .Sed querendo in tabula iftum numerum cu iterum non inuenio prsecife ,accipio ergo iteru numerujppinquiorc,hunc videlicet 4.0.?. 50.I.43 .“.45 .Cuius Snosin dirc&o fibi correfpondentes iterum extra notabo,videlicet 500: refiduum quommiterum ex fubtraftionc minoris Scc. proueniens eft hoc,videlicet f.p.z.i 8..T. 13.Sed querendo item non inuenio eum vt s. numerus minor propinquior eft ifte 3.8 ?. 7.7.0.cuius anni correfpondetes funt otto.Refiduum iteru modo quo sproueniens eft If.5 .1.z .zo.f .13.Qrod querendo, quia non inuenio id in tabula annoru colleftorum, fedin tabella annorum expanforum, non tamen praxife inuenio ,idcirco accipio iterum numeru propinquiorem minore,hunc videlicet 5. 1.z. 19.7. 8.cuius annos corrcfpondcntesiterum noto extra, videlicet 13.Refiduum vltimo ex his fubtrahendo proueniens ,quia querendo ipfum non inue- . nio in vtrifque tabellis,inuenio id in tabella menfium inferiorum ,quia annus eft bifextilis, fed non prateife .Minor igitur &propinquior eft ifte,videlicet I.z.7. 5.cui correfpondent menfes 4. &ex fubtra&ionc iftorum vltimo duorum reftant 5.qui funt dies. Q_ui anni ita extra feripti fimul additi erunt illi qui aquartis,tertiis Scc. illius era: continebantur, numero. f. 45£>3 .menfes 4.dies 5. &hoeeftpropofitu.CTeriftam propofitionem &duas procedentes ero,cuiufcunq; volueris,poteris habere notidam,dum tamen aliqua ex eris htepofitis fit tibi nota.Potes enim,verbi gratia,cognofcerep prima propofitione 431&“tranf- a&a atempore Chrifti vfquein tempus pr^fens. Per tertiam vero propofitionem 45*&f Atempore diluuii vfque ad tempus Chrifti.Et per pnefentem propofitionem poteris feire annos atempore diluuii vfque in pr^fens tempus :&eft idem in omnibus aliis eris &c. Tabula * {[Tabula temporum,hoc eft, erarum differentis, fiuc differentiarum vnius regni ad aliud,&nomina regum atque cuiufiibet er? cognita:. 149 .Anni Dies “LdjLl 7TT1« — U1i Rom. iupf. L1 _ : 4353 »Pi?8.JL °5 L7! 11 4°| 38Era; diluuii vniuerfalis,& er? Alfonfi regis Dr a 96 312 44|i 5Era; Nabuchodonofor,&era; Alfonfi regis Dr a 074 15«? 101 __i 35?[45 LJ Era; Philippi pfis Alex.& er» Alfofi regis Dfa 144 38)31 44 Er» Alexandri magni,&er» Alfofi regis Dfa “P »5*¥_£ IO _57 i£ Er? incarnationis Chriffi &er? Alfon.regis Dfa ii8p J45?It *Tr» Qefaris &er» Alfonfi regis Dfa 967 2-77 e1Ia Er» Diocletiani &era: Alfonfi regis Dfa -619 _312-n3! 34 14 Er» Alhigera.i.Arabu &er» Alfofi regis Dfa 619 35 »r1334 °Era: Iefdagert regis Perfaru Sc cr? Alto.reg. Dfa te_l r' j±n 10 3oEra: diluuii &era: nabuchodonofor Dfa 1778 17?° 1.69 ¥±i|SS 33 Er» diluuii &er» Philippi Dfa ii 7L443 Q| 34. Er» diluuii &er» Alexandri magni. Dfa — i _)06} 3»* 5io|;i|i 5Er» diluuii &er» C?faris Dfa 3101 3»5?*-1 i4|4^[3p) Er» diluuii &er» incarnationis 'Dfa 33 SS154 343 olo Er» diluuii &er? Diocletiani Dfa 37r3*j <?9 _Lil #j't Er» diluuii &er» Arabum Dfa 3733 110 18J4. 38Er» diluuii &er» Perfarum Dfa tfeWhyfUl- 1 413 is. L04*« 20 Er» Nabuchodonofor &er» Philippi Dfa "433 11 8 44 nEr» nabuchodonofor &er» Alexiidrimag. Dfa 708 305?_i_Lii 33 Er» nabuchodonofor &er» Csfaris Dfa 746 3io ±h iS.| 4£i(T Er» nabuchodonofor &er» incarnationis Dfa %-f SJrv-L 0 ! O,8; 44|33 Er» nabuchodonofor &cr» Diocletiani Dfa 13 68 »35?)- LLi i8|so 1jEr» nabuchodonofor &er» Arabum Dfa 1378 XII 2<f |Eree nabuchodonofor &era; Perfamm Dfa — - II *?-tf- #9S*f *»7'- -* /X? • *ffy ##7-3~‘ z5° Anni Dies jE4l JL 1i' Roni fupfl. 7^ __ »3H i 01iiJ i1 jEra: Philippi &era: Alexandri magni Dria :185 450 1 0z8 «n44LEr* Philippi &er* Casfaris Drja 3£351 +1031+7]61Er* Philippi &er* incarnationis Dria ffOff Z5I -133|Si Er* Philippi &er* Diocletiani Dria *214 izS. _35 5°! 