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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)
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6 PRINOIPIA PHILOSOPMILA _C.
tantum motus, quantum in stranstulie, amittendo, peroce
verlus quam prius morebatur partem, moreri. PX. gr. Cilinca
AC sit ad lineam AB, ut P ad 2, ec motus corporis A ad morum
corporis B ut Lad5, tum Beransteret in a unum gradtum lui
motus, ipsumque in contrariam partem repellet, e B cum qua-
cuor residuis gradibus perget verlus eandem partem, verlus
quam priustendebat, moveri.
PROPOSITTOZZVTIL. ReZ. 4.
Fid. F.C. Si corpus Aplane quiesceret, esset que paulo majus, quam B; quacun-
prop. 27.
quecum celeritate B moveatur versus a, nunquam ipsum A mo-
vebit; sed ab eo in contrariam partem repelletur, suum interrum
motum retinendo.
Noca, horum corporum contrarietatem collitribus modis, vel ubiunum al
cerum secum rapit, et postea ae que celeriter versus eandem partem versunt mo-
veri; velubi unum in contrariam partem reflectitur, ec alcerum tuam incepram
quietem retinet; vel ubi unum in contrariam partem refectnur, ec aliquid sui
motusin aliud quicsCenS transtert; quartus autem calus non datur (ex vi prop.
23. hujus): jam isitur erie (per Prov. 23. hujus) demonstrandum, quod se
cundum nostram hypochesn minima mutatio in hlce corporibus continsit.
D E N O N S P R A F LO.
GT B moveret A, donec eadem celeritate pergerent ambo
moreri, deberet (perpropol. 20. hujus) tancum lui mo-
tus in Atransterre, quantum L acquirit, e (per propol. 2T. hu-
jus) plus quam dimidiam partem lui motus deberet amittere,
e consequenter (per corol. proDol. 27. hujus) plus etiam, quam
dimidiam parcem sux determinationis, adcoque (per corol.
PropOl. 26. hujus) plusmutationis pateretur, quam sitantum
Tuam dererminationem amitteret; ec (i A sux quietis aliquid a-
mictat, sednon tantum, ut tandem cum B aequaliceleritate.
pergat moveris tum contrarictas horum duorum corporum non
tolletur, nam A Cua tarditate, quatenus illa de quiete parti-
cipat (per corol. I. propol. 22. hujus) celeritati B contraria-
bitur, ideoque B adhuc in contrariam partem refecti debebit,
totamque uam determinationem a partem iplius motus, quem
in Acranstulic, amitret, quae etiam major elt Mutatio, quam