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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 98, page id 1066518432:0126
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98 DE VEREBAS EF NIOTTBUS CORPORUM. L. IB. I.
punctorum b, B, A; Syrantium per cfb, ofB, cfA, ac denique (0-
dicitationes centripetas in iisdem punctis per, cpb, cpB, cpA.
Jam L. quia relocitates radiorum Cb, CB lune ut ansuli codem
tempore ab ipss delcripti, erit ub: aB = ang. bCh: ang. BC HI
(5. 288.) =F: 6, ergo (nb) : (uB) = F 2: C. Atqui in circulisx.
qualibus conatus centritusi sunt in duplicata ratione relocitatum,
ergo cfb: cfB = F2: C, et diridendo cfb - cfB: cfB = F - C: 6.
II. Porro cum in orbita quielcenti aequalibus temporibus equa-
les areolae BCD rel BCFI, et ACa describantur, relocitates radio.
rum BC, AC hisce radiis erunt reciproce proportionales, hoc eAt
UB: WA = AC: BC, ec (AB): (nA)  = RC: BC2. atqui. (5. 183.
aequ. T.) CA (MB) =BC. cfB, _ (WA) = AC. cfA. ErBOBC. cfB:
AC. cfA = AC: BC, vel etiam ductis in hac ultima analogia an-
recedentibus in AC ex consequentibus in BC, critque AC. BC.
efB: AC. BC. CfA = CfB: CfA = AC: BC, verum (num. Y.) crat
cfb - cfB: cfB = F2- C: C, ergo per rationum compolitionem e
Cx aequo fiet cfb = cfB: cf A = (F: - C). AC: G. BC POrrO quia
(5. 183.) (nA) = AC. ofA, et (5. 254.) (VA) = AO. CpA, exitten
te AO radtio circuli curram ABR in puncto A osculantis, exit AC.
cfA = AO. CpA, atque adco cfA: cp A = AO: AC; ergo denuo ex
aequo cfb = cfB: cpA = (F = 6). AC. AO: G. BC; atqui per
PFOD. PEaC. CA cfb = cfB = cpb = epB, ergo excestus Colicitationis
centripeta in b Colicitationem in B, cA ad Tolicitationem centripe
tam in A, in compolita ratione, ex ratione L-  ad 6 e ratio.
ne solidi AC. AO ad solidum BC. Ouod crat demonstrandum.
C O R O L L A R L W M L.
292. Tac  Quolibet puncto b orbitx mobilis abe, solicica-
eio cencralis exit ut cpB, + (F = 6). AC. AO. cp A: C. BC.
CO R OL. L A R 1 u n II.
293. FIInC SI OrbITa ABF, abe, fuerit eMliptica, ita uE CpB: CpA
=AC: BC, atque adeo epB = AC. ep A: BC, erit cpb = AC.
ep A: BC, + (B, = C2). AC. AO. CpA: O BC3.
S CH O L 1 6 N.
Lequ Larenca sam deneat le Conclla Cmbla O
bit