Ceva, Giovanni
,
Geometria motus
,
1692
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18.
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huius.
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Ex eadem.
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PROP. XXI. THEOR. XVI.
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<
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">PRopoſitis ijſdem ſolidis, erunt inter ſe, vt momenta fi
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gurarum a quibus ſunt, quæ tamen figuræ ſuſpenſæ
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ſint ex longitudinibus deductis ab ipſarum grauitatum̨
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centris vſque ad coeuntium figurarum communes illas ſe
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ctiones. </
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">Figuræ, à quibus ſunt ſolida, ponantur ABC, GLH,
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tra grauitatum illarum M, N; axes, ſiue communes ſectio
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nes coeuntium binarum interſe ſimilium, ac æqualium fi
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gurarum à quibus dicuntur ipſa ſolida; & demum MO, NP
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perpendiculares ſint ab ipſis centris ad illas communes ſe
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ctiones deductæ CE, HL. Dico, ſolidum à plana figurą
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ABC ad ſolidum a plana GHL eandem habere rationem,
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ac momentum figuræ ABC pendentis ex MO ad momen
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tum alterius figuræ ſuſpenſæ ex NP, ſunt enim hæc ſoli
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da interſe, vt rotunda, quorum genetrices figuræ ABC,
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GLH circa axes CE, HL, huiuſmodi verò ſolida ſunt vt
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momenta propoſita; ergo ſolidum à plana figura ABC ad
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ſolidum à plana GLH, erit vt momentum figuræ ABC
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ſuſpenſæ ex MO ad momentum GLH pendentis ex NP.
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Tab.
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6.
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fig.
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10.</
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pr.
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20.
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huius.
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Ter. lem.
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31.
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in libro </
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men. parabolæ.
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Corollarium.
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Cum ipſa illa momenta nectantur ex rationibus figurarum
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ABC, GLH, & ex longitudinibus, ex quibus pendent ipſæ fi
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gura (nam habentur vt grauia) ex ijſdem etiam rationibus
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componentur ſolida, qua ſunt ab ipſis figuris—
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