Valerio, Luca - De centro gravitatis solidorvm libri tres

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1ctum M tranſibit. Sed quia PK eſt æqualis KQ, & NL
ipſi LO, etiam XM æqualis erit ipſi MZ ob parallelas;
cum igitur priſmatum BER, CVH centra grauitatis ſint
X, Z; erit vtriuſque priſmatis prædicti ſimul centrum gra
uitatis M. Quod eſt propoſitum.

PROPOSITIO XXII.

Si ſint duæ pyramides æquales, & æque altæ,
baſes habentes in eodem plano, quarum vertices
recta linea connectens cum ea, quæ baſium centra
grauitatis iungit ſit in eodem plano; earum cen
trum grauitatis tamquam vnius magnitudinis re
ctam lineam, quæ inter vertices, & centra baſium
interiectas bifariam ſecat, itadiuidit, vt pars ſu
perior ſit inferioris tripla.

94[Figure 94]

Sint duæ
pyramides æ
quales, & æ
que altæ, qua
rum baſes in
eodem plano
AC, DB, ver
tices autem
G, H, & ba
ſium centra E,
F, iunctæque
EF, GH, quas
bifariam ſecet recta KL, huius autem pars quarta ſit LM.
Dico vtriuſque pyramidis GAC, HDB, ſimul centrum
grauitatis eſſe M. Iunctis enim GE, HF, ſumantur ea

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