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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 14
# Folio 3r, page id 00068138:0005
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Invenire
Conoeides solidum, aequalis ubique resistentia
sit Trilineum orthogonium planum ABCEA quod rotatum pirca
propriumaxem AB generet solidum conceides AE CDFA. hoc quaeritur
tale, ut vires prangearus momentum ipsius A portionis AEFA sit ad resisten
tiam suae basis EFEHF, ut momentum totius ACDA ad resistentiam
Suae basis CGD. sunt autem resistentiae basium, ut cubi diametrorum EF. CD.
debet ergo si linea AEC esse talis ut momenta fractorum sint ut cubi diametiorum
basimm AEF solidorum AEFA. ACDA, sint ut cubi EF CD, diametrorum
EF sit  CD sit Y. AB sit X. Et sit proprietas curvae 
 aequ. A. Et Elementa conguoidis cum sint proportionalia ipsis gus, erunt ut
basium.
e Quorum momenta ex CD sunt summae sum marum, s per alibi demon-
re+I. 2C+1. Et summae summarum erunt.
 2C+142C+2. Quae ut sint proportionales cubis ab y, debent coincidere
strata, sunt autem summae A
d
2e
e
e
 seu a
ge
et X
dae
rett Ergo aquantur e
sive erit e aequ. 2. et fiet y aequ X
3C et 2C+2. sive
2
Ergo Converdes parabolicum
seu Tuba parabolica
concavum, ubique oqualiter resistt
Quod cum sit quinta pars
Cylindri circumscripti hinc habemus quo trabi ad quintam ponderis partem
modu
reduci potest, salva resistentia firmitate. Quod Theoremua pulcherrim
a
galilae non funt observatum
1c
solidum quaerere, quod extremis
apprehensum, flectenti ubique aaequaliter
e
resistit.