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Philosophiae Naturalis Principia Mathematica / Autore Is. Newton, Trin. Coll. Cantab. Soc. Matheseos Professore Lucasiano, & Societatis Regalis Sodali
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136]RGg.R F9g.tv.) differentia virlum quibus corpus P in Ellipfi fhmota V PK,& corpus p in Ellipfi mobili zpk revolvuntur. Unde cum(perhanc Prop-_) differentia illa in alia quavis altitudine A fit ad fe-

: eftqg; hzc vis C per hujus Corol,

&... I a Aıpfam in altitudine CZ ut- ad eadem differentia

IAcub. CV eub.?

Gil.RF%#.A)

ın omne altıtudine A valebit R Igitur ad vim Z

qua corpus revolvi poteft in Ellipfi immobili 7 P K, addatur eo

RGJ.- RFY4-. Fq._ RGq.R Fqg.ceffus ab& componetur VOR+ Tea?

qua corpus in Ellipfi mobili vpk üldem temporibus revolvipoflit.

Corol. 3. Ad eundem modum colligetur quod, fi orbis immo-bilis ZVPK Ellipfis fit centrum habens in virtum centro C; eig;fimilis, qualis& concentrica ponatur Ellipfis mobilis© pR, lieq; 2 R Ellipfeos hujus Jatus re&um,& 2 T latus tranfverfum, atq;angulus VCp femper fit ad angulum VC P ut Gad F; vires qui-bus corpora in Ellipfi immobili& mobili temporibus xquali-Fg. A 8 Fq. A KGqRF39.Teub. Tecub. A cub,

bus revolvi poffunt; erunt ut

refpective.

Corol, 4. Et univerfaliter, fi corporis altıtudo maxiıma CYno-minetur T,& radius curvaturz quam Orbis V P K habet in, ideft radius circuli zqualiter curvi, nominetur R,& vis centripeta‚qua corpus in Trajectoria quacung; immobili /P K revolvi po-teft, in loco V/ dieatur£ V, atq; als in locis P indefinite di-tatur X, altitudine CP nominata 4,& capiatur G ad Fin-dataratione anguli VCpad angulum VCP: erit vis centripeta quacorpus idem cofdem motus in eadem Traje&oria& ph. circula-

riter