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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)
# Folio 18, page id 168608546X:0036
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# Lines: 37 recognised, mean confidence 0.91
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18
DE RESISTLATIA
relitentiae solidi LM. Ouod erat, _c.
COROL L. I.
TEne deducitur quomodo, dato maioris resictentix solido; 
a  maximo pondere, portit solidum reperiri dato simile; et se
qualisresistentis.
PR O P. XV II.
Y Aco solido, cuius ponderis momentum ad momeneum resicten-
tix quamlibet habeat rationem datam; sectoq; ab ipso quoli-
becfrusto, reperire pondus, cuius momentum, rna cum momento
ponderis abscisi frusti, ad momentum resistentiae ciusdem Fructi se
Meadem proportione.
Sit datum lolidum ABC,
Catur axis CHI, sICque
Solidi ABC centrum gi
esC CCHErIM OTAMIEatiS. Fiacmodo, ve FIIadTC, itd pondus in-
reori solidi ABC ad pondus eius Fructi AF, rna cum pondereO,
rursulque, rekTadIFI, ita Aat pondus O ad pondus l. Aiopon-
dus P esse quaesitim.
Pendeat O ex puncto II. Ouoniam longitudo FII ad lonsicudinem
TC, eAt re pondus ABC ad pondus AF, Cimul cum BondereO,
ergo pondus ABC, ee summa ponderum AF, et O sune
aegualium momentorum. Rursus quoniam pondus O ad
pondus P in eadem est proportione, in qua longicudo Ll ad
lonsitudinem IFI, ergo momentum ponderis P aequale est
momenco ponderis O, additoque communi momenta pon-
dE
ablcissumq; ab eo fructu
ABED. Aio feri posse,
quod propotuimus. Du
nitatis C; eius autei
Portionis DFC SIE CCH
trum oranitacis F, aC, VE
Fructum AF ad portio-
AEDFC, ita AaE FC:
OIL. Pacet IItrusti A