Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605
page |< < (25) of 197 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div125" type="section" level="1" n="100">
          <pb o="25" file="527.01.025" n="25" rhead="*DE* S*TATICÆ ELEMENTIS.*"/>
        </div>
        <div xml:id="echoid-div126" type="section" level="1" n="101">
          <head xml:id="echoid-head110" xml:space="preserve">PRAGMATIA.</head>
          <p>
            <s xml:id="echoid-s749" xml:space="preserve">Iugum G I ponderum F, H
              <lb/>
              <figure xlink:label="fig-527.01.025-01" xlink:href="fig-527.01.025-01a" number="36">
                <image file="527.01.025-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.025-01"/>
              </figure>
            lineetur, hinc radii 2 propoſi-
              <lb/>
            tionis adjumento inveniantur,
              <lb/>
            quorum K I ad K G ratio ſit,
              <lb/>
            quæ eſt F 1 ℔ ad H 4 ℔, tum
              <lb/>
            F K, hinc columnæ, inde pon-
              <lb/>
            derum F & </s>
            <s xml:id="echoid-s750" xml:space="preserve">H, jugum ducatur,
              <lb/>
            ita fectum in L, ut radius E L
              <lb/>
            ſit ad L K: </s>
            <s xml:id="echoid-s751" xml:space="preserve">quemadmodũ 5 ℔
              <lb/>
            F, & </s>
            <s xml:id="echoid-s752" xml:space="preserve">H ad 10 ℔ columnæ. </s>
            <s xml:id="echoid-s753" xml:space="preserve">L
              <lb/>
            optatum erit punctum, in quo
              <lb/>
            quemlibet datum ſitum ſerva-
              <lb/>
            bunt, cujus demonſtratio ex 7
              <lb/>
            propoſitione manifeſta eſt.</s>
            <s xml:id="echoid-s754" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div128" type="section" level="1" n="102">
          <head xml:id="echoid-head111" xml:space="preserve">7 PROBLEMA. 12 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s755" xml:space="preserve">Datis, notâ columnâ cum firmitudinis puncto, notis
              <lb/>
            item ponderibusinde ſuſpenſis, quę axem horizonti paral-
              <lb/>
            lelum ſervant: </s>
            <s xml:id="echoid-s756" xml:space="preserve">pondus invenire, quod optato columnæ
              <lb/>
            loco ſuſpenſum axem in dato ſitu ſervabit.</s>
            <s xml:id="echoid-s757" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div129" type="section" level="1" n="103">
          <head xml:id="echoid-head112" xml:space="preserve">1 Exemplum.</head>
          <p>
            <s xml:id="echoid-s758" xml:space="preserve">D*ATVM.</s>
            <s xml:id="echoid-s759" xml:space="preserve">* A B C D columna 6 ℔
              <lb/>
            pendeat, cujus firmitudinis punctum E,
              <lb/>
              <figure xlink:label="fig-527.01.025-02" xlink:href="fig-527.01.025-02a" number="37">
                <image file="527.01.025-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.025-02"/>
              </figure>
            anſa verò E F, duoq́ue pondera G, H
              <lb/>
            quorum utrumque 3 ℔ ſit, I K axis ad
              <lb/>
            horizontem L M parallelus, D optati lo-
              <lb/>
            ci punctus. </s>
            <s xml:id="echoid-s760" xml:space="preserve">Axis denique I K (univer-
              <lb/>
            ſa in puncto E mobilia intellige) ſuſtol-
              <lb/>
            latur ut in ſecundâ formulâ.</s>
            <s xml:id="echoid-s761" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s762" xml:space="preserve">Q*VAESITVM.</s>
            <s xml:id="echoid-s763" xml:space="preserve">* Inveniendum nobis
              <lb/>
            pondus eſt, quod ſuſpenſum è D, axem
              <lb/>
            in dato ſitu teneat.</s>
            <s xml:id="echoid-s764" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>