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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 154, page id 1041163592:0188
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HIIIII.
154
PTIITOSODMTIA NATORALIS
Dr Moro Hribus prioribusmajores; adeoque (per Corol. L. Prop. X. e C orol.
LOREORDN + XF 8. PFOP. IV) efticiunt ut corpora illa describane F Ilipses ut prius,
Sed mocu celeriore. Vires reliquae accolerarrices SD de SD, actio-
nibus motricibus SD XT _E SD X L, qua TUINE UE COrPOTA, tra-
hendo corpora illa aequalicer ec secundum lincas YI, L. R, ipsi DS
parallelas, nil mutane situs corum ad invicem, sed Faciune ut ip(a
aequaliter accedant ad lineam PK; quam ductam concipe per ine-
dium corporis S, et lineae DS perpendicularem. Impedietur au-
cem ilte ad lincam PR accessus Faciendo ut Systema corporum T et L.
ex una parre, ee corpus S’ex altera, justis cum relocitatibus, gyren-
tur circa commune graricaris centrum C. Tali mOtu COrpuS S
eo quod summa virium motricium SD X T ec S D X T, distan-
tix CS proporeionalium, tendic versus centrum C) describit Fl-
lipun circa idem C; e punctum D, ob proportionales CS, CL
describet Fltipsn consimilem c regione. Corpora autem F et L.
viribus motricibus SD XT
ec SD XL. (prius priores
Polterius posteriore) aequa
liter e sccundum lincas pa-
rallelaS FYe L. K Cue dic.
cum CA) actracta, pergent
(per Legum Corollarium
quintum e Textum) circacen-
erum mobile D EIlip(eS TUaS
describere, uc prius. d. F. I.
Addatur jam corpuS quartum V, ee simili argumento conclude-
tur hoc et punctum C Fllipses circa omnium commune centrum
graritatis B describere; manentibus mocibus priorum corporum
P. L. et Scirca centra D e C, sed paulo acceleratis. Ec cadem
methodo corpora plura adjungere licebit. d. F. I.
IIaec ita se habent ubi Corpora Y ex L. trahunt se mutuo viribus
acceleratricibus majoribus vel minoribus quam quibus EraHUnE COE-
Pora reliqua pro ratione distanciarum. Sunto mutua omnium ae-
cractiones acceleratrices ad invicem ut distantix ductae in corpo-
ra trahentia, e ex praecedentibus Facile deducetur quod corpora
omnia aequalibus temporibus periodicis Elliples varias, circa om-
nium commune gravicatis cenerum B, in plano immobili delert
BUnE. _. F.. L.
PAO
GNHEHEEIEIMLANTEHAHTHALAEBEMSMGIMIEBIMMS