Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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bere proportionem, quam ſpacium gh ad
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figuram, hoc modo demonſtrabimus.</
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">Intelligatur circulus, uel ellipſis x æqualis figuræ rectili
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neæ in gh ſpacio deſcriptæ. </
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id
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">& ab x conſtituatur conus, uel
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coni portio,
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altitudinẽ
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habens
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eandẽ
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,
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quã
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cylindrus uel cy
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lindri portio ce. </
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<
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id
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">Sit deinde rectilinea figura, in qua y
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eadẽ
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,
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quæ in ſpacio gh deſcripta eſt: & ab hac pyramis æquealta
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conſtituatur. </
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">Dico
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conũ
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uel coni portione x pyramidi y
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æ-qualẽ
">æ
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qualem</
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eſſe. </
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<
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">niſi enim ſit æqualis, uel maior, uel minor erit.</
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">Sit primum maior, et exuperet ſolido z. </
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">Itaque in circu
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lo, uel ellipſi x deſcribatur figura rectilinea; & in ea pyra
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mis eandem, quam conus, uel coni portio altitudinem ha
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bens, ita ut portiones relictæ minores ſint ſolido a, quem
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admodum docetur in duodecimo libro elementorum pro
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poſitione undecima. </
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<
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id
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">erit pyramis x adhuc pyramide y ma
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ior. </
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">& quoniam piramides æque altæ inter ſe ſunt, ſicuti ba
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ſes; pyramis x ad piramidem y eandem proportionem ha
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bet, quàm figura rectilinea x ad figuram y. </
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