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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 290, page id 1040780814:0308
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ASTRONOMLA LA 15FCX.
290
eb: praedicta Cl ruCS
centripeta TUnE AE R CKCD
_ Cbg. Si sata Capian-
tur cognita quantitates
F e c in ea ratione ad in-
ricem quam habet anou.
LuS AYF ad AFB, hoc CA
quam hrabet he ad ce
erit cR ut C F F, _ cB ut
C = F: Adeoque differentia
Virium centripetarunr
quibus corpora in OrDC
immobili et mobili in B
_ b urgentur, es ad Vim
centripetam, qua COrpuS
motu circulari moreri po.
test ab  ad B codem tem.
Pore quo L. deseribit ar-
Cum L. B, SICut C F F x C -F ad Fg; id cA, ut ∞9 - F9 ad F9.
L RMMA.
Tcorpus ad umbilicum e cen centrum tendens describat
lipsin ABP, cujus apsides Ae P: Vis centripeta, qu’a corpus it
apside a urcetur, est ad Vim centripetam corporis alterius, in cir-
culo AEH ad eandem distantiam r a eadem cum velocitate revol
ventis, ut diameter circuli ad latus rectum F. llipseos.
Per a ducatur recta AC ad A Y normalis, qua tam circulum gNaM
Fillipem continget. Pex punctum a ipsi a proximum ducatur recta
CFB versus T, circulum in F, FIlipun in B intersecans.
naSCenteS arCUS AB, AF. Sint proxime aquales, COr-
Pora aquirelocia ex a simut digresta ad B _ F (I.
mul pervenient: ex illorum vires centripeta sunt
ut harum effectus aB, ∞F eodem minimo tempore
producti. POrrO, ex natura circuli, EL9 = A T X TH,
sire ATr diam. _ ex natura F Ilipseos, BDg = lateri
rector AB (detectus quippe, tire quantitas qua BD9
ilto rectansulo minus est, cranescit in casu praesente,
cum BD nalcitur;) FP rero ex BD nascentes lineola
aequantur: Lsitur AYx diam. cireuli = AD x lat.
rect. FNlipseos: Adeoque aD ad AF, sirc EB ad CF, sive Vis CCn.
triveta in FIips ad Vim centripetam in circulo sicut diameter cir.
culi ad latus rectum F Iip (eoS. O. P. D.
EROPOSTTIO V. LEMMA.
Cib. IV.
PrOP. XXXV. LD. LII.) SCcaa LuD C acacu Quadrato ab
Cumque
Orbis ALP FllipsS s Cajuo latus recoum LL mubilicum ha-
no sem summam a imam P: eique similis es aequalis
Conatur
lib
Ponat
deser
ratio
lid, si
Pusi
Sum, 
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sire.
a
velo
A, et
in B
latue
cirerit
Cum
rentia
Praedi
Ueq
rumm
IV
Dune
dister
ipliuo
Pore
dce
Lore
Duia