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Show 13 H les int, & regulares no Feventricis& Epieyels zquabiCentr huius Equanti fupe fe centri fui Tpe , DNE« RI EN Ec sus Aro fve Centro dwn 3Terr Planct i Diffan i Htaxi {iv d Q,' Prrrczny EccENTrRicr, DNE D, Give Minims Diffantia Planete 3Terrd five Centro Min & G Apoganm Aquantis Girali GXOKBG G X m OKBG M. Forigaum cEquantiscjofi s: Corurus SOLHAF. Linsa Arsip sTiTroRUM ZAY. Linea Mepraruy LoNGiruprNuy. EQuiNOCTIALIS Epicycrus I Planetamin dpogeoofiendens EreciD. Centrum Epicyel in UApogeo D Eecentrici D N @ D H. dpogenm Epicyeli, ubi Plancts Apogams in Masim Diffantia Terva five Centro Mundi A qua eft G K 1. Perigenn Epicycliny 1 deny. Motusin Confequentia Epicycli feu Planerein Su perfice Bpieyeli 15, ‘Motusin antecedentia Epicyel feu Planctain Si perfiie Epicyeli commorantis y1de Ertcrcrns PLANETAM VEHENS five Circumferentia Epicyeli, in cujus foperficic Planer baret Evicycuus V. Planeamin Perizeo monfirans Lo in Periges E. Eccentric E. Centrum Epicyx§el DNE«D K. Perigaum Epicycli 0 Ly . ubi Planera Perigens in Minimafud Diflantid A Terrdfive Centro Mundi A, qu ot KA L. Apogenn EpicyclixAT. 2 L. Gireumferentia Bpicycl Teiglex hac autem trium Superiorm Planetarum TheoridtaMotusin tio Thabcatu necffe ol Triplicis Mots, quiinfingalis oc Gngulishi currit Privs Motus Apogei in Confequentis non femper fe fu Edlipicd, licutin Sole ; nec ctiamaccedendo& recedend abilla, utinZuna, (ed fecundum parallelum Eeliptice Circulum, aded ut habeat quidem diverfum Cenrum, fe cundem tamen Axe , neque aliam Periodum, aut Irregularitatem, ‘quam tribuendam Eeliptice, obtineat T Eecens Secundus Motus Eccentrici D N E D, {cu potius Centr D. Bpigyeli 1 13¢ in ipflo Cireulo Eccentrico, feu Gircupy ferentia DNE oD in Confequentia, id efl,a HinZ FMo-Y ac ficoblique ad Eclipticem HZ FX H, &ad Circulu tus Apoged, fecarque illorum Axem nonin Centro, fed verfus Eecentrici D NE « D Perigaun E, unde major illiu Eecentrici pars vaD Nz verfus Cipagenm D> & mino ospi. ciufdemportio w4E s verfus Persgeum E remanct. Ef wnas. autcm Dirats Motus in Saturas minGtorum 2.in Jove minutorum §, & in Yarte minutorum3 1. adeo ut Sasnrau 29. annis Rgyptiis, & 129. diebus, Iupirer 11. anni gyptiis, & 316.d ime, ac Mars anno Kgyptio 1. & dicbus proxime 322. totum Circulum perageet L Epiey- Tertine Motus Epicyeli, aut, fimavis, ipfius Planete i elivel e Superficie Epicyeli 11 3% haerentis, & quidem in Superiore ipfus parte, contr quam in Luya , in Confequensit, hoc. ex Jins, exeiny, & cx 7in 7. in inferior autem partein Ansecedentis, nimirum ex 7 in1, ek Lind Hoc aors dictim, aue ingulis dicbus, conficie Saturns $7. minuca, Tupiter 54, & farsfect 28. ficut Seturmoain -Scdicbus 135, Tovianno 1. & dicbus feré 34. 