Valerio, Luca, De centro gravitatis solidorvm libri tres

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              <s>
                <pb xlink:href="043/01/191.jpg" pagenum="12"/>
              tiam partem quadrati DE. </s>
              <s>Abſciſsis enim æqualibus EL
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              ipſi BC, & FM ipſi AC, & EG, ipſi AB, conſtituantur
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              priſmata ABCLEG, AGMFCL, ANHDGM, &
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              pyramis ADGM, & iungatur ML. </s>
              <s>Quoniam igitur ob pa­
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              rallelas EF, GM, & DF, GL, ſimilia inter ſe ſunt trian­
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              gula DEF, DGM, EGL, duplicatam inter ſe habebunt
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              laterum ho mologorum DE, DG, GE, proportionem,
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              hoc eſt eandem, quæ totidem eſt quadratorum ex ipſis DE,
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              DG, GE, prout inter ſe reſpondent: vt igitur DG qua­
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              dratum ad quadratum DE, ita eſt triangulum DGM
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              ad triangulum DEF: eademque ratione vt quadratum
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              GE ad DE quadratum, ita trian
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              gulum EGL ad triangulum D
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              EF: & vt prima cum quinta ad
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              ſecundam, ita tertia cum ſexta ad
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              quartam: videlicet, vt duo qua­
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              drata DG, GE, ad quadratum
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              DE, ita duo triangula DGM,
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              EGL, ad triangulum DEF. &
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              conuertendo, & per conuerſionem
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              rationis, vt quadratum DE ad
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              rectangulum DGE bis, ita trian­
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              gulum DEF, ad parallelogram­
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                <figure id="id.043.01.191.1.jpg" xlink:href="043/01/191/1.jpg" number="143"/>
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              mum GF: & conuertendo, vt rectangulum DGE bis, ad
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              quadratum DE, ita GF parallelogrammum ad triangu­
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              lum DEF: & antecedentium dimidia, vt rectangulum
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              DGE ad quadratum DE, ita triangulum GML ad
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              triangulum DEF; hoc eſt priſma, cuius baſis triangulum
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              GLM, altitudo eadem priſmati H
                <emph type="italics"/>
              K
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              F ad priſma HKF. </s>
            </p>
            <p type="main">
              <s>Rurſus, quoniam eſt vt quadratum EG ad quadratum
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              ED, ita triangulum EGL ad triangulum DEF; erit ſi­
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              militer vt quadratum EG ad quadratum ED, ita priſma
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              BGL ad priſma HKF: ſed vt rectangulum DGE ad
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              quadratum DE, ita priſma erat, cuius baſis triangulum G </s>
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