Valerio, Luca - De centro gravitatis solidorvm libri tres

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1ſegmentum eius maiori baſi propinquius ſit ad to
tum prædictum interiectum ſegmentum, vt tertia
proportionalis minor ad duo latera homologa ba
ſium oppoſitarum, ad compoſitam ex his tribus
deinceps proportionalibus.

Sit pyramidis fruſtum, cuius baſes oppoſitæ, & parallelæ,
maior triangulum ABC, minor autem triangulum DEF,
axis autem GH. triangulorum autem ABC, DEF, quæ
inter ſe ſimilia eſse neceſse eſt, ſint duo latera homologa
BC, EF: & vt eſt BC, ad EF, ita ſit EF, ad X: vt autem eſt
duplum lateris BC, vna cum latere EF, ad duplum lateris
EF, vna cum la
tere BC, ita ſit
HN, ad NG,
& NO, pars quar
ta ipſius NG, &
HS, pars quar
ta ipſius GH; ip
ſius autem SO,
ſit VO, ad OS,
vt eſt X, ad com
poſitam ex tri
bus BC, EF, X.
Dico punctum V
(quod cadet ne
ceſsario infra

50[Figure 50]
punctum N, quanquam hoc ad demonſtrationem nihil re
fert) eſse centrum grauitatis fruſti ABCDEF. Ducta
enim recta AGL; quoniam GH, eſt axis fruſti ABCD
EF, & punctum G, centrum grauitatis trianguli ABC,
erit punctum L, in medio baſis BC: ſecto igitur etiam la
tere EF, bifariam in puncto K, iungantur LK, KH: & vt

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