4- Er* Philippi &er* Arabum Dria *‘?44 Z°£ 135 51 51Er* Philippi &er* Perfarum Dria 1rc_ J l73 J> 2-027 43 15Er* Alexandri magni &er* C*faris Dria 31 1 53 *°3*13445 Er* Alexadri magni &er* incarnationis Dria 554 333 °JF 31Er* Alexandri magni &er* Diocletiani Dria 532-187 r134JA& zo Er* Alexandri magni &er* Arabum Dria .941M* 135 38 44 Er* Alexandri magni &er* Perfarum Dria 111 38 1*°35' zo Er* C*faris &er^ incarnationis Dria 31 1 141 03138 6Er* C*faris &er* Diocletiani Dria :*6ff 7X44 l| s54 ^5 Er*C*faris &cr* Arabum Dria -*Z4*- 16-7 »| 755 19Er* Csfaris &er* Perfarum Dria :|7T 183 141 *018 45 4<j| Er* incarnationis &er* Diocletiani Dria .fili *-iLl 13 3 351Er* incarnationis &er* Arabum Dria 53i«7 .+ 3jpjEr* incarnationis &er* Perfarum Dria [L1 z034 16 4P Er* Diocl etiam &er* Arabum Dria j347 Zj>Z 035 '7 3Er* Diocletiani &er* Perfarum Dra 11 1 n 337 .0O14 Er* Arabum &er* Perfarum Dria _J1j .11illi ,s8i ,.ff7 Li 33 !** 7[Er* Adaqi &er* diluuii Dria /1 \6o 13EJf *i±j -pilttut]' c*n>W. M1 CTabula ad inueniendum omnes cras bifcxciles ,&ad extrahendum vnam eram incognitam ex altera cognita. CAnni Romani colle- |£Anni Rogiam tommunw <£Menfes Romani commun.h.t. &i cocs ad annos era: cxpanfi^cfannos craeincarnes ad annos era: Chrifti ***-.? •+ ff- Chrifti, Alexandri,Casnationis Chrifti &Alfonfi. &Ctelaris. (ariSjDioclctiani &Al- Menfes Nonbilcxtifonli. les. Anni 4s2Anni 5*4n '~Nola &nue. UL 5 ' dies 4°043i£ 0551sIanua. 1103131 60 *.S51 1°12 10 30Fcbr. 205P5P So 0S70r_ 30l8 1S45Martius. 3 I30 50 IOO 010 84! j+014 21 0Aprilis. 420120 100 0 20 73°~3 s03°261i.l Maius. 5231 1 51 300 03°26 S03<f 31:3“l Iun. 5.| 31181 400 040 35 0704’- is±jlulius. 7I 331212 500 05°43 +58b048 4*3Augu. 8 . 43243 600 Oj* 3£t054 47 1Septeb. 9433 173 700 II-'5 .o10si j3LO&ob. 10 54304 800 1M1 0 0*» 1657 451 Noue. 1 1 534 334 .900 131 i845 11 b1*3 3ll Deceb. 1265J«S. 1000 -ii l73°J31IS> 8jMenfes |Bifextiles 2.000 3zz 55 0J4"l5P- 3°l Nola &nue. 2>dies 3000 5422 30 'S 131 is 4sl Ianu. 1 1 03«3i 4000 645 5°0‘eb>37 24 :=1 Fcbr. ».( 1060 5000 8*7 7)3° '7\43 2j? 1-| |Mart. 3) 15'fi tfooo IO 8+j| » ,8| *I4S34 _I01 | April. 4j1 11121 7000 1 1 3° 3°«» >| 5S 3 S4[1 Maius s1>31152 8000 '3 3'40 0_10 b11 145 ’Iun. 6131*182 [ulius. 71333 2! 3 Augu. 814|4244 Septeb. 914I34 274 Oftob. io| 153°5 lNoucb. 111|$|5 5 335 |Deceb.i 2] 1c63<rff II ii CTabulacommunis ad inucniendum omnes cras bifcxtiles,& ad extrahendumvnain incognitam ex altera cognita. f£Anni cxpanfi {[Menfcs Graecorum ad annos Alexandri era.* Claris ntagni regis ab oftobri incipientes. Menfes Non bifex- Biiexti- tiles les Anni 5l 1ii'. |Anni |5*w|Nomina PJ4“! 4dies rcj 653° 4*-1 08il+iL |TiTrim"19_° 31310i131 _L °H IO 45 b | 01 1 |o| Tifrim £*l >6t 11'6% 3bo|iS 16 cj3,8 i8 | is LRemiz T•4 SI 43* si J- ..4c l 14ii 1541°14 iI |3°| *‘,’Rcmiz i9i l3“3 1 13113 uso 10 3°:i i1°3° 18 |45 ISabath 131'5' 43* If2 6_o |363i 4;16b03f iiLil Adar ii181.Is 3185 4e.°|4» 01 7 1 042 37j 1S I Nifan 33* 2I2[333 “J i8°| +84a*5 1 s 1°4« 42|3°] Idar U3243 144144 1_£. _-illi 47 3° 151C54 47 (45 ! Haziram 4332-73 1434|>-74 10 _ll o:r<° bI’. 053 MThamuz ~S 43°4 l_5 .5 3°s 11 46584r- 6i81 151Abh 53533 55?83 3 8 !_Ll'3 3Hi >3 3|3°| Eyul 6558S186366 5_Uii£ 8113.h‘S S|45| 1Menies Aegyptiorum ac anosDiode- *4 '|M ‘3 J'4 b1 ,-5| '41 °| )tiani aTeptembri incipientes. Mb'14 iy4131 1 71 15i|Menies Non bifex- Bifexti l6_137 14| r6| 11471 i41301tiles. les. 171'1+3 1.9 1 1 1M+3l ls|4S Nomina n1 7|dies 1 1'dies 1 8 'I+? 