Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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mus: erit utique grauitatis centrum pyramidis punctum
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g. in quo ſcilicet ipſi axes conueniunt.</
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">THEOREMA XIIII. PROPOSITIO XVIII.</
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">SI ſolidum parallelepipedum ſecetur plano
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baſibus æquidiſtante; erit ſolidum ad ſolidum,
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ſicut altitudo ad altitudinem, uel ſicut axis ad
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axem.</
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">Sit ſolidum parallelepipe
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dum abcdefgh, cuius axis
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kl:
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ſeceturq;
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plano baſibus
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æquidiſtante, quod faciat
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ſectionem mnop; & axi in
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puncto q occurrat. </
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ſolidum gm ad ſolidum mc
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eam proportionem habere,
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quam altitudo ſolidi gm ha
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bet ad ſolidi mc altitudi
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nem; uel quam axis kq ad
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axem ql. </
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">Si enim axis Kl ad
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baſis planum ſit perpendicu
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laris, & linea gc, quæ ex quin
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ta huius ipſi kl æquidiſtat,
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perpendicularis erit ad
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idẽ
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planum, & ſolidi altitudi
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nem dimetietur. </
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">Itaque ſo
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lidum gm ad ſolidum mc
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eam proportionem habet,
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quam parallelogramm
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ũ
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gn
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ad parallelogrammum nc,
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hoc eſt quam linea go, quæ </
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