8 Mart annis duobus, & ferd 60. dicbus ad hanc Peziodum abfolvendam opus fir Excanp Exeaplis ors hosex T v » 1 ipfius Figerd declarabimus. CensrumD. Er1c¥cLy I 1y los moveatu in Fecentrico Dy Ni P pro‘motam adumbrantis , atque efto _pageum Epicyelimedium s, defignatury per lincam C P'S R duftam ex Cenrr Gireuliiquantss C per P. Gentrum Epicyeli 11, Ducatu alia linca ex Tervé five Centro CHnnds A per idéem Gen#u 5 qu tro A, qu AX L. ta > CPSR APT R IV INGE T SEEARE AXL Linea VERT Loc PraN T E QHY. ALitsxa Q Atcus VERT Mo sus PLaNeTA UsQue Ap Intrinm A V xiET1s LiTERA Y. Hic drcusin Ecliptici HZEY Mo7u incerceptus inter Q extremum apicem lincx Feri Ciotu AP T Q. &initium driesss ¥, feu charatterem Sign Gjufécm ¥ ton(irat Veram Motum Planets ab initio dricti ufguead Q RHY. A Litera Y. INIT10 ARIETIS Axc Axcus MEp11 MoTus PLANET& UNrus Mo Ey Tripus SuFER1ORI5US Usqye Ap M LiTeram R. HicArcusck R per HufqueadY, in tium Arietis in EclipticA H Z F Y. cxcurrens, oftendi Spatium Medis Motus ab R extremo pundolinea eated ntotus CPS R, per Hufque ad literam Y, ubi Arieri initium Cernitut, extenfum HY. ALiTeRA L Arcus VERT LOCT, Axcu E VER MoTu Priwciriu PLANET £, UsqVE AR1ETi LiTER Ap Vea ORaVEtIAl B circumyehat, antequamex Comjunctione ad Oppofirionc NMA s his1 Evicycrus V. Hicnullach Profapherefi, qu omnes Linee in Lined Apfidum cuncnnun{ Er1cycrus VI cf Profyphareis five Arcus Proflapherefis, qui tantd evadit largior, quancoa L1~ & An perveniat, & ex hic ad ConjuncZionem revertatur. Tnterc SolPlanetam citiusallequitar , & facit, e Adedins otu Planerejun@us Siedso Motwi cjus in Egicyelo solls Medi Moswi zquetur ARUM LoNciTupinum ZA Y. proQuod ad Zaritudiner attinet, ca quidem ex Obliqui- Mzp o accedir tatc, quilfe habee ad Eeljrican planere Orbita fon Eccen- piusEvicycru VIL kj roflapharefic, feu drcu tricus , dependere cermitur. Sed nihilominus ipfm cx Proffapherefios Maximus Epieycliinclinatione, & non fixd, fed mutabili, & libeatil Ericycru VIIL ml profpherefs Gve drew Obliquationc, vel augeri, vel minui contingit. Vix au- Proftaphercjios, quiaccemoucépi:}:l[/'m Afiélm Eccen tom potelt Lasisudo Maxima pervenice in Sasurno quidem #rici fenfim decrefeit donecibidem cvanefcat adgradus 2. & 5, aut 6. minuta : in ove ad gradum 1. Errcycru 1. Hic nulla itcrum et Profapherefi minueaitidem 5. vel 6. Atque fi Marse ad 7. gradus. coneuriun Linearurs in Lined Apfdum riat EPLCY crus LILh.g. Proffapherefis, eu Arens ro- ‘ob Notandu i conftrudione hujus Fignre Difiantiarm W' fFapharefis, quihic Maximus C.iate Centrum dundi A,& Centrum Equansi C.deber EvxcycruslV. de. Profapherefi, fen Arcus Pro- <ll SemidiametrumEpicyclora D Liccundumquam EpicySiapherefos, qui tantd fit minor, quantd magis Perigeo Ee- ¢ conltruendi, quod a Calcogtap io non cft obfervacentrici Epicyclus appropinquat um Y. Hicjoe Arcusa Litera L, feu extimo apice linee Peri Loci Planese AXL, per Hufquead introitam driesis Y fe extendens defignat diantiam Veri Loci Planete ab initio Ariess Y i Ecliptici H ZFY H Q. Gentrum Epieyeli Vernm five Diftantia Centri P in EpicyeloL. ab