34 |i8|b | 14P|3 S| o| jTuch 03° 3° °3° 30 ip 'Iss 40 1-7 1 1155|4°| 15 1 Bala 161 1«61 20 45 |20 1»1 '|4S|3“I |Hetur 3' 91 1 131|p 1 fHeybich * » 122 1*122 Thoba 233 53 2sIPI |Amihur 31.8, ' 31Sz .Barmaer 3r- i.a 3332!3 Barraioda 42P43H3 Bixbuoxh 4173 4I34 174 Zuba 53°3 si 4304 'p/XVJS *v)-3-9juf- | Abili 534 334 5la5 33 5 Mazre 851.3 85 '8 6 366 ^rsaapsr- I \\\ f>-*sy f£TabulTcommunis ad inueniendum omnes cras non bifextiles :&ad extrahendum quamlibet eram incognitam per aliam notam. CAnni communes collefti ad eram diluuii ; Nabuchodonofor: Philippi,&Regis Perfarum. CAnni expanfi coes ad eram diluuii :Nabuchodonofor: Philippi &Per farum. <£Menfcs Aegyptiorum quibus vtuntur in annis diluuii ;NabuchodonoionPhilippijd: iuperalmagcfti, afeptemb.incip. Annij 'r* anni 3r21 ]Nola &nucr9IPnDies' ... 4° 0 4322 06s\ PTwh ii 103°30 6c06 1ra *I&1Baba 2. |( 1060 8° 08 |4°| 3018 MAccor 31130 90 100 0 .0 S2o| 4014 IO Ayah +|r0120 200 0iO 16 4°l 5030 2Sohbi 51 z3°130 300 030 M°l. s034 3°l Mayr 6j30180 00 0 4C33 10 j7043 3S|Phenmmih 7) 330 no 500 0s° +o|80+s4°l Sarmorum 840240 600 105°°i 054 ±S| Machor 9143°270 .700 11 0 >s 2o| orO?o| Seufi 1 0 J50300 800 111 640 1 1cssl Afticha 1 1 I532 330 jJOO 31 M«1 11 1'3 0Mauzori 1 2 P5360 IOOO i4. 3} io| 13.1 'IPj 1 2000 +(: 40 14-IO fETabuIa menfium Perfarum. 3000 5410 cl>5! 131Ii 1] Nfoia &nuerus 1 '3 1Dies 4000 «1+5 33ac| 37 20 Fordimech iJ030 30 5000 si£T 5«40 1 'H 43 35 1 Ardaimecb 1 10 60 6000 io[ si 10 °[ <s| -49 3°Cardimcch 31 -30 90 7000 "M+J io| m| 35Zirmech 4113c120 8000 3l3=1e4°| 2o| 14°Mardary 51L33°150- pooo Mi *l 30 L 0Sarebemech 6113°l 180 IOOOO I(T| 53 1 53; -1 ili Mahramech7| 13130 210 IEbenmech 8 1 1_4 0240 Ydramech 91 143°| 27O Dimech 10JI50300 1Behmemeh 1 1 1ii3°[ 330 Jf, _ •=- J.. ! «itu**-****' | Numerus annoru colleftorum Alfonll regis. -tcra ex eris hic politis,id eft, cuiuflibet er® per annos er® Alfonli. -bum per annos Alton. ([Inueuo diem Iddagertper annos AUbnfi regis. l4iii£m | _i_| 45' -9I -4I RjJt 'I 11+Cl3 1 1»1 Tm4»fFI;4l 4° iMTfF 1*1 *Ih1°400 1x1431 2-g| °r I_+| Silii] l4^°1~M4i 3° 4! M_J7M144^047 3±_ 3°l 450 1 )T013-+1 3 60 i| 859 mi kH 1+7 31 ‘il. 4S0 'IsMsgImI 80 111 X 1°l 4S0 1513=1 °l 500 •8415*1 s| 100 11)13 i4S| 500 153 37148 ! 520 15=l 3sis 4luo 111543°. $20 155 3s>| 3°| 14°_ij!il 4'| 3s[ *°f+?l 7--4[ 140 11176M540 157 4' 1'SI <^60 160 ijijj 80sH >55 43 1 0 58 °z14 3 1s| 180 ijn 945 8*°i 1144K3 4=| 3° <Too 1414=154!200 1[13 11 30 <>Oo| 23 620 1^l-4-S l3S>| 110 i|i; 13 mI <>2o| 2548!15 640 660 18ls°NI 140 |i|i 715 °l 64O 2750 O ilo|ji| 9\2<5 -0| I|29I45 660 25145 58 o7"! 17-I 53|,4||i8o 1I31 18 50 <>80 2II33 30 700 i|' 4|S 5|3s| 300 | 113 3120 M700 2M58 >5 710 7|i 5|57 !hI 31° I'iss! 1*0720 2M87 0 58|45 740 H> slss| s| 1340 |'37^3 43 (74O 217 7<So 1Ml, l°|S 4|1;=° 1'| 3s|m 3°l 7=°l 120 0 1 3 0 1 1 1113S0 | J1 4 1f17 »fl 11r UTabul® refiduum extractionis vmus era: ex aliapcr annos Alfonfi. 16 1 4£Anni comunes expanfi ad annos Alfonii. CEMenfes Latinoru ad annos Alfonfi aIunio inchoates. |Menies Non bifextiles hi LllilllSifi 71 i1l31li8 l4<’ iilLLILs 1 7l .|.|4?1^lM| 3I I 114^ 134-1 3°r fi_| >l!ll 3s| 4s[ ojb |i| ij4j| o| Anni [5 J zJ1|mjNoia &nue. jif 1(dies 1_2i .e\SL‘5 |Iunius 1 1°M 3°f 0I2|l0j30 | lulius 2111 15i _ 3°[ 1811sH ?lAugu. 3|Ii Li 31 1s1 %°W>'| 0jSepteb. 4I alna $o| 3o2^| 15I (Oftob. j| =33 I 1Sal <> o| 3S31(30! [Noueb.6| 3 704il3f’l +5 Dcceb.7) 3|34| 1I 4 8°4S4l0Ianu. 8[4)sIm-5 'A «> 54l47l1S1IFebru. p((4(33) 273 j°l °fs 1i3°l jMai*. 10[|s|4I30+ “1 ISls 7l45 l |April.i i[|5I34I33+ n|b '13 1 3l°l Maius 12j | 6| 5(365 Menfes Bifextil es | (Noia&nue-f £| T|dies Iuniusi| j0J30J 3cJ Iuhus 2(1 i| xj 6if IAugn. 