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Show 13 B 0N RE 08s2n Ere cus Eccenrricy Erley DErgrex r_fn. wxrt, nimirum quandoctt Prex1co e ""5 u wtom Luxe Sorr Orrosits, & Avocaru Eprcrorr habents, ut videre cft apud Errev V. & litoras . &c . ERt hic Jnfimis Eccensricus monfizan Lunein Epicyclifnl Apges verfantis maximam & TerrddiTrantiam, quandoin Plenilunio Soli oppofita Texrz inte Spfam& Soem interpofice, faciem objicit, que A radii Solaribusilluftcatur. Sicurautem inpriorefituinter Sole & Teryensm Globum interceflione fud verfatur 3 Trainho pofteriore poficu inter ipfum & Solem Terrs intcrpofit acer PR Ecernraiorras fvediflantia Cewxas E Eccrxrrict Supremi GNMO, 3Czyrro TerR AL, Eccxrrictras fivedifantia Cexrrx L Eccextrict Infimi yo8¢n ACentro TERnz LF. Eccexrtricitas Durra, five Lines e duabus fts Eecentricitatibas compofita G. Aroosux Eccextaick SpremiGNMO & Crxrruy Ericvert L QRS RSP, Ericrciusl Novituxi S Periczun Ericrerr Q. Arocsum Ertcvcrr B Noyrruxrux Luxz Coxjuxcr Sork M. Per1cEuM ECCENTRIC NMO Cu Supremi « Avocsun EcCENTRTCI Infimiyodeln &CeNrTru Errcycr V. 2ab Srev xAbn Erzcycius V ‘ems Y.y Prmrcsum Errcycrr V D.Prexirunium Lunz SoL Orro 7 PERICEuM ECCENTRICT yedel Moru AesipuM MEpraxu LoNc1Tu D1NuM UtautemhacF1Gur 4 probé intelligatur, M o iidem Morus concurrunt Fiat Motus Apogeiin dnsecedensia ex Literd G ind.tun Evcentricus com Epicycla fic fe habe abcdcfghia. ECCENTRIcuS Lung Far cATH CRESCENTIS Vd LiNsA Aroc 21 inAntecedentiaufquei d delati d. Aroc £um ECCENTRICT abedefghia V. CenTruM Drcrr EccENTRICI quod cum dicto fuo Circulo Eccenzrico ex Fin U delatu eft TercvcrusIL inquoch Luxa FALCAT AR CRESCENS, & quid mododido Eecentrico abcd cuui i cfghiadefertar. Quando enim Apogeum Eccentrici i Cntecedentia ex G in d proreditar, Centrum Epicycli i Confequentia x Giin a procedit. Luna verd in dnticedensiaex Qin R iter fuum facic, atque ita Curfies Lumarsstriplici Ao perficiendi modus ac ratio oftenditur AR X. LinEa VERT MoTus, Lune, ACen170 Terre, five Mundi A. per ipfam Zune Corpus five Gen 1rum PropE R, ufque ad Zodiscum inX. tranfiens Aa Y. LiN5A MED1t MoTus LumedCen10 Terra five Mundi A pe Centrum Epicyelia. ufque a Eclipticam in Y. traduéta. Supponiturautem hic,, Zocums 3t Medi, quam Veri Motus Lune fupputasi, & fumi ficutin Sole APincipio Arietis AB. Lixea Mepr: MoTus Soris ef omnind HMedisinter L1 NEAM APoc &1, Vd LiNea Mepix Morus, Aa Y, atqueade ubique Medi nter duas itas Lineas Apoge & CHedli 4o tamenunum circiter gradum in Confequentia dictim pe currens illum detzahit Morui, quo Centrum Epicycli mo‘vetur, & cum apponit 440fi, QUO Apegen promoyetur Notandum autem hic efle cito, quod gradusille, qu Sol Lunam infequens, fingulis dicbus curfium funm pro movet, caufafic, cur Lus, poft Periodiiz fuam ablolutam ad Sofem rediens, eundem in‘codem loco non reperiat, fed duobus adhuc,, & amplius, dicbusindigeat, u ipfum confequatut , & cum coden iterum congredi pofI Morus APoGZETIN ANTECEDENTIA, fit. Hinc contingit, cum Periodicus Menfis dies 27. acfer REGuLARITER CIRCA CENTRUM TER- trientem compleftatur, ut Sysodicus 29. dics,, ac dimi xRz, Digsus Sincuris XL GrRAbpuum, dium, cam hore proximé dodrantcnancifeatur Porrd in hoc Epicyelo