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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 95, page id 1066518432:0123
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DE VTRIBOS ET NIOTIBOS CORPORDM. LIB. I. 95
P = AO: AF, hinC AFE: AO = PE: P2 =2AC. P + AC, e diri-
dendo FO: AO = 2AC. P - AC: P - 2AC. P + AC, _ FC;
AO =Y (2AC. P = AC): P = AC = Fb: BP: adeoque, Si diCaNtUE
AC, a; CD, _; DB, Y; Fb, dy, exit p = V ay, ec 2pdp = ady
e FC: AC =Y (2AC. P = AC,): P- AC, het in his Cymbolis dy:
dx = Y (2ap = 44): P - a, er8O pdy - ady = dur (2ap - a4), vel apdy-
rady = 2pPdp  2ap dp = ad Y (2ap - a4), acque adco dx = (2ppdp -
2ap dp: aV (2ap = a4)) quae utatur in dx = (9dg -= a d9): 2a, cu-
jus incegralis eAt 10a2X = g -5a9 + qu E Ccilicet politum FuerIE
g = Y (2ap = aa) atque retrogradiendo invenietur q = Y (2 aV ay = aa)
atque adeo aquatiO CUEVX QUX(IEX (a4, + (γ = A - V ay) in Y (2aY ay,
=aa) = : ax. Ouod crat demonstrandum.
ol1e
COR OE L A R Y U M.
286. Ouoniam inrenimus BZ: DB = 2AF: MIF _ P: CA = AF:
ME, vel 2P: CA = QAF: MIE; erit pariteE 2P: CA = BZ: DB X
invertendo CA: P = DB: BZ, atque adco radius crolutae in quo-
libet currae puncto ope hujus analogix innotescit, qux analogia
consentit cum ea, quam TII. Marchio HIospitalius tradidie in Actis
ACad. RCg. ScienE. ParIL. 1700. ab initio.
CAPV F TV
De Solicitationibus centralibus quibus corpora in orbibus
mobilibus detinentur, e de motu Apsidum.
DEF INF YYO.
187. LIL LDE QuNDet orbis immobilis, cui fgura abe similis & FiB. 45.
aequalis dicatur orbis mobilis, quia circa punctum C ad
quod solicitationes centrales diriguntur, reapse moreri intellisen-
dus est, ea tamen ratione ut angulus ACa, quem axis ejus ae aliquo
tempore deseripsit, sit ad ansulum aCb, quem arcus currxe mobilis
ab a mobili in curra incedente eodem hoc tempore delcriptus sub-
rendit, in racione data. Axis ae mocus, dicitur motus ApGidum.
O.