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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 284, page id 1040780814:0302
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284.
ASTRONOMLA PAESTCA
quadraturam in D perVeNtO, MIN Cranescit (quoniaM SR, SL, a
proinde etiam e S A, tunc aequales funt) et proinde Vis per illam
ubique exposita nulli hic sunt effectus: Satelles isitur E reliquis
Viribus agitatus areas per radium rectorem temporibus provortio-
nales nunc describit. DAMLVerO F quadranteM DB peFAOFAL, SM
deticit ab sNr, X Vis perturbans deseriptionem areae per radium
rectorem TE, quo minus sit tempori provortionalis, quae est uE MN,
dircctionem ab m versus Nsiro ab L vertus r (hoc est, in consequen
tia) habet, ac proinde motum Satellitis in illo quadrante accelerat:
Post oppositionem vero in B, L. F tendit in antecedentiam, motum.
que retardat, doncc in quadratura ad c Craneseat rUESUS M N, eju
que proinde effectus ceslent. Pursus, cum Vis mn perturbans de
scrixtionem area quam radius FE verrit, ne SC. HXC (IE teMPOTI
proportionalis, in transitu Satellitis à c ad a, vel d D ad B, perpetuo
augeatur e in c ac B Sic maxima, e hinc rursuS perpetuo diminu-
atur donee Satelles perveniat in D vel c ubi cranelcit; patet Sd
tellitis sic perturbati motum esse relocistimum (caereris paribus) in
Syysiis B d c, tardissimum in Ouadraturis c e D. 1. F. D.
PROPOSITTOTI.
dem positis, Satellitis L. Orbita circa Primaruin ldese a
(caeteris paribus) macis curva est in e D Quadraturis cum 50lb,
quam in SyZysiis C  B.
Cum enim Satelles L. relocius moreatur in SYLy SIIS qua 
Ouadraturis, minus deslectet a recto tramite, quem ri insitâ (ola de
scriberet, in illis quam in hisce; hoc es, Satellitis Orbita minus
curra est in Conjunctione e Oppotitione quam in Ouadraturis. Sed
et majorhac Curredo ex alia etiam causa provenit: Vis ut MN (de
qua PrOP. PTXC.) in Conjunctione e Oppositione ad c _ B Contra
ria eA Vi, qua Corpus Y trahit E, adeoque illam minuit: MinUS
CrSO UESCTUE L VertuS Y ad a e B quam ad c e D; minusque
Propterea a recto tramite deslectet in illis quam in hilco. Satellitis
isitur Via currior cAt in Ouadraturis c es D quam in Syzysiis B eC.
GiOROLLARFOM.
teris parIbuS) lonsius recedere a Primario
r in Ouadraturis quam in Syzygiis. HIOc
pacto Satellitis Orbita circa Primarium F. I. Z
liptica quati ft, cujus centrum Primarius
occupat; major Aris Ouadrata Solis inter-
Jacet, minor Syzysias: sic enim Orbita
currior est illic quam hic. Atque augmen-
tum celeritatis Satellitis prope Syzreias di-
verlum erit in Orbita hac, ab illo quod fuis.
Tet in Orbita circulari Prop. praec. quia Visut
MN Satellitis motum accelorantis aut retar-
dantis directio alia cM in hranc, alia in illam.
LtD. L1.
la pradicts seguuur SatelluemE, (Ca.
conc
euir
loco
de
tur
S
e