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# Title: [De Resistentia Solidorum Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis] De Resistentia Solidorvm Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis (shelfmark Leibn. Marg. 225)
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9D
DE RRSISTENTIA
ris D, admomentum relctentix solidi HL. C. Ouod erat, etc.
COR OLL.
Y Inc patet quomodo, dato solido Parab. ae qualis resictentix, da
L coq; Pondereminori, quam duae quincae parces ponderis datu
Solidi, possic a daco solido abscindi portio, cuius maximum sit da-
eum pondus
SCTTOLION.
Eterminatio apposca in praecedenti propostione, ciusq: Co
l
roII. hinc euincitur necessaria, quia alioquin verumque esset
impossibile. Si enim D minus nOn CNeE quai duae quinca parces
Ponceris ABC, iam quinque medietatem ponderis D, simil cum
quacumq; quancumuis minima portiuncula ponderis ABC, pu-
ta VLC, maius esset pondus, quam ABC, proindeque proportio
momenti ponderis D, una cum momento ponderis HL. C, ad mo-
mencum ponderis ABC, composita scilicet ex rationibus quinqu
medietatum ponderis D, simul cui pondere HL. C, ad pondus ABC,
ex lorisicudinis KC ad longicudine CA, maior cNeE quam proPOr-
tiociusde lonsicudinis kC ad songicudinc CA, hoc est maior, quam
proporciomomenti resictentie (olidi HL. C ad momentum resicten-
cix solidi ABC, _ permutando momentum ponderis D, vna cum
momento ponderis abscimi solidiHI. C, ad momentum resictentixe
eiusdem solidikL. C, semper maiorem necessario haberer ratione,
quam momentum ponderis solidi ABC ad momentum resistentix
ciusdem Colidi ABC, proindeque imporibilis omnino esset Prae-
dictorum Problematum resolutio.
ei