I1. Lunain R exiftitatqueideo Q XIL'M1NuTORUM, itd Eecentricns Periodim fia cum Apogeo fiuo ad finem perducat fpatio 3 2. dicrom 3. R, cft Diffantia Lune b Apogeo Vero Epicycli, & aa, horaram,& 5. minutorum feré. Nimirumex G fcmo- Diffantis Lune ab Apoges Medio. Q et Apogeum Epicyel Verum, quod drgumentum Verum dicitur: aa Apogzu Vet Apogeumin Antecedentia, utinc,d,p, q. &c 1L MoTus CENTRI EprcycriIN Con- Epicycli Medium, quod ctiam Argumentum Medium nuncupatur, & invenitur, educendo ex Pundfok lincam pe SEQUENTIA, REGULARTTER CIRC Centrum Epicyclia ulque ad cjuldem Epicyeli Peripheria CENTRuM TERRA Sinouris Dizpu XIIL GrApuum XL MrnuToxum, aded inaa, Puniumantemhoc k. Centro V. hujus Eccentric Tmreex. Tu Lins Line EL U s Lunes quia, licet Apogenm procedat fegnius dicti duobus circiter gradibus, qudm Centrum Epicyeli, So S1T BAD CAE A quomodo & LineaD 5 x MLF intclligendaeft, in qu TRIPLICI accurataratio eft habenda ut Periodo (ud abfolyendd confumat 27. dics, 7. horas &43.minua, quod tempus, Menfis Periodicus, nuncu pari folet. Motus hic fic cxempligratia, cx Gina, ex inl. &cc. in Confequentis utita Epicyeli Censrum cumipl Epicyelo ex hic parte defcendat, dum Goneentricns cx adverfa parte defeendit, & Zus Luminis fui augment crefeit Hiaous IIL Morus Lun£ Irstus In ErrcyTretus c Lo regulatiter circh Punffum L oppofitum Eccentric Lusa. GOMN, centroF. quotidic graduum 13. & minuto oppofitum e exhibet, quando lincacx Centro Hundi ufquead Zodiacum ita producitur,, ut Epicyelsm L1 con tingat, Giveattingat RG. Erowcatro Lunz A SoLE qu oftendit Linea punétisnotata , & ex Centro Lune R in Epielo 11, ufque in Centrum Epicycli L. five in Apogeu Eccentrici G. perduti RP. DisTaNT1A LuNs A3 Ar0GAo0 Durrum ELONGATIONIS A SoLE Ha Lineatranfverfa , punitis depica, e Centro Lune in Epi rum feré 4. ita ut Periods fuz finiende infumat dies 27 oelo 1. in R veefantis , ufque in Centrum Eccentrict Lines in Lined Apfidum concurrentes & coincidentes Centram Epicyeli & Apogaum Eecentrici in nno eod:mau horas 13. & minuta ferd o. Motus ipfe it Supernd in Ante- protrahitur, atque Priaris Lines Longitudinen: bis conticedentityut cx P in Q, ex Q in K. Infecné in Confequentia, nct. In Sole Anomaliative Argumentum; hic Lune Centru appellatur utex R, inS, ex S in P. &c Qaa. Proffapherefisfiveadditio, & ablatio & egirsQuando Centrum Epicyeli, & Apogeum concurrunt, a conjunguntur, utin Zpicyelo ], fitin G, & in Epicycl V 5 tio Gentri, Areus hic dicitur, qui additus ad Argumentu ine, azque ita in priorc Cancri, in pofteriore Capricorni Medium, fi Centrum Lune minus {ex Signis fuerit, & fub initio un fubfun, it ut S/ fupponatur in Cancriinitio tradlusab Argumento Medio, f idem Lunx Centrum fo verfari, atque in codem Signo cum Luns ConjuncFioner Signis majus extiteric, Argumentum yerom dabit & cum cidem , in oppolito Capricarni Signa verfantc YX, AquaTio ARGUMENTI &contmri Linesum Oppofitionem cfficer . Linea pedii Motus Solis in B. exi- fabtrahitur, § Cemtram Lane ©ex Signss minus fueric, fi oncurfus, \Cntis, Linea Medii Motus Lune , Linea Mot Apogeis & Li- ‘majus, additur 21 nea Motus Veri ity unam candemaque Lineams Apfidums A Obferyandum hic, nullam omnind Proffapherefin, oc- 0% $G QB coincidunt. 