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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 211, page id 1041163592:0245
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D F
COREOROM
IBER SFCONDOS
2.72
eRTNCTDTA MAZHEMALICA.
SECUNDOS.
S F C TTC
De Moru Corporum quibus resistitur in ratione
Velocitatis.
PROPOSITIO I TTEOREMA L
Corporis, cui resistieur in ratione velocitatis, motus ex resistentia
amissus est ut spatium movendo confectum.
TAm cum mocus singulis temporis particulis aequalibus amissus
L sic ut relocitas, hoc eAt, uc itineris confecti parcicula: erits
componendo, motus toro tempore amilsus ut iter totum. . P. D.
Corol. Tsitur R corpus, Graritare omni destiturum, in spaciis libe-
eis Cola vi insica moreatur; ac decur tum mocus tocus sub inicio, cum
etiam mocus reliquus polt sparium aliquod confectum: dabitur (p2-
eium eorum quod corpus inhnito tempore describere pocest. Prie
enim spacium illud ad spacium jam delcripeum, ut mocus totus lub
inicio ad mocus illius parrem amictam.
L E MM A I.
duantitates differentiis suis proportionales, sunt continue propor
tionales.
Sit A ad A - B ut B ad B - C ex C ad C = D, _c. ex diridendo
het A ad B uE B ad, C _ C 2d D, _C. Q F. D.
lC 2
PRCL