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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 63, page id 1066518432:0091
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1.
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1.
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O.
DE VERZBUS BT MOTTDUS COR PORUM. L IB. I.
C3
nonix facta utcunque demonstrare tentarie; sed ejus demonstratie,
quae ibi aftertur, Flugenii judicio parum concludit.
S CH OL + O N I.
r4.Z. IL hac propesitione, perinde ac in antecedente ZVIII. mo
bilia aequalia ponuntur tam ratione quantiratis materiae quam ratio.
ne texturae particularum, vel quod idem cA, corpora M ec A, quoad
volumen ex massam, aequalia esse debent, ut recensitae propolitiones
generaliter obtineant, scilicet eo etiam catu, quo eorum pondera in
aequalibus a centro Colicitationum D distantiis proportionalia non
Tunt. Semper enim rerum erit celeritates in F e N acquisitas post
descensus corporum a quicte in A ex MI, per Spatia AF eE MION
aequales esse, sire malsae corporum eorum graritatibus leu folicita-
tionibus centralibus aut ponderibus proportionales sint, sire non.
244. Sed si mobilia M ex A massas non habent ponderibus suis
proportionatas, nec pondere ex malla aequalia lunt, provolitio pexe-
sens ad talia corpora non est extendenda; hoc enim catu praedicta
celeritates, in punctis illis N ec A acquiliexe, non lunt aequales, sed
velocitas in currae puncto N se habebit ad relocitatem in rectae
Puncto P acquisitam, ut latus quadratum arex AABE, cujus ordi-
RAEX BF graritates seu Colicitationes centrales mobilis M, in curra
MION discurrentis, exponunt in homoloris punctis N, applicatum
ad radicem male mobilis M; ad latus quadratum arCX A3AZBE,
cujus ordinatxe F3BP exponune graritates corporis A in locis qui-
busris F, per guae ordinatae transcunt, applicatum ad radicem mal-
Ex seu quantitaris materiae mobilis A, quod in recta AD FertUE.
NNam SI, UE SUpra, latuS AC vel aequale CHI in triansulo rectan-
sulo isosceli FIAG, celeritatem mobili MI ex descensi per arcum cur-
VXMON in puncto Nacquisitam, et latera equalia 2 A2CF vel 2FT2C
trianguli rectanguli ilolcelis 2FI2A2C celeritatem mobilis A ex casu
ejus per spatium AE in puncto rectx F. aCquiSITAM, CXPONANE, CruNE
velocitatum AG, 2A2C momenta rectangula IIGe ec 2(12628
FrianOULS IIAS LIICHIPEa _, per 58, 132, 133, Crit BL. FC =SF. NW
=MI. HIGe, ergo oia BF. De, hoc cA, ut in demonstratione arri-
culi 236. Ostentum, drCa AAZ BF. aequatur omnibus MI. HICG, id
eA Facto ex massa corporis M in triangulum, atque adeo AC
M = 2. AAZBF et AB =GTT = EF = Y (2. AAZBE): VVI. RE
S. 23.) C Paltt 3BC. Ce = A. 2FI2628, atque adeo omnia 3BL.
EC