Valerio, Luca, De centro gravitatis solidorum, 1604

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1que LK, fiat vt dupla ipſius AD vna cum BC ad du­
plam ipſius BC vna cum AD, ita LR ad RK. Dico
priſmatis AG centrum grauitatis eſse R. Ducantur enim
per puncta L, K lateribus priſmatis, atque ideo inter ſe
parallelæ MN, OP, quæ
ob centra K, L, ſecabunt
oppoſita parallelogrammo­
rum latera bifariam, eas
ſectiones connectant MO,
NP, ipſique MN, vel
OP, parallela ducatur Q
RS. Quoniam igitur eſt
vt LR ad RK, hoc eſt vt
dupla ipſius AD vna cum
BC ad duplam ipſius BC
vna cum AD, ita OQ ad
QM, & recta MO bifa­
92[Figure 92]
riam ſecat AC trapezij latera parallela, punctum Q, AC
trapezij centrum grauitatis; ſimiliter & punctum S erit EG,
trapezij centrum grauitatis: priſmatis igitur AG axis erit
QS, & centrum grauitatis R, quod eſt in medio axis.
Omnis igitur priſmatis baſim habentis trapezium, &c.
Quod demonſtrandum erat.
PROPOSITIO XXI.
Si à quolibet prædicto priſmate duo priſmata
beſes habentia triangulas ſint ita abſciſſa, vt pa­
rallelepipedum relinquant baſim habens minus
parallelogrammorum inter ſe parallelorum præ­
dicti priſmatis, maioris autem partes æqualia pa­
rallelogramma ipſum parallelepipedum relin­

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