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# Title: [Renati Des Cartes Principiorum Philosophiae Pars I, & II, More Geometrico demonstratae] Renati Des Cartes Principiorum Philosophiæ Pars I, & II, More Geometrico demonstratæ (shelfmark Leibn. Marg. 31)
# Folio 58, page id 789395444:0080
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58
PRTNCHLA LMILOSOPHLA RC.
COROLLARIOM.
In omni motu interer C irculus corporum simul movetur.
DEMONS PR ATTO.
tempore, quo corpus r ingreditur locum corporis 2,
hoc corpus 2, in alterius locum, puta 3, debetingredi,
_ (ic Porro (per Provol. 7. hujus): Dein-
de eodem temporis momento, quo cor-
puS I, locum corporis 2 ingrediebatur,
locus, a corpore e derelictus, ab alio oc-
cupari debet (per prop. B. hujus) puta 8,
rit alind, quod ipsum r immediate tangie; quod cum Hat ex
Tolo impultu alterius corporis, (per Scholium praeced.) quod
hic suxponitur esse r; non possunt omnia hxeC corporamO-
ta in eadem rect a linea eRe (per AXIOM. 2T.): Sed (per deAi-
nic. 9.) inteorum circulum describunE, g. c. d.
ROPOSITIO IZ.
Si canalis ABC circularis sit aqua plenus. ex in A sit quadru-
plolatior, quam in B, eo tempore, quo illa aqua (V el aliud cor-
pus fuidum) quae est in A versus B incipit moveri, aqua, quae
est in B quadruplo celerius movebitur.
DE NTONSTRATTO.
Cum tota aqua, quae est in A
moretur verus B, debet simultan-
tundem aguxe ex C, qua A immc.
diate tansic, ejus locum ingredi
(Der Propol. 8. hujus): e CxBtan-
tundem aque locum Cdebebic in-
gredi (per candem): ergo (per
AX. 14.) Quadruplo celerius mo-
rebitur, 9. C. d.
Id, quod de circulari canali di-
CIMUSS