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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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2B
DE RESTSLLNLLA
libet datam Baum aliud solidum constiruere ciuldm specici, et
cujus ponderis momentum ad momentum resistentia CaMdCM
habeat proportionem.
Sic dacum Colidum ABCD,
data basis FF. Aio fieri
posse, quod provotui-
MUS.
Ve Cubus ex diametro ba-
sis AB ad Cubum ex
diametro basis FF, ica
AatI ad I, rurtusque.
ve basis AB ad basim
P. F, Ita IadL, inuen-
caque M media propor-
tionali inter L, e K, F-
ac ia, Ve L ad MI, ita BC longicudo ad longitudinem FC, com-
pleacurq; solidum F FCM. Dico hoc esse quesitum. Ouoniam
momentum ponderis AC ad momentum ponderis FC proxorcio.
nem habet compositam ex rarionibus solidi AC ad solidum F C,
ex lonoicudinis BC ad longicudinem FC, hoc est rationibus ba
siS AB ad basim FF, e Ouadrati ex longitudine BC ad Ouadra-
cum exlonsicudine FC, Pridelicet adL, _ L. ad K, ergo, vemo
mentum ponderis AC ad momentum ponderis R C5, ita I ad
K, hoc est. Cubus ex AB ad Cubum ex F.F, momentum sci
licet resistentiae solidi AC ad momentum resictentiae solidi P. CY,
ee permucando, remomentum ponderis AC. ad momentum resi.
sentiae Colidi AC, ita est momentum ponderis FC ad momen-
cum resstentia solidi FC. Muoderat, etc.
COROVL. I.
T Incpatet quomodo, dato Prismare, rel Cilindro aequalis re-
LL sistentia; super quamlibet datam batim aliud solidum con-
Arui porsic eiuldem speciei, ee xqualis resittentia.
COROLL. IF.
Onstatetiam inaqualium basium Prismata, vel Cilindros, se
xequalisresictentix, immo quorum ponderum momenta ad
omenta resistentiarum quamlibet habeant, _ camdem. PrO
POF.
B