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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 108, page id 1041163592:0142
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1. 00
PHILOSODHILE NATVRALIS
PROPOSTTTO XXXIV. THEOREMA X.
Si Figura BF. D Parabola est, dico
quod corporis cadentis Veloci
tas in loco quovis C aequalis est
velocitati qua corpus centro B
dimidio intervalli sui BC Cir-
culum uniformiter describere
potest.
Nam corporis Parabolam
R F B circa centrum S deseri-
bentis velocitas in loco quovis
F (per Corol. 7. PFOD. XVF.) X-
qualis est velocitati corporis di
midio intervalli SF Circulum cir-
ca idem cenerum s’uniformitee
describentis. Minuatur ParabolX
lacitudo CF in infinitum co, uE
arcus Parabolicus PfB cum rCC-
taCB, centrum S cum vertice B,
A
e interrallum SP cum incerrallo BC coincidat, et constabie Pro-
DOHtiO. Q. F. D.
PROPOSITTO ZZEV TTTEOREMA XI
isdempositis, dico quod area Figurae D ES, radio indefinito SD de
scripta, aequalis sit areae quam corpus, radio dimidium lateris recti
Fieurae DES aequante, circa centrum Suniformiter egrando, eo-
dem tempore describere potest.
Nam concipe corpus C quam minima cemporis particula lineo-
lam Cc cadendo describere, ee interea corpus aliud K, uniformi
ter in Circulo ORk circa centrum s’grrando, arcum Rk delcri-
bere. Frisantur perpendicula CD, cd occurrentia Figura D FS
in D, d. Junganeur SD, Sa SR, St e ducatur D d axi AS Oc.
renS in F, ec ad eam demittatur perpendiculum SJ.
).
DE MOrC
LOxPOKDM