Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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ita tertia cum ſexta ad quartam; videlicet, vt duo ſoli
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da, & quod ſit ex FH,
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HG, EH, & quod
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ex GK, KF, EK, vnà
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cum duabus tertiis &
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cubi ex EH, & cu
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bi ex EK, ad ſolidum
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ex FE, EG, KH, ita
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erit tota ſphæræ, vel
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ſphæroidis portio AB
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CD, ad cylindrum, vel
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portionem cylindricam
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NO. </
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ſtrandum erat. </
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PROPOSITIO XXI.
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>Omnis trianguli comprehenſi ſectione para
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bola, ex duabus rectis lineis, quarum altera ſe
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ctionem tangat, altera in eam incidat diametro
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ſectionis ex contactu æquidiſtans, centrum graui
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tatis eſt punctum illud, in quo recta linea ex con
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tactu diuidens incidentem ita vt pars, quæ ſectio
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nem attingit ſit ſeſquialtera reliquæ, ſic diui
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ditur, vt pars quæ eſt ad contactum ſit tripla
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reliquæ. </
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<
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>Sit triangulum ABC comprehenſum ſectione parabo
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la ADB, & duabus rectis lineis, quarum altera AC tan
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gat ſectionem in puncto A, reliqua autem BC, in eam
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incidens in puncto B, ſectionis diametro ex puncto A,
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æquidiſtans intelligatur: & per centrum grauitatis trian-</
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