Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

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          <pb o="60" file="527.01.060" n="60" rhead="2 LIBER STATICÆ"/>
        </div>
        <div xml:id="echoid-div277" type="section" level="1" n="198">
          <head xml:id="echoid-head211" xml:space="preserve">PRAGMATIA.</head>
          <p>
            <s xml:id="echoid-s1823" xml:space="preserve">Quadrangulum rectâ A C in duo triangula dividun-
              <lb/>
            dum eſt, & </s>
            <s xml:id="echoid-s1824" xml:space="preserve">cujusq́ue gravitatis centrum, per 3 propoſit. </s>
            <s xml:id="echoid-s1825" xml:space="preserve">in-
              <lb/>
              <figure xlink:label="fig-527.01.060-01" xlink:href="fig-527.01.060-01a" number="97">
                <image file="527.01.060-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.060-01"/>
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            veniendum: </s>
            <s xml:id="echoid-s1826" xml:space="preserve">trianguli A B C eſto E, A C D vero F, re-
              <lb/>
            ctaq́ue E F jugum , hinc duo quadrãgula
              <note symbol="*" position="left" xlink:label="note-527.01.060-01" xlink:href="note-527.01.060-01a" xml:space="preserve">45 propoſ.
                <lb/>
              z. lib. Euclid.</note>
            ma æquæalta cõſtituenda, ut G H I K & </s>
            <s xml:id="echoid-s1827" xml:space="preserve">G H L M, æqua-
              <lb/>
            lia triangulis, illud quidem A C D hoc vero A C B, de-
              <lb/>
              <note position="left" xlink:label="note-527.01.060-02" xlink:href="note-527.01.060-02a" xml:space="preserve">10. propoſ.
                <lb/>
              G. lib. Euclid.</note>
            nique jugo F E in N ita ſecto, utradius N E ſit ad radium
              <lb/>
            N F: </s>
            <s xml:id="echoid-s1828" xml:space="preserve">quemadmodum HI, ad HL: </s>
            <s xml:id="echoid-s1829" xml:space="preserve">N quæſitum gravi-
              <lb/>
            tatis centrum eſſe dico.</s>
            <s xml:id="echoid-s1830" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div279" type="section" level="1" n="199">
          <head xml:id="echoid-head212" xml:space="preserve">2 Exemplum.</head>
          <p>
            <s xml:id="echoid-s1831" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s1832" xml:space="preserve">A B C D F inordinatum quinquangulum eſto.</s>
            <s xml:id="echoid-s1833" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1834" xml:space="preserve">Q*VÆSITVM*. </s>
            <s xml:id="echoid-s1835" xml:space="preserve">Gravitatis centrum quærendum eſt.</s>
            <s xml:id="echoid-s1836" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div280" type="section" level="1" n="200">
          <head xml:id="echoid-head213" xml:space="preserve">PRAGMATIA.</head>
          <p>
            <s xml:id="echoid-s1837" xml:space="preserve">Ductâ A C, centrum gravitatis trianguli A C B,
              <lb/>
            per 1 propoſitionem, inveniendũ ſit vero F: </s>
            <s xml:id="echoid-s1838" xml:space="preserve">itemq́ue
              <lb/>
              <figure xlink:label="fig-527.01.060-02" xlink:href="fig-527.01.060-02a" number="98">
                <image file="527.01.060-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.060-02"/>
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            quadranguli A C D E, per 1 hujus exemplum, ſitq́ue
              <lb/>
            G, & </s>
            <s xml:id="echoid-s1839" xml:space="preserve">recta F G jugum, hinc duo quadrangula paral-
              <lb/>
            lelogramma æquealta conſtituenda, ut H I K L & </s>
            <s xml:id="echoid-s1840" xml:space="preserve">
              <lb/>
            HIM N, quorum illud quadrangulo A C D E iſtud
              <lb/>
            vero triangulo A C B æquetur. </s>
            <s xml:id="echoid-s1841" xml:space="preserve">Denique jugo G F
              <lb/>
            diviſo in O, ut radius O F ſitad radium O G; </s>
            <s xml:id="echoid-s1842" xml:space="preserve">quem-
              <lb/>
            admodum I K ad IM: </s>
            <s xml:id="echoid-s1843" xml:space="preserve">O quæſitum gravitatis cen-
              <lb/>
            trum eſſe ajo.</s>
            <s xml:id="echoid-s1844" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div282" type="section" level="1" n="201">
          <head xml:id="echoid-head214" xml:space="preserve">3 Exemplum.</head>
          <p>
            <s xml:id="echoid-s1845" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s1846" xml:space="preserve">A B C D E F inordinatum ſexangulum eſto.</s>
            <s xml:id="echoid-s1847" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1848" xml:space="preserve">Q*VÆSITVM*. </s>
            <s xml:id="echoid-s1849" xml:space="preserve">Gravitatis centrum nobis quærendum eſt.</s>
            <s xml:id="echoid-s1850" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div283" type="section" level="1" n="202">
          <head xml:id="echoid-head215" xml:space="preserve">PRAGMATIA.</head>
          <p>
            <s xml:id="echoid-s1851" xml:space="preserve">Ductâ A C gravitatis centrum trianguli A C B,
              <lb/>
              <figure xlink:label="fig-527.01.060-03" xlink:href="fig-527.01.060-03a" number="99">
                <image file="527.01.060-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.060-03"/>
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            per 3 propoſit. </s>
            <s xml:id="echoid-s1852" xml:space="preserve">quærendum, eſtq́ue G, nec non & </s>
            <s xml:id="echoid-s1853" xml:space="preserve">
              <lb/>
            quinquanguli A C D E F, per 2 exemplum hujus,
              <lb/>
            eſtq́ue H. </s>
            <s xml:id="echoid-s1854" xml:space="preserve">& </s>
            <s xml:id="echoid-s1855" xml:space="preserve">recta G H jugum. </s>
            <s xml:id="echoid-s1856" xml:space="preserve">Deinde duo quadran-
              <lb/>
            gula parallelogramma æquealta fabricanda ſunt, ut
              <lb/>
            I K L M æquale quinquãgulo A C D E F, & </s>
            <s xml:id="echoid-s1857" xml:space="preserve">I K N O
              <lb/>
            æquale triangulo A C B: </s>
            <s xml:id="echoid-s1858" xml:space="preserve">diviſoq́ue jugo H G in P,
              <lb/>
            ut P G radius illam rationem habe
              <unsure/>
            at ad P H radium;
              <lb/>
            </s>
            <s xml:id="echoid-s1859" xml:space="preserve">quæ eſt K L ad K N: </s>
            <s xml:id="echoid-s1860" xml:space="preserve">P quæſitum gravitatis centrum
              <lb/>
            eſſe dico. </s>
            <s xml:id="echoid-s1861" xml:space="preserve">Atque iſta pragmatiæ ratio in reliquis mul-
              <lb/>
            tilateris planis planiſſime eadem eſt.</s>
            <s xml:id="echoid-s1862" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div285" type="section" level="1" n="203">
          <head xml:id="echoid-head216" xml:space="preserve">NOTATO</head>
          <p>
            <s xml:id="echoid-s1863" xml:space="preserve">Etſi hactenus exempla fuere, in quibus datum planum in quadrangula pa-
              <lb/>
            rallelogramma æquealta mutatur, poſſe tamen abſque transfiguratione hujuſ-
              <lb/>
            modirem expediri: </s>
            <s xml:id="echoid-s1864" xml:space="preserve">ejusq́ue rei nos varia exempla ſubjungere.</s>
            <s xml:id="echoid-s1865" xml:space="preserve"/>
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