Valerio, Luca - De centro gravitatis solidorvm libri tres

1quat, centrum grauitatis vtriuſque abſciſsi priſ
matis tamquam vnius magnitudinis rectam line
lam, quæ prædicti priſmatis parallelorum paral
lelogrammorum centra iungit, ita diuidit, vt
pars, quæ minus parallelogrammum attingit ſit
dupla reliquæ.

Sit priſma ABCDEFGH, cuius baſes oppoſitæ tra
pezia ADHE, BCGF. Sint autem AD, EH, paral
lelæ, quarum maior EH. Oppoſita igitur parallelogram
ma AC, EG, inter ſe erunt parallela, quorum maius EG.
At per rectas AB, CD, ſectum ſit priſma. ABCDEF
GH, ita vt abſciſſa priſmata ABSFER, CDVHGT,
relinquant parallelepipedum AT, ipſum autem AT, re
linquat duo parallelogramma æqualia ES, TH. Poſito
autem centro K
parallelogrammi
AC, & L, paral
lelogrammi EG,
iunctaque KL,
ponatur KM, du
pla ipſius ML.
Dico duorum priſ
matum BER,
CVH, ſimul cen
trum grauitatis

93[Figure 93]
eſse M. Sectis enim AB, CD, bifariam in punctis P, Q,
ſumptiſque parallelogrammorum ES, VG, centris N, O,
iungantur PN, QO, & poſita PX dupla ipſius XN, & QZ
dupla ipſius ZO, iungantur rectæ PKQ, XZ, NO.
Quoniam igitur in quadrilatero PQON, recta XZ, pa
rallela eſt vtrilibet ipſarum PQ, NO, ſecat ijs parallelis
interceptas in eaſdem rationes; recta igitur XT per pun-

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