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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 122, page id 1041163592:0156
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PFTILOSOPMLLE NATDRALIS
Dr Horo Derimetro Figurx revolventis uC p, eodemque tempore describet
OKPORVN
arcum ejus up quo corpus aliud P arcum ip si similem de aequalem
P in Figura quiescente V P R describere pocest. Ouaeratur igi-
tur, per Corollarium quintum propositionis vi, Viscentripeta qua
corpus revolri possit in Curra illa linea quam punctum p describit
in plano immobilis es solretur Problema. Q. L. F.
PROPOSITIO XLIV. THEOREMA XIV.
Differentia Virium, quibus corpus in Orbe quiescente, e corpus a
lind in eodem Orbe revolvente aequaliter moveri possunt, est
in triplicata ratione communis altitudinis inverse.
Partibus Orbis quie-
(centisr F, P R TuntO
similes ec aequales Or-
bis revolventis partes
up, pk; ec punctorum
 K distancia incelsi.
satur esse quam mini-
ma. A puncto kin re.
etam pC demitte per.
Dendiculum er, idem-
que produc adm, uE (IE
mr 2d r ut angulus
Cpad angulum VC L
Duoniam corporum al-
citudines PC _ pC, KC
et l C Temper aequan-
decrementa semper sint aequalia, ideoque si corporum in locis
P ec p existentium distinguantur mocus linguli (per Legum
Corol. 2.) in binos, quorum hi vertus cenerum, sive sccundum
lineas PC, pC decerminentur, ex alteri prioribus eransversi sints
e sccundum lincas. ipsis PC, pC perpendiculares directionem
naDeant; motus versus centrum erunt aequales, de mocus trans-
versus corporis p erit ad motum trantrersum corporis P, ut mo-
cus angularis lineae pC, 2d mocum angularem linex P C, id eAt,
tur, manifectum est quod lincarum FC ec pC incrementa vel