Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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BF hoc eſt quadratum GH ad quadratum GL: & per
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conuerſionem rationis, vt quadratum BE ad rectangu
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lum BGE bis, vnà cum quadrato BG, ita quadratum
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GH ad rectangulum GLH bis, vnà cum quadrato LH:
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ſed vt quadratum BE ad rectangulum EGB bis, vnà
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cum quadrato BG, ita erat quadratum GH ad quadra
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tum GK; vt igitur quadratum GH ad quadratum GK,
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ita erit idem quadratum GH ad rectangulum GLH bis,
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vnà cum quadrato LH: quadratum igitur GK æquale
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erit rectangulo GLH bis, vnà cum quadrato LH; demptis
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igitur ab eodem quadrato GH æqualibus quadrato GK,
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& rectangulo GLH bis, vnà cum quadrato LH, erit
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rectangulum GKH, bis vnà cum quadrato KH æquale
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quadrato GL. </
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PROPOSITIO III.
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<
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>Per data duo puncta in duabus rectis lineis da
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tum angulum continentibus, in earum plano pa
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rabola tranſibit, cuius vertex ſit aſſignatum præ
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dictorum punctorum, in quo altera linea parabo-</
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