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.
TERTII LIBRI FINIS.

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