Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <subchap1 n="3" type="proposition">
              <subchap2 n="3" type="proof">
                <pb xlink:href="064/01/065.jpg"/>
                <p type="main">
                  <s id="s.000442">Quoniam AG, AE sunt in duplicata ratione
                    <lb/>
                  ad ag, ae per constr., & quadrata ad, ab
                    <lb/>
                  sunt pariter in duplicata ratione ad ag, ae,
                    <arrow.to.target n="marg108"/>
                    <lb/>
                  erunt AG, AE ut quadrata ad, ab,
                    <arrow.to.target n="marg109"/>
                  & di­
                    <lb/>
                  videndo ut EG ad AE ita ad minus ab, hoc est
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                  gnomon edf, ad ab.
                    <arrow.to.target n="marg110"/>
                  Pari ratione probabimus
                    <lb/>
                  ut AE ad EH esse quadrata ab, ad bd, &
                    <lb/>
                  proinde EG ad EH est ut gnomon edf ad
                    <lb/>
                  quadratum bd
                    <arrow.to.target n="marg111"/>
                  unde HG, ad EG, ut com­
                    <lb/>
                  plementa gb, bf ad gnomonem edf,
                    <arrow.to.target n="marg112"/>
                  at EG
                    <lb/>
                  ad AE sunt ut gnomon edf ad quadratum ab,
                    <lb/>
                  ut probatum est supra, ergo HG, seu EI
                    <lb/>
                  ipsi
                    <lb/>
                  aequalis per constr. ad AE est ut dicta comple­
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                  menta gb, bf, ad quadratum ab,
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                  bisk seu
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                  ut gb ad ab,
                    <emph type="sup"/>
                  1
                    <emph.end type="sup"/>
                  seu ut eg ad ae,m seu eh, ei
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                  aequale per constr. </s>
                  <s id="s.000443">Quod, etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000444">
                    <margin.target id="marg108"/>
                  Per 20. sexti.</s>
                </p>
                <p type="margin">
                  <s id="s.000445">
                    <margin.target id="marg109"/>
                  Per 11. Quinti.</s>
                </p>
                <p type="margin">
                  <s id="s.000446">
                    <margin.target id="marg110"/>
                  Per 17. Quinti.</s>
                </p>
                <p type="margin">
                  <s id="s.000447">
                    <margin.target id="marg111"/>
                  Per 22. Quinti.</s>
                </p>
                <p type="margin">
                  <s id="s.000448">
                    <margin.target id="marg112"/>
                  Per 19. Quinti.</s>
                </p>
                <p type="margin">
                  <s id="s.000449">
                    <margin.target id="marg113"/>
                  Per 22. Quinti.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000450">Corollarium Primum</s>
                </p>
                <p type="main">
                  <s id="s.000451">Si portio temporis eh non sit immediata tempori
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                  ae sed ab ea seiuncta, puta in schemate propo­
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                  sitionis secundae gK, reperto in EB spatio IN</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>