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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 198, page id 1041163592:0232
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PTTTLOSOPMLA NATDRALIS
Corol. 1. Unde a Solidum
Cylindrus sic, Parallelogrammo
AD F. B Circa aXCM AB reVO-
luto delcripeus, ec vires ceneri-
pecae in lingula ejus puncta ten-
dentes sint reciproce ut quadra-
ea dictantiarum a punctis: crit
attractio corpusculi F in hunc
Cylindrum ut AB-- F F. + D D.
Nam ordinatim applicata FR
(Der CorOl. L. PFOD. ZC) CTIEUET -
ritudinem AB, describit arcam IZ AB; Sc parS alCcla
Cucla
in longicudinem F B, describit aream + in F F = AD (id quod
ex CUEVX L. IK quadracura Facile octendi potest:) de similiter pars
eadem ducta in longitudinem P A describit arcam F in F D - A D.
ductaque in ipsarum F B, F A differentiam AB describit arcarum
differentiam + in Z F = F D. De contento primo 1 X AB aute-
ratur contentum postremum r in Z F. = F D, S restabitarca L. AB1
aequalis + in AB - PF + P D. Ergo ris, huic arex proportiona
lIs, eAt ut AB = P F. + F D
Corol. 2. Tlinc etiam
vis innoteseit qua Sphae-
rois AG BC D actrahie
corpus quodris P, exte-
rius in axc UO AB A
EUM. SIE NK R NISC.
etio Conica cujus ordi-
narim applicata F R, ipAI
D F perpendicularis, x
quecur semper longitu.
dini F D, Quae ducitur
ad punctum illud D, in
quo applicata icta Sphaeroidem secat. A Sphaeroidis verticibus ,B
ad ejus axem AB crisantur perpendicula AR, B M ipsiS AP, BF
aequalia respectire, ec propterea Sectioni Conicie occurrentia in R
e M; ee junsatur R M auterens ab eadem sexmentum K M R K.
Sit aurem Sphaeroidis centrum s’ec semidiamerer maxima sC: de vis
in lon-
Ua
juS parS
B
DD MOrD
CORPOLbM