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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 37, page id 1041163592:0071
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se
Dt
LanCi MEAEMLLLE
Scholium.
Orgeri potest corpus a ri centripeta composita ex pluribus viri
bus. In hoc casu sentus Proxostionis ekt, quod vis illa quae ex om
nibus componitur, tendic ad punctum S. Porro si vis aliqua 28ac
perpetuo secundum lincam superticiei descripeae perpendicularem;
haec Faciee ut corpus deftectatur a plano sui motus: sed quancita-
tem Cuperficiei descripexe nec augebit nec minuet, et propterea in
compolicione virium neglisenda cAt.
PROPOSITIO II. TIEOREMA III.
Corpus omne, quod radio ad centrum corporis alterius ut cunque moti
ducto describit areas circa centrum illud temporibus proportiona
les, urgetur vi composita ex vi centripeta tendente ad corpus il-
lud alterum, es ex vi omni acceleratrice qua corpus illud alterum.
urgetur.
Sic corpus primum L de corpus alcerum P: et (per Legum Corol.
VI.) E vi nova, quae aequalis es concraria Cic illi qua corpus alterum
Purgetur, urgeatur corpus urrumque secundum lincas Parallelas;
perset corpus primum L. describere circa corpus alterum Y arcas
ealdem ac prius: vis aurem, qua corpus alterum T ursebatur, jamr
dettruetur per rim sibi aequalem de contrariam; ec propterca (per
Lc5. 2.) corpus illud alterum Y sibimet ipsi jam relictum vel qui-
escet vel movebitur uniformicer in directum: de corpus primum L
urgente difterentia virium, id est, ursente vi reliqua perget arcas
temporibus proportionales circa corpus alcerum T describere. Pen-
dit isicur (per Thcor. 12.) disterentia ririum ad corpus illud alce
rum PUE CentruM. d. F. D
Corol. 1. EIinC Si corpuS unum L radio ad alterum Y ducto de-
Scribit areastemporibus proportionales; aeque de ri Fota (sive sim-
plici, sire ex viribus pluribus, juxta Legum Corollarium secundum,
compolica,) qua corpus prius L urgetur, subducatur (per idem LC-
sum Corollarium) ristoca acceleratrix qua corpus alterum urgetur:
vis omnis reliqua qua corpus prius ursetur cendec ad corpus alte.
rum T uc centrum.
Corol. 2. FE, s arex illae sune temporibus quamproxime proxor
tionales, vis reliqua tendet ad corpus alterum P quamproxime.
Corob. 3. Ec vice rerta, si vis reliqua rendit quamproxime ad
COrPUS
EABEB
PRIMDS