Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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page |< < of 101 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000271">
                <pb pagenum="11" xlink:href="023/01/029.jpg"/>
              & per o ducatur op ad km ipſi hg æquidiſtans. </s>
              <s id="s.000272">Itaque li
                <lb/>
              nea hm
                <expan abbr="bifariã">bifariam</expan>
              uſque eò diuidatur, quoad reliqua ſit pars
                <lb/>
              quædam qm, minor op. </s>
              <s id="s.000273">deinde hm, mg diuidantur in
                <lb/>
              partes æquales ipſi mq: & per diuiſiones lineæ ipſi mK
                <lb/>
              æquidiſtantes ducantur. </s>
              <s id="s.000274">puncta uero, in quibus hæ trian­
                <lb/>
              gulorum latera ſecant, coniungantur ductis lineis rs, tu,
                <lb/>
                <figure id="id.023.01.029.1.jpg" xlink:href="023/01/029/1.jpg" number="21"/>
                <lb/>
              xy; quæ baſi gh æquidiſtabunt. </s>
              <s id="s.000275">Quoniam enim lineæ gz,
                <lb/>
              h
                <foreign lang="grc">α</foreign>
              ſunt æquales:
                <expan abbr="itemq;">itemque</expan>
              æquales gm, mh: ut mg ad gz,
                <lb/>
              ita erit mh, ad h
                <foreign lang="grc">α·</foreign>
              & diuidendo, ut mz ad zg, ita m
                <foreign lang="grc">α</foreign>
              ad
                <lb/>
                <arrow.to.target n="marg36"/>
                <lb/>
                <foreign lang="grc">α</foreign>
              h. </s>
              <s id="s.000276">Sed ut mz ad zg, ita kr ad rg: & ut m
                <foreign lang="grc">α</foreign>
              ad
                <foreign lang="grc">α</foreign>
              h, ita ks
                <lb/>
              ad sh. </s>
              <s id="s.000277">quare ut kr ad rg, ita ks ad sh. </s>
              <s id="s.000278">æquidiſtant igitur
                <lb/>
                <arrow.to.target n="marg37"/>
                <lb/>
              inter ſe ſe rs, gh. </s>
              <s id="s.000279">eadem quoque ratione demonſtrabimus </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>