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

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              <pb o="92" file="527.01.092" n="92" rhead="3 L*IBER* S*TATICÆ*"/>
            pendicularetam hoc quam ſequentibus 3 & </s>
            <s xml:id="echoid-s2801" xml:space="preserve">4 exemplis in opere ſufficiat, atta-
              <lb/>
            men quò evidentius ſit centrum ipſum ſumpſimus) tumq́ue ſegmento ABD
              <lb/>
            incumbat pondus H 2000 ℔ cujus gravitatis diameter IK eſto ut K termi-
              <lb/>
            netur in axe C D; </s>
            <s xml:id="echoid-s2802" xml:space="preserve">quæritur potentia quæ ex C, attollat datum pondus H.</s>
            <s xml:id="echoid-s2803" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div397" type="section" level="1" n="287">
          <head xml:id="echoid-head302" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s2804" xml:space="preserve">Oneris H & </s>
            <s xml:id="echoid-s2805" xml:space="preserve">machinæ D A C B ſimulutriuſque gravitatis centrum inve-
              <lb/>
            nies, diviſa K G in L, ut ſegmentorum G L, L K ratio ſit eadem quæ 2000 ℔
              <lb/>
            ad 400 ℔, hoc eſt, 5 ad 1, perpendicularis per L educta eſt gravitatis diameter;
              <lb/>
            </s>
            <s xml:id="echoid-s2806" xml:space="preserve">præterea F C dicis gratia duodecupla aſſumatur ipſius F L, unde concludo, ut
              <lb/>
            FC 12 ad FL 1, ſic 2400 ℔ videlicet vectis & </s>
            <s xml:id="echoid-s2807" xml:space="preserve">oneris conjunctum pondus, ad
              <lb/>
            200 ℔ quæ ex C ſuſpenſæ iſtis æquipondiæ forent iſtoc duntaxat ſitu, poſito
              <lb/>
              <figure xlink:label="fig-527.01.092-01" xlink:href="fig-527.01.092-01a" number="133">
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            enim M centro gravitatis H, & </s>
            <s xml:id="echoid-s2808" xml:space="preserve">aſſurgente ſegmento A B D, non opus erit
              <lb/>
            200 ℔ pondere, cujus illuſtrandi gratia perpendicularis N O per centrum M
              <lb/>
            plano A B D horizonti parallelo terminetur in O, tributa igitur O G in P ut
              <lb/>
            P G itidem quintupla ſit reliqui P O, atque eo ſitu perpendicularis per P edu-
              <lb/>
            cta totius ponderis erit pendula gravitatis diameter, eſto autem F C q́uintupla
              <lb/>
            rectæ F P, unde concludes, ut F C 15 ad F P 1, ſic 2400 ℔ ad 160 ℔ quæ tunc
              <lb/>
            ſitus æquiponderantiam tuebuntur.</s>
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        <div xml:id="echoid-div399" type="section" level="1" n="288">
          <head xml:id="echoid-head303" xml:space="preserve">3 Exemplum.</head>
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            <s xml:id="echoid-s2810" xml:space="preserve">Verumenimverò quia haſtarum ſimiliumve ſcaporum humeris geſtatorum
              <lb/>
            ratio antecedenti exemplo non ſit admodum adſimilis, hanc ipſam tertio para-
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            digmate perſequemur.</s>
            <s xml:id="echoid-s2811" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2812" xml:space="preserve">D*ATVM.</s>
            <s xml:id="echoid-s2813" xml:space="preserve">* Palangrarius humero B geſtet haſtile librarum 12, cujus axis ſit
              <lb/>
            C D, centrum gravitatis E, atque ab haſtilis & </s>
            <s xml:id="echoid-s2814" xml:space="preserve">humeri contactu acta B F ho-
              <lb/>
            rizonti perpendicularis ſecet axem DC in G, manus haſtile rectà deprimens
              <lb/>
            ſtatuitior in puncto axis H, ſitq́ue G H dupla G E.</s>
            <s xml:id="echoid-s2815" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2816" xml:space="preserve">Q*VAESITVM.</s>
            <s xml:id="echoid-s2817" xml:space="preserve">* Quanta potentia manus ſit inquirere.</s>
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        <div xml:id="echoid-div400" type="section" level="1" n="289">
          <head xml:id="echoid-head304" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s2819" xml:space="preserve">Quandoquidem G H dupla eſt ſegmenti G E, etiam pondus ab E, quod
              <lb/>
            eſt haſtilis univerſi duplum erit ejus quod ad H collocatur, videlicet manus; </s>
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