Valerio, Luca, De centro gravitatis solidorum, 1604

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1tranſuerſum latus hyperboles, quæ conoides deſcribit ſit
BE
, huius autem ſeſquialtera BEF: & ſumpta axis BD
tertia
parte DG, & quarta DH, qua ratione erit GH
axis
BD pars duodecima, ordine quarta ab ea, cuius termi
nus
D; eſto vt FB ad BD, ita HK ad KG.
Dico conoi­
dis
ABC centrum grauitatis eſſe K.
Diuidatur enim co­
199[Figure 199]
noides
ABC in parabolicum conoides LBM, & reliquum
ſolidum
ALBMC, ita vt conoides LBM ad ſelidum
ALBMC
ſit vt FB ad BD, hoc eſt vt HK GK.
Quo­
niam
igitur G eſt centrum grauitatis conoidis LBM, & H
ſolidi
ALBMC; tot us conoidis ABC centrum graui
tatis
crit K.
Quod demonſtrandum crat.

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