uAtuegrqis; eerriitt iunt dteamtap ruast ipoenreio addi cmuCom tu >cmo8r 4pm o]erdisi um Nodorum; & motus Ptemporis periodici corporis direZe & quadratum SExcentricitatem & Inclinatione imnvOerrbfei.s Augendo vel minuendo P A B tus Augis 8 nonmutantur tno- cmagn*. Nodorum icnfibilitur, nifi ubi e*dem funt nimis Corol. 17. Cum autem linea L Mquam radius nunc major fit nunc minor P S, Exponatur vis mediocris L Milium per radium P S, &erit h*c ad vim mediocrem Q K vel Q N exponere licet per ( quam QJ> ) ut longitudo P S adlongitudinemEft autem vis mediocris QS. QN vel QS,orbe fuo circum qua corpus retinetur in Q_, ad vim qua corpus Pbe fuo circum retinetur in OrS,
in ratione compofita ex ratione radii Q S radium ad P S, 8c ratione duplicata temporis periodici corporis circum P S ad tempus periodicum corporis S circum Q^quo, vis mediocris Et ex aeL
M, ad vim qua corpus Pfuo circum retinetur inr Orbe S ( quave corpus idem Pcircum punZum quodvis immobile eodem tempore periodico S ad diftantiam P Spoflet ) eft in ratione illa duplicata periodicorum tem proervuomlvi. Datis igitur temporibus periodicis una cum diftantia P S,vis mediocris LM; 8 datur c ea data datur etiam visMNper analogiam linearum quamproxime P S, M N.
Corol. 18. Iifdem legibus quibus corpus Prevolvitur, fingamus corpora plura fluida circu mci rciudmem c oSr padu s S qfluaaril esa nanbu ilpufmo dfilfutaidnutimas, mrootvuenr di;u dmei nadc e ceoxr hpios rcio nriguis faZisconx-- S& fingul* annuii partes, motus fuos omnes ad leg ceomn oceonrtpriocruism ; ptuerr ainge Cnodnoj,u pnrZoipoinues &ac cOepdpenotf iatido nceo rippufasr uSm', &8 celerius movebunP- c corporis Q,in Quadraturis. Et Nodi annuii hujus feu inierfeZione sq ueajums cum piano Orbit* corporis Qvel S,Syzygias vero movebuntur in antece dquenictficae,&nt vienlo Scyifzfyimgieis q; ueidxetrma in Quadraturis, tardius aliis in Iocis. Annuii quoq; inclicnoamtio-
variabitur, 8 [ > 8 5 ] . cpletaq; revolu taixoins ee juasd fipnrgiuftliinsu rmev ofliututimon ibreudsi boiftc, ilnlaibfii tuqru, atceonmus- per pr*ceffionem Nodorum circumfertur. Corol. 1 p. Fingas .jam globum corporis Sida conftantem ampliari 8 ex materia non fluc
extendi ufq; ad hunc annulum, 8cveo per circuitum excavato continere Aquam, motuq; eod eaml
vpiecreiso daicccoe lceirractau sa x8em fuum uniformiter revolvi. Hie liquor per c retardatus ( Syzygiis velocior erit, in Quadra utut riisn tfaurpdeiroiro rqe uLaemm mfuapteer fJic) ieins Globi, 8crevolvendo ficci rfclua eGt lion bail vceeon trreufmlue qtqu;i eafcde nms,o dfui mto lMlataurirs . attrAaqZuioa Q, nullum acquiret motum fluxus 8cuniformiter progredientis in direZum r 8eflnxus. Par eft ratio Globi cca centrum fuum interea revolventis cir(_
per Legum Corol. 5 ) ut 8creZilineo uniformiter traZi ( per Legum Corol. 6 Globi de curfu .)tem corpus Accedat auitur
Aqua. Eteni m& m aabj oipr feiursit iant*tqrauZaiboi lai qatut*ra pZrioopnieo rmis,o xm tuinrboar beia- remotioris. Vis autem L Mturis, facietq; ipfam defcende rtera uhfeqt; aaqdu Saymzy gdieaosr; f8iim in QuadracvisKLeandem
furium in Syzygiis, fiftetq; defcenfum ejus 8 trahet cfam afcendere ufq; ad Quadraturas. faciet ipCorol.
20. Si annulus jam rigeat 8cbit motus fluendi 8 minuatur Globus, ceiia- cmotus 8 refluendi; fed Ofcillatorius ille inclinationis cdem axem p rc*ucmei faion nNuolod,o gryurmof qm; acnoembpulneta-t iiHfdaebme atte mGlpoobruibsu se,u n&- fuperficie fua contingat ipfum interius, eiq; inh*reat; 8cpando motum ejus,compages utriufq; Ofcillabitur & Nod pi arertgircei-- pdrieeniltiounr.e s oNmanmes iGnldoibftuerse, nus te fmt. oxA dnincueitiu Gr, loabdo fourfbciaptiie nmdaaxsi mimus- ignrceldiniia Ntioondios raunmgu aluds eQftu audbri aNtuoradsi fcuonnta itnu rS iysz yingciilsin. atiIonndeem in i uparmo
minuere, 8cGlobus mot uimfto i mcporneaftluum m outfuqm; dimumpr iamnnitu Glulso bcoo ntaotuti . coRnettrianreiot A a mo