3jI i| 3t| gi | |Septeb. 4| | i| i|tn| loaobTTn 1[33 Liii [ |Noueb. g| 1 3[3 jDeceb. 7||313-4-j |l anua S| JJjJ 1+5I JS-ebruajjj_|_4| 34.I £74]^ J M art. io | | j[ ; 130;! IApri!. 11j\;[j; |33 s| jMaius xi| |g| <g| 3er <r| KK iii / 2'<t£ fi. Tabula conuer- <£TabuIa ad fciendu minuta dief£Tabula ad.iciendum horas, fionis horaru in ru &eoru fraftiones per minii- &horaru fra&ioes per mi. mi.&i.dieru. ta horarii &cani fraftiones. dierum &eoru fradtiones. |Ho |Dilm XU _Jt o >&• * ksiJja ~a°Ih1 lh°m M0*3°jO |3>I‘7 30 ._Li 131,0 24 n0so—*°sJ30 !20 0_i 048 1 31 1 1 48 a 14 u i 8 xc .it 2J_ *4 .M Ic i7 O73°3o73°|33 112 3°.3 fit 33 ‘3 12 o c o 0 IO °4OIO 01 3 4M0i13£l_ 34 133« 1 1 77 ° 5 C* 03°l Iit l3Sj 3«I1730 -51°l 35 14 0 24 l0!1!I30 0»1lr 3d14 17 3°7°I I730 37 I3130 737 14 4» B _1 0 2 0 20 i1 7 oL*°l l°0s? I3.5 033“L 38 5IT 3°o|u 3°. 39I373°*339 M id 3£. 0 o10 _o _bi o[i7 O40 40 0o4°l 40 3°3°41 I 41 30 "4m| 41 id 24 L- L2, 35 o 3° °30 041 I45 011 4 4*| [40 id 48 >3 034 3°43 '>47 30 .Ii 5iil 43 17 12 O*4 35 044 5o014 53«r 44 17 5* _5 0 ?7 4° 3£ o—15 I6 o3730 45 I50 30 156°L 45 18 0 o40 0j.6 I55 0 id d+s 18 24 °4*. 3°l7040 30 47 I57 30 x7d4*1 47 18 48 iS :T7| O41 o.8 o4S04-S 10 ° 18 748 ‘19 12 047 3°19 o47 30 4^1230 19 73«! 42 19 3« 10 11 22 o o 5°0 IO o 50 0So 5020 8_iL 5°20 0 511 3 oM°5130 11730 218mT 5i20 24 °5 5-| o11 o35 05110 022 84*1. 5*20 48 N |m 57’| 3° c| 0 o57 3°r 53 1-30 l39H53 21 12 H0°L 54 1M004 3*1 54 2I$6 M;3°55 2730 M.0 °L 55 22 0 ad 5°l 30! ll£_ |57 120 0ii.24 56 22 24 27-7121 30 r07 10 48 57 21 4* 12 ’- 3| «10 °l |5«0M028 15 «» "58 a3 *1 1 3°1 |55 207 50 59 ^3 3<? 30 5°[ |do 130 03°11 °i do M0 mrn o' 3L1™11 * T5 4 0.“L L 5 T hol nf 1ni* ho m S. ? *2" 541]l?l 11 _L 3 al111* r5 4 4121 13*\ ?l 41 135 4Ul£L1414/JLLU.Jili 2<?3 C£Tabula notarum anni vel menfis cuiulcunque. ^Tabella radicum notarum anm. Radix diluuii s| +Radix incarnationis 7\ -i): Nabuchodonofor 4!iv Diocletiani sl XV Philippi |11IV Arabum 5 Alexandri i>: Perlarum »1 Cadaris ^Altoiiii regis _zl 31 3356I333 31 435l 444I4;34 63S4[ 5s635357777 663 5 634 4*1 ,7... --21 JL—2, 737 *1rl 342'3? 3i43 9i4233 41I4 IO356340 543S IX4Jl I441<T 3 5 4 I2. 511 3 5 +» _7J 77_z '3 6r? 54143 I42 14 7 7 7 7 44 i142 15 -4-145 3563 167"« 4244 42l4 1735347 5(J 3 5 18 413448 43S4 IS s6334977 7 f7, 10 4•3s45° 4*1 11 777 7 s12-4-1 '+-1S235| 53 ’-3 . 1I4?i 53 4 14 M35354 343j| M42755 4354 16 34sJ4 .7777 17 «3j55742-1 18 77775* 214.»1 19 J4*59 3s63| i<r+ C[Tabula radicum motuum omnium hic politorum aderas omnes hic politas . o—... IT Radices motus Augnun &Stellarum, fixarum aderas politas nulla ponuntur,cu vnaenS riint:& line iplis ex earum tabula motus,Vt luo loco patet, accipitur. *v. . ..,—t—wp ^rr-. —;——-r — .-r——-— — q. \*r- +f. M- +,-4[Radices Amotus o£lau;e Iphcnc ad eras hic pofitas. CRadices motus Solis,Veneris &Mercurii ad cras hic polita*. •v b* 5 1s*1d i1>1 *l O¥5|rsiginri i374 C!Radix diluuii il‘9 41 | +JS, CRadix diluuii 15,1SI 32384s| Eius motus eft 1°l lT7| *^L° 0RNabucho. 48 141 i 1?L na Nabuchodono. |?i 10 4S| 0|A4 RPhilippi 34«| i£l 54 3i-51 Eius motus eft |°l S4C!17°l 0RAlcxa.mag 351 44243. ft! Philippi |sl+* 35147 _£l RCa:faris 437 34 4 1165^1 Eius motus eft |o| 24» 55 °| 0>b iv incarnatiois 43811 03° l8 | RAlexa.magni j51-+3 RDiocletiani 37 J3518zo Eius motus eft 1°!_± 3s|*$!1 0Q|RAlhigera -JS4 51i0!°l RCsfaris s[77| ,,j!S RIclHagert 5°| 5S 1 1 °! Eius motus eft °[ °. 4SH5 0°l RAlfonli I16 jM1z384i[ Rincarnationis [SIS5 -H3-5 F CRacf.motus Luna; ad eras hi cpolitas. Eius motus eft o| o7)45] o! i *• *):l\ 8m1 i1>4 i>e Diocletiani °l ’347I5° a3S Radix diluuii 447: 45>| 43 524- Eius motps eft oj iSNco’ RNabucho. 