Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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ABC tres ad diametrum ordinatim applicatæ AD,
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FH, MO. </
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>Quoniam igitur tres rectæ OB, BH, BD
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ſeſe qualiter excedunt, quarum minima BO, maxi
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ma eſt BD, minor erit proportio BO ad BH, quàm
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BH ad BD; hoc eſt NP ad GK, quàm GKad AC.
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ſed vt OB ad BH hoc eſt NO ad GH, vel NP ad
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GK ita eſt quadra
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tum MO ad quadra
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tum FH, hoc eſt eo
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no dis ſectionum cir
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culus MQ ad circu
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lum FL: eademque
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ratione vt GK ad
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AC ita circulus FL
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ad circulum AC; mi
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nor igitur proportio
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erit circuli MQ ad
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circulum FL quàm
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circuli FL ad circulum AC. </
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>Similiter autem oſtende
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remus ternas quaslibet alias ita factas ſectiones trianguli,
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& parabolæ ABC inter ſe & baſi parallelas proportio
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nales eſse, & minorem proportionem vtrobique minimæ
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ad mediam, quàm mediæ ad maximam. </
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trum grauitatis trianguli ABC, igitur per vigeſimamter
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tiam huius centrum grauitatis conoidis ABC erit idem E.
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PROPOSITIO XLII.
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<
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>Omnis fruſti conoidis parabolici centrum gra
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uitatis axim ita diuidit, vt pars, quæ minorem
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baſim attingit ſit ad reliquam; vt duplum maioris </
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