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

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            <s xml:id="echoid-s2820" xml:space="preserve">
              <pb o="93" file="527.01.093" n="93" rhead="*DE* S*TATICÆ PRAXI.*"/>
            haſtile eſt 12 ℔, itaque manus
              <lb/>
            potĕtia tanta erit quanta pon-
              <lb/>
              <figure xlink:label="fig-527.01.093-01" xlink:href="fig-527.01.093-01a" number="134">
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            dus 6 ℔ ab H dependentium.</s>
            <s xml:id="echoid-s2821" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2822" xml:space="preserve">Sed ſi ab haſtili ex K depen-
              <lb/>
            deat jucundum raptori præ-
              <lb/>
            mium gallus I 3 ℔ ut K G
              <lb/>
            ipſius G H ſit tripla palam eſt
              <lb/>
            prædam 9 ℔ pondus adjicere,
              <lb/>
            atque univerſim manus po-
              <lb/>
            tentiam 15 ℔ præmere.</s>
            <s xml:id="echoid-s2823" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2824" xml:space="preserve">Verùm hæc manu recta
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            deorſum premente intelligan-
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            tur, atqui ſi in obliquum duca-
              <lb/>
            tur, quæ ratio erit rectà deſcĕ-
              <lb/>
            dentis ad deſcendentem obliquè, ea erit per 21 propoſ. </s>
            <s xml:id="echoid-s2825" xml:space="preserve">I lib. </s>
            <s xml:id="echoid-s2826" xml:space="preserve">ſtatices ponde-
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            ris recti deſcendentis ad deſcendens obliquè, unde reliqua per ejuſdem lib.
              <lb/>
            </s>
            <s xml:id="echoid-s2827" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s2828" xml:space="preserve">22. </s>
            <s xml:id="echoid-s2829" xml:space="preserve">perſpiciuntur.</s>
            <s xml:id="echoid-s2830" xml:space="preserve"/>
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        <div xml:id="echoid-div402" type="section" level="1" n="290">
          <head xml:id="echoid-head305" xml:space="preserve">4 Exemplum.</head>
          <p>
            <s xml:id="echoid-s2831" xml:space="preserve">Hactenus quidem affectiones expoſitæ nobis ſunt, ubi utrimque à ſirmitu-
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            dinis puncto ſcapi extenduntur. </s>
            <s xml:id="echoid-s2832" xml:space="preserve">ſequitur unicum unici ſcapi exemplum.</s>
            <s xml:id="echoid-s2833" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2834" xml:space="preserve">D*ATVM.</s>
            <s xml:id="echoid-s2835" xml:space="preserve">* A B axis eſto ſcapi 10 pedes longi pondere 400 ℔, fixi termino
              <lb/>
            A cætera verò mobilis, cui pondus 1000 ℔ infideat & </s>
            <s xml:id="echoid-s2836" xml:space="preserve">ſcapi quidem ſeu vectis
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            gravitatis diameter ſit C D, ponderis vero F G. </s>
            <s xml:id="echoid-s2837" xml:space="preserve">Quæritur quantis viribus ad
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            B, pondus E commoveatur.</s>
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          <figure number="135">
            <image file="527.01.093-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.093-02"/>
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        <div xml:id="echoid-div403" type="section" level="1" n="291">
          <head xml:id="echoid-head306" xml:space="preserve">CONSTRVCTIO.</head>
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            <s xml:id="echoid-s2839" xml:space="preserve">Inveſtigato conjunctim utriuſque gravitatis diametrum, jugo G D quæ
              <lb/>
            connectit diametros E G, C D ita diviſo in H, ut ſegmentorum H G, H D
              <lb/>
            ratio ſit quæ vectis 400 ℔ ad onus F 1000 ℔ ſeu quod idem ſit ratione ſubdu-
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            pla-ſubſeſquialtera, Si v. </s>
            <s xml:id="echoid-s2840" xml:space="preserve">g. </s>
            <s xml:id="echoid-s2841" xml:space="preserve">A H aſſumatur pedum 2, concludes ut A B 10 pe-
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            des ad A H 2, ſic onus ponderis & </s>
            <s xml:id="echoid-s2842" xml:space="preserve">vectis 1400 ℔, ad 280 ℔ potentiam videlicet
              <lb/>
            quaad B opus ſit ut cæteris vi æquipolleat, hoc eſt quaſi 280 ℔ attollendæ fo-
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            rent, cujus demonſtratio è 14 propoſ. </s>
            <s xml:id="echoid-s2843" xml:space="preserve">1 lib. </s>
            <s xml:id="echoid-s2844" xml:space="preserve">Statices manifeſta eſt.</s>
            <s xml:id="echoid-s2845" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2846" xml:space="preserve">Verumenimverò ſi Staticus ſimpliciſſima cauſæ cognitione computum in-
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            ſtituere malit, Iſorropica diagrammata ſibi effingat, ut Geometra ad juvandam
              <lb/>
            memoriam geometrica depingit. </s>
            <s xml:id="echoid-s2847" xml:space="preserve">Sit igitur IK vice vectis decempedalis A B,
              <lb/>
            hinc I L referat bipedalem rectam A H & </s>
            <s xml:id="echoid-s2848" xml:space="preserve">loco H quod centrum gravitatis
              <lb/>
            notat, hic erit L, unde M 1400 ℔ dependent: </s>
            <s xml:id="echoid-s2849" xml:space="preserve">deinde ab 1, quod firmitudinis
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            punctum intelligitor, deſcribatur I N æqualis priori IK, & </s>
            <s xml:id="echoid-s2850" xml:space="preserve">quantum </s>
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