1deohic neque Profiapharefis, ne- cuxcere, quando Epicyeli Centram cum Ecceririci dpoge etiamnulla que Eiquatio Arguments, neque fimili alia his Motibus & Perigeo unum idemque exfiftits Sicu convenientia Accidentia locum habent guatiolocum habet, quando Lua in dpogeo At Perige BQGSEA. aotus dpogei, Motus Medi, Motus Veri Epicyelifui conllituta cft, quod apparet ex Epicyelo L. ub Pundl L U N 4 Puntfo G coneutrunt, & Luna in Apageo Q. Bpieyelifisi A & Aroszum EcocrNTRIGT qu e qqir haxet. Hocctam (icin Epicyels V. inquo Apogeian Eccer: iter foum promovic, Centro Eecentri i intcrch ex b in T arici& Centrum Epicycliin ¢ conjun@acemiintur, & Luna Profect Centro Epicycliex kK in + delato, dum Li itidem in Apoges(¢ confpiciendam exhiber, quodpari ra- ex in Q, proceflit, pleno fplendore fua lucisZerrenun tionede Perigessintelligendum eric, quando Zuzain PeriGlob llumina s. Adhanc metam Crefeens Zimapropegeisy & M. commoratur, Porrd Proffapherefls maxim xat, donecplenum fuum lumen in oppyfrione ol recnpeeft fu autr infra LINEAM MEDIARGM L0 xat 3 quarurfhsdifeedens paulatim Lume ciTupinum, CAE, utin Ep o ad cxcroll, ub Noviluniumin Conjunctiane cum Sole ficiendamitten um foftin Maxixa ProffapherefisQaa, inErr yor 1V LUN CRESCENS igitur hactenu Maxisa PROSTAPHERE S 15 five mgustCo midid Figure hujus Parse inter Noviluminm in E »fiic1 eyin cpDi-o T.UN #7i Q c. queitaquoque fehaberin Er1cv c11s i CREV pleyilu ium in Exxcxcxo V. wibus Epicyeis & VIIL Equati drgumensi Maximactt, quando Cen adumbraa, nimirum Eerevero 1: Ericyer srum Epicycli cltin Perigao Eccentrici Lipa in conta@ LIL&Ericycro IV Peripherie Epicycli, & Linex duta ex, acCentr pund A u LUNA DECRESCENS fequitar, in Dimidi hic in Epicyelo 111, ubi LunA Bisz 4 in Perige Eigure hujus Parte inter Novilunium & Plenilunin riibus P&LUN Epicycli in S. & Centrum Epicycléin Perigeor Eecentri S i | & Epicyel T E RS 0% R lince ex Centro A deduétz; ur A, dd. & A, cc. Ef g C.dd MRquaTio ARcuMENTI MaxiM4, C,cc. BouaTio ARcuMENTT Maxi1 A qui duo dremshicinErxcycr 1 &inErp1crcro VII occurrunt, & maximas equatio es defigoan Praterea ipfi Diamieter Epicycli cxiftentis in Perigeo Fecentriciapparctmajor,, quam cum Epicyclus idem in Apage conftitutu ey ut docet diferimen inter Arcu ce. C, dd, quem Diamerer occupat in Periges, &Zodiac £ B, 25, quiin Apogeo cernitur. Idpropeer tota Areu diverfita fiibui (olet in particulas 60, quas appellant ferupul , f minuta proportionalia, ut proportione diverfica tut, quod ad drgumenti eAiquationem cohgruumis eft,adjiciaErrexs - Er1cxcrusILL Monttrans Eccemricars cum Epicyel cbur 1L in Perigeo "llmnuqur. EcceNtrRicus EricrcrL S.LuNa Brsecza inPefig Ba. Linea AP0 r1, hujus o.Eccentrici B. Centram Eccentrici hujus 9. Apageum gjusdem Eccentrici. Hoc promotum efte Q_Epicycli L ind, ubi Apsgenm Eccensrici, Epicycli11 exd portoin q. Apsgenm Epieycl 111, & ficin Ansecede #iapersexic. Centrum Verd Epicyel;in Confequentiaprogrediendoin Eccentrico ex Qpervenitin a, Epicyeli 11 & in 1 Epicyels 111 Lunaverd fapernéin dnsecedentia (& moye doex Qin R proceffic, utin Epiyelo 11. apparet, inde ab R in'S. in Confequentia (ccontulit, ot in Lpicyelo 111 cemitur. Crefeendo igitur Luza cx No v iLunto quodinErrcvero I