Valerio, Luca, De centro gravitatis solidorum, 1604

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1ipſius MF dimidia: ſed & rectæ BN, FO, triangulorum
baſes AC, ED, bifariam ſe­
cant; erunt igitur puncta L, M,
centra grauitatis triangulorum
ABC, DEF, oppoſitorum.
Priſmatis igitur ABCDEF
axis erit LM: quare in eius bi­
partiti ſectione priſmatis ABC
DEF centrum grauitatis: ſectus
autem eſt axis LM bifariam in
puncto K; nam ob parallelogram
ma eſt vt NH ad HO, ita LK
ad KM; priſmatis igitur ABC
DEF, centrum grauitatis erit K.
Quod demonſtrandum erat.
91[Figure 91]
PROPOSITIO XX.
Omnis priſmatis baſim habentis trapezium, cu­
ius duo latera inter ſe ſint parallela centrum gra­
uitatis rectam lineam, quæ æque inter ſe diſtan­
tium parallelogrammorum centra iungit, ita di­
uidit, vt pars, quæ dictorum parallelogrammorum
minus attingit ſit ad reliquam, vt duorum baſis la
terum parallelorum dupla maioris vna cum mino
ri ad duplam minoris vna cum maiori.
Sit priſma ABCDEFGH, cuius baſis trapezium
ABCD, habens duo latera AD, BC, inter ſe paralle­
la, ſitque eorum AD maius: parallela igitur erunt inter ſe
duo parallelogramma BG, AH. Sit parallelogrammi AH
centrum K, & BG parallelogrammi centrum L, iuncta-

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