Valerio, Luca, De centro gravitatis solidorvm libri tres
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/119.jpg" pagenum="32"/>
              ipſius MF dimidia: ſed & rectæ BN, FO, triangulorum
                <lb/>
              baſes AC, ED, bifariam ſe­
                <lb/>
              cant; erunt igitur puncta L, M,
                <lb/>
              centra grauitatis triangulorum
                <lb/>
              ABC, DEF, oppoſitorum.
                <lb/>
              </s>
              <s>Priſmatis igitur ABCDEF
                <lb/>
              axis erit LM: quare in eius bi­
                <lb/>
              partiti ſectione priſmatis ABC
                <lb/>
              DEF centrum grauitatis: ſectus
                <lb/>
              autem eſt axis LM bifariam in
                <lb/>
              puncto K; nam ob parallelogram
                <lb/>
              ma eſt vt NH ad HO, ita LK
                <lb/>
              ad KM; priſmatis igitur ABC
                <lb/>
              DEF, centrum grauitatis erit
                <emph type="italics"/>
              K.
                <emph.end type="italics"/>
                <lb/>
              Quod demonſtrandum erat. </s>
            </p>
            <figure id="id.043.01.119.1.jpg" xlink:href="043/01/119/1.jpg" number="91"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XX.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis priſmatis baſim habentis trapezium, cu­
                <lb/>
              ius duo latera inter ſe ſint parallela centrum gra­
                <lb/>
              uitatis rectam lineam, quæ æque inter ſe diſtan­
                <lb/>
              tium parallelogrammorum centra iungit, ita di­
                <lb/>
              uidit, vt pars, quæ dictorum parallelogrammorum
                <lb/>
              minus attingit ſit ad reliquam, vt duorum baſis la
                <lb/>
              terum parallelorum dupla maioris vna cum mino
                <lb/>
              ri ad duplam minoris vna cum maiori. </s>
            </p>
            <p type="main">
              <s>Sit priſma ABCDEFGH, cuius baſis trapezium
                <lb/>
              ABCD, habens duo latera AD, BC, inter ſe paralle­
                <lb/>
              la, ſitque eorum AD maius: parallela igitur erunt inter ſe
                <lb/>
              duo parallelogramma BG, AH. </s>
              <s>Sit parallelogrammi AH
                <lb/>
              centrum K, & BG parallelogrammi centrum L, iuncta-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>