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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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5
DE RESISTENTIA
adomentum ponderis ABC, camdem habet proportionem,
quam Pad IC: momentum vero ponderis ABC Ad MOMeNEUIM
ponderis F.BF, in cadem ratione est, in qna Cubus ex TIB ad Cu-
bum ex BCi, hoc est Cubus ex L. ad Cubum exNV, sine Cubus ex
E ad Cubum ex L; proindeque, ve IE ad O, ex aequaliisitur ordi-
naca, veniomentum ponderis D, rna cum momento ponderis
ABC, ad momentum ponderis EBF, itd T adO. RUETUS guOnIAME
ratio L ad NI dupla scilicee ratione Iad NV, camdem eAt CuM F2
rione EIB ad BCF, dupla videlicet ATT ad EC; Cr∞O, ve Tad NI, ita
eA AII ad FCF, ac idcirco, ve Cubus ex I ad Cubum ex NI, hoc eAt
Tad O, momentum scilicet ponderis D, via CUM MOMENLO BON-
deris ABC, ad momentum ponderis FBF, itd Cubus ex AII ad
CaBUM ex EC, hoc est momentum resistentia (olidi ABC ad mO-
mentum resistentiae solidi EBF, e permutando, re momentum
ponderis D, vna cum momento ponderis ABC, ad momentum
resistentiae solidi ABC, ita momentum ponderis FBF ad omen-
cum resistentiae solidi EBF. Ouod crat, _c.
COROLL.
Inc pacet quomodo, data Conoide Parabolica maioris resisten
LL cix, emarimo pondere, porsic dacum folidum ita produci,
re aequalis hacresistentia.
P R OP. LXZIZ
Atis duabus Conoidibus Parabolicis, datoq; pondere, cuius
momentum, simul cum momento ponderis rnius dati Colidi,
ad momentum resistentia ciuldem solidi quamlibet habeat maio
rem proportionem, quam momentum ponderis solidi alterius ad
momentum lue, Colidum eiusmodi ita producere, re momentum
sui ponderis admomentum sue resistentie sc in cadem propOr-
Tione.
C O R O F. F.. 11 lC.
Inc liguet; quomodo datis duabus Conoidibus Parabolicis
a maioris relistencie, ec maximo vnius pondere, possit alterum
londum ica produci, reequalis tat resistentie.
1t  et 2 CC Cd V
PROE.