Apogeo Eecentrics G- nimvirum Arcus PG qui hic non cim Cnamalia , it Argumentum, quam Censtum Epicyeli folex yocati HR. Centrum Epicyeli Mediurm, Give Diftan ieyelo1. ab Apageo Eccentrici G nimirum Arcus H FYR five Arcum P Gin Eeliptici H quiindicat Diftancia rationglinez G PSR , ¢x Centro efquantisC , dedu@ia ficutH Q montravit Diftantiam Veram ratione linea: Ze74 Mo AT T Q & Terrd five Centro Mundi A produdte XS. Apgumentum Medinm , five Diftantia Planct exiQentis in X ab Epicycli Apogeo Medis S XT. CArgumentum Vernm, five drens monttrans DiQtantiam Plarete exiftentis in X. ab Epicycls Apogeo V n QL. Proffapherefis, Aveus Proflapherefis, five e£quati Centriy ubi notandum, Proflapherefin , & Minuts Proportioalis ex divexfitatc apparente Diametri Epicycli, & tempus quo e Equstiones fantaut nulke , aut maxime , & quo addendee & fubtrahendzz, & alia hujufimodi, codemmodo hicaccipi, quoin Luzaaccipi folent. UtinTHE or 1 Lux s Tyeo &cusDeferiptione monflratur Non autem hic exiftimandum ctt, quando Epicyeli cuns (o Cenrroex G. in P. pervenit, Planesam folummodo per Epieyeli faperficiemex Haut T in X, utin Epicyel 11. vel quando in Epigyelo 111, ad N, pecveni, ipfumin V aut in Epicyelo 1V.in g. in Epieyelo V 1. ina, in Epicycl VILin6. & in Epicyclo VIIL inT. promotum effe Nam privfquam Epicyelu Satirai v. g pervencritex Ga 1,ipfc Planeta Epicyelam totum percurrit proximé quindecics. Idcirco Planetain his Epicyelis cum in finem tantu appicti funt, ut aliqué Altem ratione morus hadenu didi poflint intelligi, ac fimul etiam percipi quomod Planeta_pollic cife Gimul in Perigeo Eccentrici & Epicyel fimul. Pratered hacipfa Figuranon ufqueaded accurat fadta oft & Calcographo nalutiore, qui praferiptum fib exemplum preffo pede non fequutusctt Mirabilisautem hic eft confenfuus Plaete fc per Epicy- Con el fuperficiem circumvolventi , cum ipfo Sole; quandoquidem talis revolutio pracift completur tanto tempori {patio, quantumex una ComjuncFione, aut ppofitione Me- com sol disad aliam intercedit, aded ut in omni Conjuncion CMedia Planesain Apoges Medio Epicycli exiftat, & inomn Oppofitionein Perigeoverfetur, ficque tantam Planicta fem‘pe diftctab Apogeo Medio Epicycli, quantum linea <edi Loci Solialined Medii Motus Planete, ac fubtrahendo proinde Medium Morum Planete cx Medio Mot Solis Argumer sum Mediam Planete remancat. Ex his intelle@u facil eft, quanto tardiore circuitu Epicyeli Centrum e in Eecenrrico circumyolvit , veluti in Satarae, tanto velocior wotu Superficiem Epicyeli, & Planesam in ipfa hatente erit AP T Q,& adhuc una ex codem Cen- circumapi, quandoquidem Censro ipfius femel circum- fit Parallclacum Line AP Q, qu erit voluto tota Superficies und cum ipfo femel circumduci eri i, atqueia tam veloci celeritate circumagicur cum taLinza Mzorr Morus men in Ercensrico ipfam Epicycli Gempruim tardius pergat Und neceffari fequitur u Epicyclu Plancra totic Linza Vir: Morus circum Q TH O |