016 4(J 43 14 5» RAlhigera F°in1io| 16 •v 38 RPhilippi 145 37 Mz1 1 Eius motus eft 1°l 4|3 S|4'2' 00RAlexa.mag. 4: 4-1 1 , J-O 11 . R; Ieldagert 1°l-3 1[±>'| 3'p aRCielaris |-Is 4a5zo 25i2. Eius motus eft |°1 4]l+4-l +Sl 0>J<R incarnatiois;M1+5.1is° 16ij. Alfonli 1-1 3l34l 4[T5>j- MRDiocletiani j1*Ls-S1+4 %77 tyf, jEius motus eft |°l ^1! 3ifl JlrWLa RAlhigera jQ1 I '4-3 54 RIelHagert 15153 pIi 15 'Jw^^iccs Augis Solis &Veneris ad.eras hic RAlfonli Isii*rtL1' 1 1 45 pofitas line motu o&aua: Iphaene. C!Rad.argumcti Luna: ad eras hic politas. O¥Imi i\15[I1 5s’ fflj sl 4 1“MSI 1[_£ 1°Radix diluuii 31+4|4S| 43744 \\gft RNabuchodo. 1‘1 ss«|>® r°O|RNabucho. 41*31 3|45 59 42 Philippi 1'I s1*(**jw10RPhilippi |1-Oj|4°1 3<>| 45, 29 Alexan.magni. M*l S|n| 4°l rAlexa.mag. |4)15147| 3° 18 24 j. Cxlaris ‘l Ml SfjSl >«11°l RCaifaris 4| 5ff ,mIo 13°i i >4< i)t incarnationis iJjUj ! <?l >E Rincarnatiois ca s:,_°ir4'iLM-7 ^.RDiocletiani -Ini 3°l li| *>lI0RDiocletiani [3.|3° i-- Io |44 |4°J RAlhigera 1HmUsM\'M1°! RAlhigera 1|47|1J|f17|4*l'isf *RIefdagert 13M-}J 1°l RIel^agert |'4( 54|? 2-1(33 13l 4-1 *f AMffi?' >y Alfonli 1-m1-3 7[ P14^1 Alfonli 14l »o|13-14°| d\ °l ; 'i t*+G. i -Ji r*» 0II M,}i th z6<, dRadiccs capitis draconis ad cras f£Radiccs argumenti Mercurii ad cras hic pofitas. ehic politas. a*i1* f1¥5*Vm3| ?l CRadix diluuii |3)35]J511 ‘7| 5f[Radix diluuii 5|5 s|5P|32h4| °l iy Nabuchodono.l °|4^j44|59 5if iy Nabucho. 020 I4| 5°| 39i ?! Philippi |j| 37| sliy iy Philippi 333144J44IS^i iy Alcxa.magni j$\ "l+sJiil 20 jaf iy Alexa.mag. |o| 1pj 56\ z6\ $+j Hp\ iy Cafaris jA.I5|S!l34| 3iy Calaris 1411 46°l >p iy incarnationis j*|3*|S$|S*|4' 3fc] 4iy incarnatiois °I+S 113138Oo.l iy Diocletiani |2-3 x4) Ri Diocletiani i8|i4*7l+* of *Alhigcra |3153 xo 3sl 5 1 1siy Alhigera >1*3 26'4|3l °l iy Icfdagert 1S | 14|ss2I0iy Iefdagert *ls> 73«|i?l °i iy Alfonfi regis. 13« 11 4« II°jyAItoli regis. |3133|4S138i3«1 F ftRadices argumenti Veneris ac era {[Radices Augis Marus ad eras hic polihicpolitas. tas fine motuodaua Ipharx. ¥1 ri=r £54c? sJ4l URadix diluuii 04- 18 3S 310{[Radix diluuii I3in4|si|4j o| iy Nabuchodo. -3°i53« 0iy Nabucho. 4s|4l|S»lii °l iy Philippi 114 18 s° » 9 0iy Philippi I|S2.|45|4ff i 13o| iy Alexan.magni. 40 |+5314*°iy Alexa.mag. 1 13zl5 3 °+s| 1 iy Calaris 33*1 744 F0iy Calaris ‘|S4|SS 2-7 57 °l 4iy incarnationis 23» Z1 23» °4iy incarnatiois Issi- >3| _±J F iy Diocletiani 44+1 S43 4^| 0iy Diocletiani 157 '7 °l iy Alhigera 047I4 1 1 7IS| 0 iy Alhigera 'SS 4«P)s8 °l 151 Iefdagert zI3« 2S*3 iy Iefdagert '59 5° 34 a-4 0 iy Alfonfi regis. 045 4s|53 IS °l iy Alfofi regis. *4z331 41 |£Radices Angis Mercurii ad eras hic po-{[Radices motus Martis ad eras fitas fine motu oftaua fphara. hic pofitas. 51i81*F34*FS1F*'s 4 CRadix diluuii 147 .TH*i 4|CRadix diluuii f4)$3JS^20 s. iy Nabuchodo. 5l,c |i3 41 iy Nabucho. 031 >»•>8 38 iy Philippi fi 1 SIF tjFiy Philippi 1147 47 9+7 0 iy Alcxa.magni Ii 8|n|io 43j 0iy Alexa.mag. 34* 45 53 >5 0 iy Cafaris ”3 10 47Ll?) 0iy Cafaris 3‘7» 44 iil Ji 4iy incarnatiois 33P|33 4| 04iy incarnatiois 04i *S 29 43 C iy Diocletiani sM-n-hs 310iy Diocletiani |5]381016 2% ±3- iy Alhigcra 3*5 31Si1°iy Alhigera 3|3>l4» 33*2-8 iy Iefdagert l7W+NI 0iy Icfdagert ll» 35 2-31 431 iy Alfonfi regis 3>s 51i*> 4i|tb iy Alto 1regis 3Ll |3 SI*S O LL Radices Augis louis ad cras hic lERadices motus Saturni ad cras V1«I B1m| i| 314!1) TJW\ 1134 CRadix diluuii | 2. 1 1 0 14i>| 33 )41 ]e |CllRadix diluuii 443 5* 39|4S|43 3S|j5|TF 3*[ 270 «J 0 jy Nabuchodo.) 