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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 17, page id 168608546X:0035
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.91
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Sit dacum quodcumque
Solidum ABC D, C 
dus B, reperiri debet
aliud colidum simile
dacOABCD, acuius
ponderis momeneum
ad momentum resistem
cixe camdehabeac pro-
Portionem, quam mo-
mentum ponderis L,
simul cum momento 
ponderis daci Colidi
ABCD, ad momentum
relistentiae ciusdem Colidi ABCD.
Ducatur axis FC, qui ita secetur in puncto HI, ve sc HI Colidi AC gr2-
uicatiscentrum. Deinde, reaxis CF ad cius portionem FHI, iti
tiac pondus AC ad pondus I, quod, non secus ac pondus F, Sulpen-
lum incellisatur ex lonsitudine FC. Praeterca, re Pondus l ad
semetipsum, simul cum pondere F, ita Aat AD longitudo. Colidi
AC ad longieudinem KI, supra quam hat Colidum RI. MN simile
daco solido ABCD. Dicoiam SOlidU RI. MN eNC quae situM.
VECubUS ex AB Ad CUBNM CXRNT, ita faLHI ad OP. Ouoniam,
re CF ad FEI, ita est pondus lolidi AC ad pondus l, patce
pondera AC, ex I aequalium esse momentorum. Rurtus quo
niam invertendo, re pondus F, simul cum pondere l, 2d
Dondus I, hec est momentum ponderis Fi, simul cum mO
mento ponderis BC ad momentum ponderis AC, ita cAt KL
ad AD; momentum aucem ponderis AC ad MOMeNEUM POn
deris HMI proportionem habet compolitam ex rationibus lon-
dicudinis AD ad lonsicudinem HL, _ Colidi AC ad Colidum HMI,
hoc est propcer ficurarum similicudinem, Cubi ex AB ad Cubum
ex KII, HL. Icilicet ad OP, ex aequali eroo ordinata, remomentu
Ponderis E, Cunul cum momento ponderis AC ad momentum
Ponderis HMI, ied estkP ad OP, hoc est Cubus ex AB ad Cubum
ex kcN, momentum scilicet resistentiae solidi AC ad MOenEIIM
relictentix solidi HM, ee permutando, vemomencum ponderis F.
simul cum momento ponderis solidi AC ad momentum reliltentie
colidi AC, ird erir momencum ponderis solidi tM ad MMOmentuI
xCt.