Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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fruſtum ad. </
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">Sed pyramis q æqualis eſt fruſto à pyramide
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abſciſſo, ut demonſtrauimus. </
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">ergo & conus, uel coni por
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tio q, cuius baſis ex tribus circulis, uel ellipſibus ab, ef, cd
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conſtat, & altitudo eadem, quæ fruſti: ipſi fruſto ad eſt æ
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qualis. </
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">atque illud eſt, quod demonſtrare oportebat.</
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9 huius</
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2. duode
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cimi.</
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7. de co
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noidibus
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& ſphæ
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roidibus</
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6. II. duo
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decimi</
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">CVIVSLIBET fruſti à pyramide, uel cono,
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uel coni portione abſcisſi, centrum grauitatis eſt
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in axe, ita ut eo primum in duas portiones diui
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ſo, portio ſuperior, quæ minorem baſim attingit
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ad portionem reliquam eam habeat proportio
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nem, quam duplum lateris, uel diametri maioris
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baſis, vnà cum latere, uel diametro minoris, ipſi
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reſpondente, habet ad duplum lateris, uel diame
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tri minoris baſis vnà
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latere, uel diametro ma
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ioris: deinde à puncto diuiſionis quarta parte ſu
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perioris portionis in ipſa ſumpta: & rurſus ab in
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ferioris portionis termino, qui eſt ad baſim maio
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rem, ſumpta quarta parte totius axis: centrum ſit
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in linea, quæ his finibus continetur, atque in eo li
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tem propinquiorem minori baſi,
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eãdem
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propor
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tionem habeat, quam fruſtum ad
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pyramidẽ
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, uel
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conum, uel coni portionem, cuius baſis ſit ea
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dem, quæ baſis maior, & altitudo fruſti altitudini
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æqualis.</
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