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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 159, page id 1041163592:0193
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PRTNCIDTA MATHEMAETCA
Exponatur corporis Y aetractio acceleratrix vertus S per lincam LIBEK
N; ec si actractiones acceleratrices S M, S NV aequales eNenE; HX, PRrUVS.
trahendo corpora F e P aequaliter ee secundum lineas parallelaS,
nil mutarene sicum eorum ad inricem. lidem jam Forent corporum
illorum mocus incer sc (per Legum Corol. 6.) ac si hae attractio.
nes FOllCrenEUr. RE pari ration A accractio S N minOr CNCF. AE-
tractione SM, tolleree ipla aecractionis SM parrem SN, ee ma-
neret pars Cola M N, qua temporum ec arcarum proportionalitas
ec Orbicae Forma illa Ellipeica perturbaretur. Ee similiter A actra-
ctio SN major ester accractione S MB oriretur ex disterentia sola
MN percurbatio proportionalitatis et Orbitx. Sic per atcractio.
nem SN reducicur semper actractio certia superior SMV ad atrra-
etionem MIN, actractione prima ex secunda manentibus prorsus im-
mutatis: e propterea arex ac tempora ad proportionalitarem, de
Orbita F AB ad Formam praetatam F Ilipricam cum maxime acce-
dune, ubi actractio M N vel nulla est, vel quam Reri possic mini-
ma; hoc est, ubi corporum F et T actractiones acceloratrices, ta-
ctae vertus corpus S, accedune quantum ficri porest ad aequalica-
tem; id est, ubi accractio SN non cs nulla, neque minor minima
accractionum omnium SMI. sed incer accractionum omnium SMI
maximam ex minimam quasi mediocris, hoc est, non multo major
neque mulco minor actractione SR. D. F. D.
Cas. 2. Revolrantur jam corpora minora F, Scirca maximum Y
in planis diverss; ex vis L. MI, agendo secundum lincam P F in pla-
no Orbitx P AB Etam, cundem habebic effectum ac prius, neque
CorDuS F de plano Orbitae suxe deturbabit. Ac vis altera NNI
agendo secundum lineam quae ipsi SF parallela eA, (acque adco.
quando corpus S versatur extra lineam Nodorum, inclinatur ad
planum Orbitae P AB;) PEaeter perturbationem motus in L ongitu.
dinem jam ante exposicam, inducee perturbationem morus in Laci-
cudinem, trahendo corpus P de plano sux Orbitxe. EF HXeC Per-
curbatio, in dato quoris corporum P Se T ad invicem sIEU, eriE UE
vis illa generans MN, adeoque minima eradet ubi M N est mini-
mas hoc est (uri jam exposui) ubi actractio SN non cA multo ma-
Jor, neque multo minor actractione SRL. d. L. D.
C. Orol. T. Ex his Facile collisitur quod, si corpora plura minora
P, S, R, ecc. revolrantur circa maximum P, motus corporis inci-
mi P minime percurbabitur aecractionibus exteriorum, ubi COrpuS
maximum F Paricer 2 exeteris, pro ratione virium accelerarricum,
OcrahITuT _E ABITAEUE aIQUO CXTeTA a Le MUEUO.
Corot.
NHMNIHTIHIIMIMHETNHAHLIMBMMMSMMNIMNMIIMI