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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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260
PHIILOSOPMLE NATDRALIA
DEMorD Corol. 2. In Syltemate vero trium corporum Z, P, S, Si actracti-
Corronon ones acceleratrices binorum quorum cunque in terrium sine ad invi-
cem reciproce ut quadrata distanciarum; corpus P, radio P T, are-
am circa corpus T, relocius describet prope Conjunctionem A ec Op.
policionem B, quam prope Duadraturas C, D. Nlamqueris omnis
qua COrDUS P UrSCEUT dE COrDUS F non urgetur, quaeque non asit
secundum lineam P P accelerat vel recardat descripeionem arexe
perinde uc ipsa in consequentia rel in ancecedentia dirisitur. L’alis
CA vis NM. Hlaec in transitu corporis P a C ad A cendit in con-
sequentia, morumque accelerat; dein ulque ad D in antecedentia,
ex motum recardac; cum in consequentia usque ad B, ec ultimo in
ancecedentia eranseundo a B adC.
Corol. 3. E.C eodem argumento patet quod corpus P, eaeteris pa-
ribusi relocius moretur in Conjunctione et Oppostione quam in
Duadraturis.
Corol. 4. Orbita corporis P, caeteris paribus, curvior est in Oua
dracuris quam in Conjunctione ec Oppolitione. Nlam corpora re
lociora minus deAcc-
cuntarectocramite. LF
praeterea vis RL. vel
NM in Conjunctione
ec Oppolitione, con-
eraria eA vi qua COr-
DuS FtrahiE COrDUS P.
adeoque rim illam mi-
nuit; corpus autem F
minus dellectera recto
tramite, ubi minus vrsetur in COrDUS I.
Corol. 5. Unde corpus P, caeteris paribus; lonsius recedet a Cor-
Pore T in Ouadraturis, quam in Conjunctione ee Oppolitionc. IIac
ita se habent excluso mocu Pxcentricitatis. Nam si Orbita corpo-
rIS P excentrica (IC: Lxcentricitas ejus (ut mox in hujus Corol. 9.
odtendetur) erader maxima ubi Apsides lunt in Syzygiis; indeque
tieri pocest uc corpus P, ad apsidem summam appellans, ab (uc lon-
Sius a corpore  in Sy2rgiis quam in Guadraturis.
Corol. 6. Ouoniam vis centripeta corporis centralis Y, qua cor-
DuS P recinetur in Orbe suo, ausetur in Ouacraturis per addicio-
nem ris. P. MI, ac diminuitur in Syzy giis per ablacionem vis RL, e
obmagnicudinem vis R L, magis diminuitur quam augetur; est au
tem ris illa centripeta (per Corol. 2, Prop. LV.) in racione compo-
sica ex ratione simplici radii F P directe et ratione duplicata tempo-
Lac