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

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        <div xml:id="echoid-div143" type="section" level="1" n="112">
          <head xml:id="echoid-head121" xml:space="preserve">2 Exemplum obliquorum ponderum.</head>
          <p>
            <s xml:id="echoid-s818" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s819" xml:space="preserve">A firmum anſæ punctum eſto, A B verò & </s>
            <s xml:id="echoid-s820" xml:space="preserve">A C radii, D pon-
              <lb/>
            dus deſcendĕs obliquũ, ex B ſuſpenſum, cujus
              <lb/>
              <figure xlink:label="fig-527.01.028-01" xlink:href="fig-527.01.028-01a" number="42">
                <image file="527.01.028-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.028-01"/>
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            linea deſcendens obliqua B E, è Cautem obli-
              <lb/>
            quum pondus attollens F, ponderi Dæquale,
              <lb/>
            cujus linea attollens obliqua C G, anguliq́ue
              <lb/>
            A B E & </s>
            <s xml:id="echoid-s821" xml:space="preserve">A C G æquentur.</s>
            <s xml:id="echoid-s822" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s823" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s824" xml:space="preserve">Demõſtrandum nobis eſt,
              <lb/>
            D pondus deſcendens obliquum, & </s>
            <s xml:id="echoid-s825" xml:space="preserve">F obli-
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            quum attollens, ex paribus radiis A B, A G æ-
              <lb/>
            quales habere potentias. </s>
            <s xml:id="echoid-s826" xml:space="preserve">P*RAEPARATIO*. </s>
            <s xml:id="echoid-s827" xml:space="preserve">Ex C pondus H deſcendens
              <lb/>
            obliquum ſuſpenditor, æquale ponderi D, & </s>
            <s xml:id="echoid-s828" xml:space="preserve">illius linea C I obliqua deſcen-
              <lb/>
            dens parallela ſit ad B E, & </s>
            <s xml:id="echoid-s829" xml:space="preserve">C B in K continuata.</s>
            <s xml:id="echoid-s830" xml:space="preserve"/>
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        <div xml:id="echoid-div145" type="section" level="1" n="113">
          <head xml:id="echoid-head122" xml:space="preserve">DEMONSTRATIO.</head>
          <p>
            <s xml:id="echoid-s831" xml:space="preserve">Amoto F, dubium non eſt, quin potentia D contra H ſit radios A B, A C
              <lb/>
            in dato ſitu retinere, æquatur enim ipſi H, radii A B, & </s>
            <s xml:id="echoid-s832" xml:space="preserve">A C, itemq́ue angu-
              <lb/>
            li A C I & </s>
            <s xml:id="echoid-s833" xml:space="preserve">K B E æquales ſunt. </s>
            <s xml:id="echoid-s834" xml:space="preserve">Amoto viciſſim D, appenditor F, cujus iti-
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            dem potentia eſt radios A B, A C in dato ſitu retinere quod pondus H æque-
              <lb/>
            tur ponderi F.</s>
            <s xml:id="echoid-s835" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div146" type="section" level="1" n="114">
          <head xml:id="echoid-head123" xml:space="preserve">3 Exemplum.</head>
          <p>
            <s xml:id="echoid-s836" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s837" xml:space="preserve">A firmum anſæ punctum eſto, A B verò & </s>
            <s xml:id="echoid-s838" xml:space="preserve">A C æquales radii,
              <lb/>
            & </s>
            <s xml:id="echoid-s839" xml:space="preserve">de B pondus D obliquè deſcendens, cujus obliqua linea B E, de C verò
              <lb/>
            pondus F obliquè attollens dependeat, cujus linea obliquè attollens ſit C G,
              <lb/>
            angulusq́ue K C G angulo K B E æqualis.</s>
            <s xml:id="echoid-s840" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s841" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s842" xml:space="preserve">Demonſtrandum nobis pondus D obliquè deſcendens,
              <lb/>
            pondúſque F obliquè attollens, in æquales radios A B, A C æqualem po-
              <lb/>
            tentiam obtinere. </s>
            <s xml:id="echoid-s843" xml:space="preserve">P*RAEPARATIO*. </s>
            <s xml:id="echoid-s844" xml:space="preserve">De C pondus H obliquè deſcen-
              <lb/>
            dens, ponderi D æquale, dependeto, cujus obliquè deſcendens linea C I, ut
              <lb/>
            angulus A C I æquet angulum A B E.</s>
            <s xml:id="echoid-s845" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div147" type="section" level="1" n="115">
          <head xml:id="echoid-head124" xml:space="preserve">DEMONSTRATIO.</head>
          <p>
            <s xml:id="echoid-s846" xml:space="preserve">Amoto F, potentiam ponderis D eſſe, ra-
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              <figure xlink:label="fig-527.01.028-02" xlink:href="fig-527.01.028-02a" number="43">
                <image file="527.01.028-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.028-02"/>
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            dios A B, A C in dato ſitu ſervare non eſt inco-
              <lb/>
            gnitum, quod D æquale ſit H, & </s>
            <s xml:id="echoid-s847" xml:space="preserve">A B radius,
              <lb/>
            A C radio, angulúſque A C I angulo A B E.
              <lb/>
            </s>
            <s xml:id="echoid-s848" xml:space="preserve">Amoto viciſſim D, ponderi F appenſo eadem
              <lb/>
            potentia erit, A B & </s>
            <s xml:id="echoid-s849" xml:space="preserve">A C radios in dato ſitu
              <lb/>
            ſervare, quod pondus H ponderi F ſit æquale.</s>
            <s xml:id="echoid-s850" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s851" xml:space="preserve">C*ONCLVSIO*. </s>
            <s xml:id="echoid-s852" xml:space="preserve">Pondus igitur deſcendens,
              <lb/>
            & </s>
            <s xml:id="echoid-s853" xml:space="preserve">attollens illi æquale, æqualibus angulis in
              <lb/>
            æquales radios æqualem potentiam exercent.</s>
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