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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 96, page id 1066518432:0124
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F1B. 45.
96 DE VERIBOS EFMOTTBOS CORPORDM. L. 1B. I.
COR OE L A R L u _ I.
188. Ouia angulus aC A ponitur ubique ad angulum bC a in da-
ta ratione, etit etiam componendo angulus bCA ad angulum bCa,
vel descripto per orbis mobilis punctum b circulo bB immobilem
orbem sccante in puncto B, angulus bC A ad angulum BC A in da.
ta ratione. Cum Illustri Nertono nominemus rationem anguli BCA
ad arigulum be a aequalem datae I adt (5.)
C OR OE L A R X U M TT.
189. Cum mobile a, orbem mobilem abe circumcundo deseri-
bens, duplicem habeat motum, scilicet cum, quo in luo orbe mobili
incedit, tum etiam motum ipsius orbis, ex gemino hoc motu li.
quet compolicum iri mocum secundum lineam curram ANIB. Id.
circo idem est, si mobile in curra immobili ANb moretur, quam
si in orbe mobili abe incederet, ex ris centripeta aut solicitatio cen-
tralis in currae AIIb puncto b requisita prorlus eadem erit cum ca
qua opus est ut mobile in curra mobili abe semper incedere pol.
sic absque co, ut unquam a curra ab recedat, durante motu plani
ejusdem abea. Propterea ad determinationem Colicitationis Centra-
lis, quae corpus semper in perimetro orbitx mobilis retinere pol,
tantum quaerendta eset exprestio solicitationum centralium pro sin-
sulis currae immotx ANb ex duplici motu relultantis, scilicet ex
motu orbitx ex ex motu corporis in orbita, punctis; ut Ccl. V a.
rignon id cgit in Actis Acad. Scient. P aril. 1705. ad d. 5DCC. Ve.
rum, quia tota res non inelesanter ex theoria conatuum centrifugo.
rum derirari potest, id paucis ostendere libet.
PROPOSITIO XXXI. THEOREMA.
290. Fxcessus solicitationis centralis requisitae ad id ut corpus aliquod
in orbita mobili circa punctum C, ut abc revolvi queat, supra solici-
tationem centralem, qua idem corpus in orbe immobili ABF. delatum in
pari distantia BC, vel bC urcetur, aequatur excessui conatus centri-
fuci puncti b, in orbe mobili arculum bh describentis, supra conatum cen-
trifurum mobilis cujusdam extremitati B radii vectoris CB annexi at
que arculum BF describere nitentis eo tempuseulo, quo punctum b suum
arculum bl conficeret.
Duia