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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 98, page id 168608546X:0116
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.85
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DE RESISTEMTIS
TUM Cx PC SUod Crat, _C.
E ROP. X IV
Olidicompomox duobus Conis, rel Prramidibustimisibus, I
militer positis, ec aequalibus, quarum basis communis; rerti
cesrero ad portes oppositas resistentia cam inter se habentratio
nem, quam solida Paraltolepipeda, quorum bales Guadrata ex
minoribus, Sdirectis exis portionibus; alcicudines vero portio
nesmaiores, ec alternas cinsdem axis.
FiCto Coliduim, eEC. ABCD,
cuius axis AC, communis
B 2 SIS. BID, data puncta F,
BE F, RdIMOEeS, ec directa
Axis POrtiones AF, _ CF:
naiores ducem, e alterne
AF, CECP. Riosolidi AB
CDresicencia in P adresi
stentiam in F in eodem et
seracione, in qua solidum
Parallelepipedum, cuius
e t+
5: C5.S
balis Ouadratum ex AF, alcitudo autem AP ad solidum ParaI
lelepipedum, caius basis Ouadratum ex FC, altitudo vero CP.
Ductis enim per E, _ F planis III, H P. ae quidictantibus plano BD
pacecium TIL, RE, BD figuras esse incer se similes, ee similirer
PoliLaS, quarum lacerahiomolosa, vel diameeri FIL, HL, BI.
Ouoniaisicur (olidi ABC relictentia in P ad ressteciam in C propor-
tionem habet composicem ex proportionibus CrA ad AF, OC ad
CF, d Cubi ex FII ad Cubum ex BD, resictentia vero in C ad re-
ictentiom in Pin composita est provortione exrationibus FA ad
AC, EC ad CO, ex Cubi ex BD ad Cubum ex R L ergd resisten-
eia Colidiim P. ad reliscentium in P, proporcionem habet compo
(IEam exrATiOnIbUSCSA ad AF, GCadC E, Cubi ex TII ad Cu
BuM ex BD, PA ad AC, FC ad C. C, _ CubI ex BD ad Cubum ex
RL, hoc est ex rationibusCC ad CF, GA ad AF; Cubi ex R A ad
Cubum ex ACT, PA ad AC FC ad CC, e Cubi exGC ad Cubum
ex CF, sublacisq; proportionibus CA ad AR, F. A ad AC, FC ad
CO, _CC ad CF, reporerationes componentibus aequalicatis
1d
CxIE