Valerio, Luca, De centro gravitatis solidorum, 1604

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1trum grauitatis. Quod demonſtrandum erat.
PROPOSITIO XXX.
Omnis prædictæ figuræ centrum grauitatis
eſt propinquius baſi, quàm cuiuſlibet figuræ ex
cylindris, vel cylindri portionibus, vel parallelo­
grammis æqualium altitudinum ipſi circumſcri­
ptæ.
Sit prædicta figura ABC, cuius axis vel diameter BD,
& data intelligatur figura ex quotcumque cylindris, vel cy­
lindri portionibus, vel parallelogrammis æqualium altitu­
dinum figuræ ABC circumſcripta, cuius ſit centrum gra­
uitatis E, nempe in axe vel
diametro BD. Dico cen­
trum grauitatis figuræ ABC
propinquius eſſe puncto D,
quàm punctum E. Si enim
fieri poteſt, centrum grauita­
tis figuræ ABC, quod ſit
F, non cadat infra punctum
E, ſed vel ſupra, vel con­
gruat puncto E: figuræ ita­
que ABC circumſcribatur
figura quædam ex cylindris,
vel cylindri portionibus, vel
parallelogrammis <17>qualium
altitudinum, cuius centrum
106[Figure 106]
grauitatis, quod ſit G, ſit propinquius D puncto, quàm
punctum E, ac propterea propinquius, quàm punctum F,
centrum grauitatis figuræ primo circumſcriptæ. Rurſus
multiplicatis cylindris, vel cylindri portionibus, vel paral-

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