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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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11
PRINCIPTA MATHEMAIIOM
dentibus Corollariis: manifectum est quod eftectus illi omnes, Itan- L IBEK
te corporum Z de P Sectemate, et mutatis tantum distantia SF ee Prrmos.
ri absoluta corporis S, sinc quamproxime in racione compolita Cx
ratione directa vis absolurae corporis s’ec ratione triplicata inverla
distantiae ST. Inde si Sycema corporum T _ P rerolvatur cir-
ca corpus longinquum S, rires illae NVMI, MIL. d carum eAfectus
erunc (per Corol. 2. ex 6. PFOD. IV.) reciproce in duplicata ratione
temporisperiodici. Ec inde ctiam, si magnieudo corporis S ProPOr.
tionalis sic ipsius vi absolutae, crunc vires illae NV M, M L st carum
etectus directe ut cubus diametri apparentis lonsinqui corporis s’c
corpore Y Spectatis ex vice verla. Namque lxe rationes caedem (unE
atque racio superior compollca.
Corol. 25. F.F quoniam si, manentibus Orbium L.SF. ec P AB
Formas proporrionibus ex inclinatione ad invicem, mutetur corum
magnicudo, ec si corporum Set F vel maneane rel muteneur vires
in data quaris ratio.
ne, hae vires (hoc eA,
viscorporis T qua cor-
Dus F de recto trami
ac in Orbitam F AB
deRlectere, ec vis COr-
Doris S qua corpuS
idem F de Orbica illa
deriare cositur) agune
semper eodem mo-
do ex eadem proportione: necesse cst ue similes _ provortiona-
les sine eRectus omnes ex proxortionalia erectuum tempora; hOc
CA, DE CrrOreS omnes lineares sine uc Orbium diametri anoulares
vero iidem qui prius, ex errorum lincarium similium vel angularium
aequalium tempora uc Orbium tempora periodica.
Corol. 26. Onde, si dentur Orbium Formae ec inclinacio ad invi-
cem, ex mutentur urcunque corporum magnicudines, rires de di-
stanciae; ex datis erroribus ex errorum temporibus in uno CaTu, col-
ligi POTTunE errores ex errorum tempora in alio quovis, quam pro-
xime: Sed brevius hac Methodo. Vires NM, ML, Caeceris Aap.
EibUS, sunE uE Radius T F, ex harum eRectus periodici (per C orol. 23
L.Cm. X) uc rires ec quadracum temporis periodici corporis P con-
junctim. Hli sunc errores lineares corporis F; ec hInC CrrOTES an
Sulares c cenero T spectari (id cAt, tam mocus Augis et Nodorum,
quam omnes in Lonsicudinem ec L atitudinCM CFrOTCS ApPATENTES)
sune, in qualibet revolutione corporis P, ut quadratum temporis
rCVO.
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