2. j 2.S J7j4<5"41 1 0iy Nabuchodo. 4 iy Philippi |2|3'Ih|33 3ips 47 Ii3 10 4S| 0 iy Philippi 120 3«lii|i 8 iy Alex.i.mag.| 2iy Alexa.magni l~3 4«! o|45 0 iy Cadaris {233j 10 |'4 17 0iy C£cfaris Slj;| s| 151337)2 4iy incarnatiois| 23313 71 °404iy incarnationis I14 I(10 14l/0 iy Diocletiani|2TTM 13i 0iy Diocletiani s\$S> 41^-4 A3 33.8 iy Alhigera |23S|ro| sS|,S 0iy Alhigera *'l pfT-3-pi» +±l3i£H 44I. 33 M: o| lylcfdagert |2]38Ji s| 21 124 °i iy Icfdagert iy Alfoliregisf 2- 1 4 2 . [ 4.8 13S 1 4r | iy Alfonfi regis (£Radices motus louis ad cras Cdladiccs elongationis Luna: aSole V8|g !n? *Ui)aGsg" m2T4l CRadix diluuii j5111 1z313»xSCRadix diluuii 34SI 1S1 0 S3 '4| iy Nabuchodo.| 3|4)42)54 ]55 iy Nabuchodo. o| S8 |,S 0S3 44l iy Philippi ^s\^7\lo\^\VP iy Philippi 4SS IO 2 1 37 4*1 iy Alexi.mag. l|3°|l»| 7|S7| 3iy Alexa.magni 4|55 I235 .8 i±l iy Cadaris i| 4<J|45 6\ 9x9iy Caifaris 3|i« 30 35 !s l 4iy incarnatiois 31°f 3710144 04iy incarnationis 314 M45 45 I2 iy Diocletiani gnr siy Diocletiani slss 55* 34 36 iy Alhigera SI 31 /43 I9\ll\'}P iy Alhigera 075*4 z33 iy Iefdagcrt |4|3i|f 8|liljiojifll R; IciHagert 4.\z6 M3* 54. iy Alfofi regis) 0J i<j| ie> | iy Alfonfi regis |418 s 33 3 CRadices Augis Saturni ad eras hic pofitas iinc motuo&aiuE fpfnrra:. T) l~~STg| m|i!T C[Radix diluuii |3[3 c| 36\ 2o|41 CRadices argumenti latitudinis Luna: rvNabuchodo.^ 3[47I $4|aSj^Tjo iy Philippi ~|'7|^T|~T|"i 5l^ 3l~oi iy Alexi.mag.j 3[ 51j|cj iy Cadaris ^|31 53^) 6\{6[77jI >R iy ineamatiois [3[7 3[2. 3[42. j4joj iy Diocletiani Q3 1551 2. Sj4.4 13i.j cj qt Alhigera |3|HS7[4°M1C1 ,iy I etUagert j3j53j i| 3|2 4|o| .lyAlfofi regis j4! e| 35[xe.. 141jtfej FC ad cras hic pofitas. y CRadix diluuii JlKLlil zP-4|3j|_j.\w Riy incarnationis iy Diocletiani iy Alhigera is: Iefdagert iy Nabuchodo., j 1 1 ij] 17(42. j o iy Philippi [ i| .7)10 aojTJ iy Alexa.magni |51 1$| $6 34| 1 iy Cadaris |. 311 1 1654) 9 1|3+Ij£ jflPjiLE iPjl 7|_p|?.s|i8J ’-M 4| 7l }\ '[ 1fij' H-c >/•?«**• /firW1WtJ ’.:iWh«K. <»ZH .* .7 J}; £. Cr£- ” /rSy EXtabula regiofiuto, longitudinem &latitudinem locorum qiiorumcunque,hoc eft, diftantiam meridianorum &cleuationem poli inucnirc. CE Sciendumquod dilpofitione duplici tabula regionum inuenitur:communi enim di(politione &frequenti,ea lioc modo ordinata inuenitur,vtloca primo eoru nominibus (cripta cernantUrrdeindc in dire&o cuiuflibetloci flue oppidi feribitur primo ordine eius longitudo in gradibus &c minutis ab occidente habitato ,quod occidens habitatum diftat ab occidente vero verfus orientem per i7.g.& 3o.m .Secundo .iute ordine eius latitudo feribitur fimiliter in gradibus &minutis ,qua: eft fui poli fuper horizontem eleuatio :vnde diftantia locorum longitudinalis non eft nili diftantia gradualis, vel horaria fuoru meridianorum ab inuice.& talis diftantia Ibliimfumitur ab oriente ad occidens,&econuerfo; Sed diftantia locorum in latitudine eft differentia gradualis eleuationis poli fupra horizontem in altero,& talis di ftantia eft Iblum de polo ad polum fumpta: vnde latitudo alicuius loci noneft aliud quam eiufdem loci poli fupra horizontem eleuatio. CE Scias tamen q> in tabula pratenti regionu per quam hic operamur,feributur poft nomina locorum (vt labor reductionis cuilibet abeflei)dift'erentia longitudinum in horis &minutis:deinde poli eleuatio per gradus.cu quibus li operari volueris ad diucrfos meridianos ameridiano Toleti, operare vt dicitur loco fuo in propolitionibus. f£In aliis enim tabulis regionum vbi longitudo gradibus &minutis conftat,nccelTc eft fi per eam operari volueris vt fupra, vt longitudines