LiteraB. monftrat,fic Favca A quamin Erx cxcr o 1L litcra R oftendit ditBisecra, qualem in Ericvero I1L indeev liwera S am exhibe Ericr- fpeftan Errcy ru 1V Lux Grsso cLualv kk, 1l,mm, nn, 00, pp,qq, rr. EcCENTRIcus Errcyerr 1V P. LuxaGrusosa, cefcendoad Pleniluniu properans . bh,qq, Lixea Arooss, five Semidi mere hu juS Eceentrici b Centrum ejufdem Eecentrici 99 dpegesm ciufiem ecentric qinqq. progeellumclt, Centro Eccentrici ex £ in,quode hh promoto, du inerim Centrum Bpicyeli ex | in k X teanfivic ac Lumac S. in P. migravit ErrcyErrcyciu V.PLENILuUNTI etus V EccENTRICUS DEFERENS Evrcrciu PLEN1LuN11, quibis ifis verbis circumfe iptis u 7 032 defignarur. S literis 4 QD. PLEnituNIuM LunZ Sor: OrrosiTaE ¢ML LINEA Avocat five Semidiameter huju Eccentrici LAFy. Aler Semidiameter ciufdem Eccentrici EMLAFy. TotaDiamerer dici Eccentrici L. Contrum cjufdem Eecensri defignata, videlicet Er1 cver V1, Epas' o cxcro VIL &Errcycro VII Eeic cLus VL Lunz Ginsosi DureErtchu ers V 55, tt, U, XX, yY, 22 EccENTRIcus Epicxcry, V R. Luxa Grovosa decrelcendoad Novilunium & Conjundtionem cum Soleiter facicns VY, ii LINEA AvoG &1 five Semidiamerer huju Eccenrici ii Cemtrum hujusipfivs Eccentr Y. Apogenm ciuficm quodex ¢ in yy progrefli fi6l Becensrict {ui Centrum ex L in i, fecum abripic , atqu Epieyels Centrimex win s dimiteit, dum Zuma ex Qin R delaa Gibbofa eyadic frEricycius VIL LuNs Bisscr & Dere EncrCLusvi . aaa,bbb,ccc,ddd, fff g, g hhh;iil,EccE nTRicus Errcycrs VI S. LuN a BrszcTa, lunen diminuendo, ad Nowilunium difcedens, utcum Solefe conjung t fff,a. L1NEA Av0GAT five Dismeter Evcensric a. Centrum Eccentrici £££, Apogaum iplivs ex vy in ££F emillum, cum Centr fuo cx i1 in tajeto, & Epicyeli Censro ox ss in aa ablegato, dum Zuna cx Riin $ (¢ conferr, & ifectam Figuramacquiric Evicycius VIIL LuN £ FALCATE De-Ericrcrefcentis kkk, 11, mmm, nnn, 000, ppp; qqqs rrr. crusVi EcceEnTricu Ertcycr VII P. Luna FALCATA fplendorcm fuumpaulati penitusamitrendo falcis figurd acquified denominatur, it Novilunio cum Sole conjungi geftc mmm,sss, L1Nza Avoc 21 five Dismere Eccentrici sss. Centrum Eceentrici mmm. Apogear Eceentrici, quod ex £fin mm dimorum, fecum ducit faum Gentrum ex o in sss, intetcadum Epicyeli Centyum ex aaa, ink kK abic, & Zun S, in P, tradu@a Falcis figurd apparcr. Hincad Gonjun-e ionem cun Sole Lums xedit & Eccentricus cum Epicyel in Lineam Apfidum revertitur, Lineeque Medii & Vers Mo 43 concurrunt, utex ipfa Figura patet Centrum igitur Epicycl, Apagenm Eccentrici in Conjundtione & Oppofirione omni media cum Sole, femper occupat, ac Perigeum in Quadratnrit, & xeliqua loca pariproportione intermediis temporibus obtinet, aded ut bis i Mene totum Eccentricum pecurrat Corpus Luns defccndendo ex Q in Epicyelo 1. in = EpigelilLacindeino EpicyeiL 11, acporroex hoc in = £pi<cli V. venitin Gppoftionem cum Sole: Rurfus ex 4 ve Qhujus Epicyel V. afcendendo in § Epicyeli V1. indei % Epiyels V1L arque ulterius in . Zpicyclé VIIL, ind in QEpieycli 1. ad Conjunétionem cum Sole redit. In ha Defeenfione & Afeenfione Speciem quandam Ellpfeos fiv Ouate Linee delcribit. De Motw Longitudinis Lune qu di ea im fufficerein s prafentid arbitramur, De Laisudinds aos paucaexponcnda reftant M MOTU |
