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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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8
DHILLOSODEILE NATORAETS
ARLOMATA HvEaE Patum Cuum; e reliquorum, quibuscum actio illa non in-
tercedie, commune gravitacis centrum nihil inde pacitur; distantia
durem horum duorum cenerorum dividitur a communi corporum
omnium centro in partes Cummis totalibus corporum guorum
Tunt centra reciproce proportionales; adeoque ceneris illis duobus
ctatum suum movendi vel quiescendi Terrantibus, commune omni-
um centrum servac etiam Racum luum: manifestum est. 9uod com-
mune illud omnium centrum ob actiones BinOrum COrPOrUM InFEF
se nunguam mutat Racum Cuum quoad morum ee quierem. In cali
autem systemate actiones omnes corporum inter le, vel inter bina
Tune corvora, vel ab actionibus inter bina compolit; dE propterca
communi omnium centro mutationem in Hatu mOTUS ejuS vel quie-
eis nunquam inducune. Duarc cum centrum illud ubi corpora non
agune in se inricem, rel quiescit, vel in recta aliqua progredicur uni-
Formiter; perget idem, non obstantibus corporum actionibus inter
Ses vel semver quiescere, vel semper progredi unitormiter in dire
ctum; nisi a riribus in CyRema exerinsecus imprestis deturbetur de hoc
CtaEU. EC igicur (y Rematis corporum plurium L ex eadem quxe cor-
Doris lolitarii, quoad pertereranciam in itatu mocus rel quiecis. Mo.
cus enim proeressirus scu corporis solicarii (eu sy Hematis corporum
ex motu ceneri graritatis estimari semper debet.
GOROLLARIOM V.
Corporum dato spatio inclusorum iidem sunt motus inter se, sive spa-
tium illud quiescat, sive moveatur idem uniformiter in directum
absque motu circulari.
Nam differentia motuum tendentium ad eandem partem, et sum.
mae cendentium ad contrarias, cxdem unt lub initio in utroq; ca (u (C3
tiypothes) ec ex his summis vel ditterentiis oriuntur congressus ec im-
vetus quibus corpora se mutuo teriunt. tirgo per Legem er aequalesc.
runt conoreltuum effectus in utroq; calu; ex proprerea mancbunemo-
cus inter e in uno casu requales motibusinter (e in altero. Idem com-
probatur experimento luculento. Motus omnes eodem modo sc na-
Bene in Llaris Siveca quielcae, sive moreacur unitormiter in directum.
COROLLARIOM VI.
Si corporamove atur quomodocunq; inter se,  a viribus acceleratrici
bus aequalibus secundum lineas parallelas urseantur; persent omnia
eodem modo moveriinter se, ac si viribus illis non essent incitata.
Tam vires illo aequalicer (pro quanciratibus movendorum corpo-
XWI