duorum locoru ab inuicem fubtrahas,minore.f.a maiori:& remanens eft differetia in gradibus &minutis: Q^iam deinde opus clletin horas &minuta &c. per fcquentem conuertere,& deinde cum illo operari,vt dicitur in fuis propolitionibus. CEx tabula autem climatum ¶llelorumvbi numerum polarem ex tabula regionum acceptum inuenies, illic in quo parallelo &climate illa duitas fit,cognofces,& diem eius longiorem &c. EXtabula verd propria quantitatis dierum vbiuis diei cuiulcunque prolixitatem agnofces,fi numerosi» capite tabula* pofiti cleuationem poli Borcalis fignificantes, &in lateribus extremis figna zodiaci cum ternis gradibus animaduertas .Nam illic ad quauis die fi accipias fignum &gradum Solis,&edireffo ipfius fub numero eleuationis polaris apparebit quantitas temporis femidiurni in horis &minutis fuis, fi fol in aliquo fignorum Borcalium fiierit,aut quantitas temporis feminofturni fi in auftrali quopiam extiterit. Q^uod tempus femino&urnum ex 1z. horis ablatum relinquit quantitatem temporis femidiurni. Ea aute quantitate duplicata totu tempus diurnu coflabiitir.Cum autem dies cu node fua fimul 14.horis conftent:fi quantitatem diei ex Z4.horis demas ,quantitas no&is relinquetur.cj» fi gradus Solis nOn appareat in alterutro extremorum ordinum, confiderabis duos iuxta eum viciniorcs.Nam penes fitum eius ad illos proportionaliter conie&abis quantitatem temporis femidiurni mediam quodammodo inter duas quantitates dieru duobus illis vicinioribus gradibus correlpondentes. Porro femidiurni temporis quantitas indicat qua hora Sol occidit,ficut &feminoCturnum tempus ortum Solis declarat. Signa autem Bore * aiufunt THn$Rnp. Auftralia verd ^rrj. Tws X• LL ii Ex horis 16 8 EXhoris «quinoftialib* fiue fiqlibus, horas zodiaci fiue inscfcalcs extrahere. CNumerum horarum ortus Solis(fi horas inaquales diurnas voIuer>s)ab horis poft ortum lapfis fubtrahe:& refiduu ferua ad partem. Deinde femidiurnum per praccdentem acceptUjper fex partire:& numerus quotiens eftquatitas hora insqualis,cum qua diuide refiduu fupra iam feruatum adpartem:& numerus proueniens eft hora inaqualis diurna. Non difsimiliter horam ini qualem nofturnam inuenies,fi horas occafus Solis ab horis poftoccafum fubtrahis,&feminofturnumperfex partiris,&inciteris ages infingulis per modum di&um de horis diurnis. ?,V/ L!\fc EXtabulis aquationis dierum, (quarum in prafenti duplice: funt deferipta, vetus .'f. g'. &m. moderna ni .& z. horarum aquationum dierum lub fignis in capite, &in lateribus ,in dirc&o gradus Solis continentes )Diem diuerfum ,Sc aquationem dierum, ,r, .r-&horam aquationis, &horam regionis intienirc. ^Hic eft notandam ,q> dies diuerius .eft integra firmamenti cumadditamento illius partis,quam Sol interca,vero motu pertraf» iuit reuolutio: Qmdies eft diesapparcns,adquemqj dies clauduntur artificiales +dies autem mediocris fiue aqualis eft completa firmamenti cum additamento arcus ,quem SoT interea fecundum niotum medium pertranfiuit reuolutio: qui dies eft Aftronomicus,&- ad hunc diem omnium motuu tabula funt conftituta:vnde circa hac difeuisio quedam nullatenus eft ncgligenda.