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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 148, page id 1041163592:0182
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PHTLOSOPEILE NATORALIS
PROPOSITIO LVII THEOREMA XX.
Corpora duo se invicem trabentia describunt, es circum commune
centrum oravitatis, e circum se mutuo, Pieuras similes.
Sunt enim distantix a communi gravitatis centro reciproce prO-
portionales corporibus, acque adeo in data ratione ad invicem, et
componendo, in data ratione ad distantiam EOLAM INECE CORPOra.
Feruntur aurem hae distanciae circum cerminos suos communi motu
angularis proprerea quod in directum semper jacentes non mutant
inclinationem ad se mutuo. Linea autem rectae, quae sunt in data
ratione ad invicem, ec aequali motu angulari circum terminos (uOS
feruntur, Figuras circum eoldem terminos (in planis quae una cum
his terminis vel quiescunt vel moru quoris non angulari moren-
cuT) describune omnino similes. Proinde similes lune Figurx qux
his distanciis circumactis describuntur. 9. F. D.
PRODOSITIOLVII. TIIEOREMA XXI.
Si corpora duo Viribus quibusvis se mutuo trabunt, e interea re-
volvuntur circa rravitatis centrum commune: dico quod Fia
ruris, quas corpora sic mota describunt circum se mutuo, potest
Ficura similis ∞ aequalis, circum corpus alterutrum immotum,
Viribus iisdem describi.
Rerolrantur corpora S, P circa commune gravitatis centrum
es pergendo de Sad F deque P ad 8. A dato puncto s ipsis
S
ini
F
48
DE MOXV
OuvdSM
PP, T Q aequales e parallelae ducantur semper Sp, 59;
Curva
2 quam punctum p, rerolrendo circum punctum immotum si
deleribit