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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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D
DE RESISTENTIA
e ROP. L X X X XVI.
Ato solido Parabolico, datoq; pondere, cuius momentum, vna
cum momento ponderis dati tolidi, ad momentum relistentiae
eiusdem Colidi quamcumq; habeat rationem datam, datum soli-
dum ita producere, recius ponderis momentum ad momentum
relctentiae sic in eadem proportione.
Sic datum Colidum, _c. ABC
DEF, datumque pondus C.
Aioteri porse, quod propo.
suimus.
VExondus ABCDEF ad seme
cipsu, smul cu quinqi medie.
catis ponderis C, ita Aat II ad
P, inter quas inveniantur (id
enim per C’ onicas sectiones 1
heri Potest) dua media
proportionales R, ec L,
fiatque, ve HI ad L, ita FD ad DM, e compleatur solidum
MINOCDE. DicOIaM COlIdUM AINTOCDE eRe guaeStuM.
VEKadI, ita tat Pad9, ac incer I, _  inveniatur R media pro-
portionalis. Duoniam AF. ad NNI est in subdupla proportione
F.D ad DMT, hoc est HIadL, eAtque, ve TI adK, it a H ad F, ergO
VE AF ad NMT, hoc eA BaKS FB ad BasIm MO, ita FFad K. RursI
quoniam H, K, Ly T, R, D sunt continue proportionales, cric ixi-
cur HIad O in quincupla proxortione ciuldem FIadR, tiue basis
EB ad basim MO. Ouoniam icaq; momentum ponderis C, simul
cum momento ponderis FBCD camdem habet proportionem,
quam quinque medictates ponderis e simul cum pondere
F B. C D ad pondus E. BC D, eamdem scilicet invertendo,
quam I ad Hl; momentum aurem ponderis FBCD ad momen-
tum ponderis MO C D est in quintupla proportione batis F. B
ad balim MO, proindeque ve H a 9, ex aequali isitur
ordinata momentum ponderis Cr, una cum momento ponde
ris solidi E BCD ad momentum ponderis (olidi: MOCD in cadem
ratione est, in qua l ad9. Il ridelicet ad I, Ccu E. D ad DM, li0c