& cft,q> circa horarum acceptiones contingit nos alquando decipi, non recolentes de diuerfitate dierum Sc horarum,ad quas aquantur curfiis planetarum: Sc horarum qua per inftrumenta accipiutur,ad quas quidem afeendes &reliqua:domus, necnon afpeftus planetarum aquari pracipiuntur. Eft enim inter eas diuerfitas aliquado maior,aliquando tninor,& aliquando nulla: vt alibi habetur .Sedqucmadmodu nos cauti cfle debemus in iuuando nos cum hac diuerfitate,his fcquentibus intclligitur. Siquidem hora per inftrumentum aliquod dcprehen(a,qua hora regionis nominatur,ad quamque Afcendens^eliqux domus aquantur,fit cognita, ad quam inuenire voluerimus vera loca planetarum. Hora igitur tali cognita,nos cx alterutra tabularum aquationis dierum,fub figno indirefto gradus Solis certitudinaliter squati, aquationem dierum accipiemus,&illa aquationem dierum,fi eam ex tabula veteri accepifti,reduftam in tempus horarum per fequentem propofitionem: (tabula enim moderna tempus reduQum cotinet)a tempore hora co- Vh'rf.«-.fgnita fubtrahemus ,&cumrefiduo loca planetarum inueftigabimus :&ha hora fieexa- ,'minata,vocat* fiint hora aquationis. Si autem locus plancta fit notus,ficuti locus coniun- '.Mi.>~.jftionis vel pr^uetionis luminariibvcl coiunftionis aliquoru planetaru,vel coru oppofitionis,aut introitus plancta cuiufiiber, in quelibet gradu figni ciiufiibct:& hora qua hoc erat '* *-t'VcI fiierat velimus inuenire:Tunc horis per aduentu ftella prodeuntibus ad locum addere debemus aquationem dierum fecudum modum ante diftum, quemadmodum prius cu hora nota cflet,& locum ftella inuenire vellemus :aquationem dierum ab horis illis fubtraxnnus,& ita examinanda funt hora,vt ftiamus qua funt hora squatioms,& quij regionis. Tabula g'. polares TabuIa|Climatum,&Parallelorum,&augmenti longioris diei iuper diem a:quinodii,& in diuerfis gradibus miliariorum. C!Aequator dierum ,fiue Aequinoftialis 0habet diem horarum. iz. femper conti- 1nue. Et vnus gradus longitudinis contixnet miliaria 60. 3 4 5Primus parallelus differens ab zquino-- €diali hor .o.m. i5.habens diem maio- 7rem hor.i l.m .i 5. S 5» Secundus parallelus differes ab zquinoiodiali hor.o.rn .30. diem habens maio- 11 rem hof.1x.nf.30. it Climatis primi principium.g .1z.nr.4^ . *3 Eteft 14 Tcitius parallelus differens ab sequino- 15diali hor .o.m\ 45 .habens diem maiorem hor .1 z.m". 45 .Gradus vnus conis-tinet miliaria. 55. Climatis primi medium.g .1 ff.nf.40. 17 Eteft 18Quartus parallelus per Meroen,diffcrcns 19ab ^quinodiali hor .1.habens diem ma aoioreni hor .13 . f£Climatis fecundi principium,&finis prizi mi cft.g.io.m .30. Eteft zzQuintus parallelus,differens ab squinoz5diali hor .1,m .15.habens diem maio- 14 rem hor. 13.111.1 5. Climatis fecundi medium eft.g.14. 15 ni.i. Et cft z6Sextus parallelus Tropicus Cancri per Sienen ,differens ab a:quinodiali hor. i.nT. 30. habens diem maiorem hor .13,n? .3 o. Gradus continet 17 miliaria. 57. eClimatis tertii principium, Se finis fe- a8eundi cft.g‘.^7.m.30. Eteft Septimus parallelus,differes ab $quinodiali hor. 1.111.4 5. habens die mali) iorem hor .13,111 .4 f. Eteft Climatis tertiimedium.g^ o.rii.42. 30 Odauus parallelus per Alexandriam 51differens ab a:qiunodia!i hor .1. ha- 31 bens diem maiorem hor .14.Gradus 33continet miliaria. $4. Climatis quarti principium,# finis ter- 34 tii cft g.3 3.m.30. Eteft 35Nonus parallelus.differens ab tequinodiali hor.i. rri*. 15. habens diem 36' maiorem hor .14.nf.i y. Climatis quarti medium cft.g^.3 6. 37 ni- .14. Eteft 38Decimus parallelus per Rhodum,differens ab squinodiali hor .2.nf.30. habens die maiorem hof.14.rri'.3 o. 5P Gradus continet miliaria. 50. C[ Climatis quinti principium ,&finis LL iii |_'JhJtxfa afccnJjomTni. !"Y * !.vl jY*.. !P I:r, mifr mGiiixG mGjt? -is/ Az/s/vdw- Grjrdu/s/n. . 1*>s 3X .3/a. a.7 J3^ i» * iM- +? 6u30 ;€Jl 31 17 +f3l i3" |i- .3 7»-_ 10 43t J<5 Xt 3/ Ll* 32 3^ 13- V37 '3 <*• 38 J±_. 0a? . <+ +7 3j) IS 3S fo J.c. >3 .» »7 11+3. 17 /3 +3 Ui-tf. 4+ '3 3J 4/ x0aj +<r LiL ,x .47 M- 1+5 ixa X" r*3 i? 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