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

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        </div>
        <div xml:id="echoid-div131" type="section" level="1" n="104">
          <head xml:id="echoid-head113" xml:space="preserve">PRAGMATIA.</head>
          <p>
            <s xml:id="echoid-s765" xml:space="preserve">Inveniendum eſt, ex 11 propoſitio-
              <lb/>
              <figure xlink:label="fig-527.01.026-01" xlink:href="fig-527.01.026-01a" number="38">
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            nis doctrinâ, firmitudinis punctum, ſu-
              <lb/>
            per quo quemvis datum ſitum axis reti-
              <lb/>
            net, ſitq́ue N, hinc recta D N ducen-
              <lb/>
            da, perpendicularisq́; </s>
            <s xml:id="echoid-s766" xml:space="preserve">E O, ſecans N D
              <lb/>
            in O, poſtea ratio N O ad O D expen-
              <lb/>
            denda, ſitq́ue 1 ad 2, ex D igitur pon-
              <lb/>
            dere P 6 ℔ ſuſpenſo, quod ad columnã
              <lb/>
            unà cum G, H ponderibus, quæ ſimul
              <lb/>
            12 ℔ pendent, eam rationem habeat,
              <lb/>
            quæ eſt 1 ad 2, dico P 6 ℔ quæſitum
              <lb/>
            pondus eſſe.</s>
            <s xml:id="echoid-s767" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div133" type="section" level="1" n="105">
          <head xml:id="echoid-head114" xml:space="preserve">DEMONSTRATIO.</head>
          <p>
            <s xml:id="echoid-s768" xml:space="preserve">Gravius pondus 12 ℔ radii O N, il-
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            lam rationem habet ad levius 6 ℔ radii
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            O D, quam longior radius O D ad bre-
              <lb/>
            viorem O N. </s>
            <s xml:id="echoid-s769" xml:space="preserve">Igitur ex anſa E F ſitu
              <lb/>
            æquipondia dependent per 1 propoſit.
              <lb/>
            </s>
            <s xml:id="echoid-s770" xml:space="preserve">& </s>
            <s xml:id="echoid-s771" xml:space="preserve">per conſequens axis I K datum ſitum
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            ſervat.</s>
            <s xml:id="echoid-s772" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div134" type="section" level="1" n="106">
          <head xml:id="echoid-head115" xml:space="preserve">2 Exemplum.</head>
          <p>
            <s xml:id="echoid-s773" xml:space="preserve">Columna A B C D 6 ℔ pendeat, cujus firmitudinis punctum E, anſa E F
              <lb/>
            G pondus 2 ℔, I pondus 1 ℔, firmitu-
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            dinis punctum illius H, hujus verò K,
              <lb/>
              <figure xlink:label="fig-527.01.026-02" xlink:href="fig-527.01.026-02a" number="39">
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            axis L M, parallelus horizonti N O.
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            </s>
            <s xml:id="echoid-s774" xml:space="preserve">Punctum autem P in columnâ quæſi-
              <lb/>
            tus locus eſto. </s>
            <s xml:id="echoid-s775" xml:space="preserve">Hinc axis L M (univer-
              <lb/>
            ſis in puncto E mobilibus) ut in ſecun-
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            dâ formulâ ſuſtollitur.</s>
            <s xml:id="echoid-s776" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s777" xml:space="preserve">Q*VAE SITVM*. </s>
            <s xml:id="echoid-s778" xml:space="preserve">è P ſuſpendendum
              <lb/>
            pondus, quod axem L M in dato ſitu
              <lb/>
            ſervet.</s>
            <s xml:id="echoid-s779" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div136" type="section" level="1" n="107">
          <head xml:id="echoid-head116" xml:space="preserve">PRAGMATIA.</head>
          <p>
            <s xml:id="echoid-s780" xml:space="preserve">Firmitudinis punctum, ex 11 propo-
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            ſitionis doctrinâ, invenitor, in quo ſi
              <lb/>
            vertitur, datus ſitus quilibet retinetur.
              <lb/>
            </s>
            <s xml:id="echoid-s781" xml:space="preserve">eſto autĕ Q. </s>
            <s xml:id="echoid-s782" xml:space="preserve">Hinc P Q ducitur, perpen-
              <lb/>
            dicularisq́ue E R, ſecans P Q in R,
              <lb/>
            inventaq́ue ratione R Q ad R P, eſto
              <lb/>
            autem 1 ad 2, de P põdus S 4 {1/2} ℔, ſuſpen-
              <lb/>
            ditur, eâ ſcilicet ratione ad </s>
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