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

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          <pb o="14" file="527.01.014" n="14" rhead="1 L*IBER* S*TATICÆ*"/>
          <p>
            <s xml:id="echoid-s321" xml:space="preserve">Deniq; </s>
            <s xml:id="echoid-s322" xml:space="preserve">EFDA & </s>
            <s xml:id="echoid-s323" xml:space="preserve">EFBC tertiimodi mutatis, pro illo corpus plumbeum,
              <lb/>
            pro hoc ligneum ejuſdem ponderis ſuſpĕduntor,
              <lb/>
              <figure xlink:label="fig-527.01.014-01" xlink:href="fig-527.01.014-01a" number="15">
                <image file="527.01.014-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.014-01"/>
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            eritq́ue modus quartus, uthîcvidere eſt. </s>
            <s xml:id="echoid-s324" xml:space="preserve">Iugum
              <lb/>
            in eodem ſitu manere, ideoq́; </s>
            <s xml:id="echoid-s325" xml:space="preserve">EFDA & </s>
            <s xml:id="echoid-s326" xml:space="preserve">EFCB
              <lb/>
            ſitu æquipondia, radiosq́ue ejuſdem rationis eſſe
              <lb/>
            nemini dubium eſſe poteſt.</s>
            <s xml:id="echoid-s327" xml:space="preserve"/>
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        <div xml:id="echoid-div60" type="section" level="1" n="51">
          <head xml:id="echoid-head60" xml:space="preserve">3 Exemplum.</head>
          <p>
            <s xml:id="echoid-s328" xml:space="preserve">Ponderibus corporeo etiam jugo ſuſpenſis
              <lb/>
            idem demonſtrari poteſt, & </s>
            <s xml:id="echoid-s329" xml:space="preserve">quidem iſto pacto.
              <lb/>
            </s>
            <s xml:id="echoid-s330" xml:space="preserve">Columna ABCD plano per axem EF eſto bi-
              <lb/>
            ſecta, axisq́ue inferioris biſegmĕti EC, eſto GH. </s>
            <s xml:id="echoid-s331" xml:space="preserve">
              <lb/>
            EC porro ſecta plano IK, ad baſin ED
              <lb/>
              <figure xlink:label="fig-527.01.014-02" xlink:href="fig-527.01.014-02a" number="16">
                <image file="527.01.014-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.014-02"/>
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            parallelo, axem GH ſecante in L, cen-
              <lb/>
            trúmque gravitatis ſegmĕti IKDE eſto
              <lb/>
            M, in medio GL, ſegmĕti verò IKCF
              <lb/>
            ſit N, in medio LH, O denique totius
              <lb/>
            ABCD, in medio EF. </s>
            <s xml:id="echoid-s332" xml:space="preserve">OP gravitatis
              <lb/>
            diameter, totius corporis ABCD, MQ
              <lb/>
            ſegmĕti IKDE, NR ſegmĕti IKCF.
              <lb/>
            </s>
            <s xml:id="echoid-s333" xml:space="preserve">His poſitis, obſcurum eſſe non poteſt,
              <lb/>
            quin columnæ ſegmentum dextrum ſi-
              <lb/>
            niſtro æquilibre ſit ſitu.</s>
            <s xml:id="echoid-s334" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s335" xml:space="preserve">Inferiore ſegmento EFCD deorſum detracto, & </s>
            <s xml:id="echoid-s336" xml:space="preserve">ex MQ & </s>
            <s xml:id="echoid-s337" xml:space="preserve">NR lineis,
              <lb/>
            ut in paradigmate exhibetur, ſuſpenſo, ABFE corporeum jugum antiquum
              <lb/>
            nihilo minus obtinere ſitum dubium non eſt. </s>
            <s xml:id="echoid-s338" xml:space="preserve">Segmentum IKDE ab IKCF
              <lb/>
            diviſum ſingamus, & </s>
            <s xml:id="echoid-s339" xml:space="preserve">utrumque ab altero ita
              <lb/>
              <figure xlink:label="fig-527.01.014-03" xlink:href="fig-527.01.014-03a" number="17">
                <image file="527.01.014-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.014-03"/>
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            ſeparatum, ut quò Natura ſert cadere poſſit,
              <lb/>
            verum cum utrumq; </s>
            <s xml:id="echoid-s340" xml:space="preserve">è ſuo gravitatis centro
              <lb/>
            M, N dependeat, primum obtinebit ſitum
              <lb/>
            per 4 deſinitionem, & </s>
            <s xml:id="echoid-s341" xml:space="preserve">propterea neque in
              <lb/>
            ABFE quicquam mutabitur. </s>
            <s xml:id="echoid-s342" xml:space="preserve">Sed IKDE
              <lb/>
            eandem rationem ad IKCF habere, quam
              <lb/>
            radium OR ad OQ, jam antea experien-
              <lb/>
            tia docuit, adeo quidem ut quod prius in
              <lb/>
            S*TATICO* jugo (hoc eſt lineâ) exhibui-
              <lb/>
            mus, id jam nunc in corporeo exhibeamus. </s>
            <s xml:id="echoid-s343" xml:space="preserve">C*ONCLVSIO*. </s>
            <s xml:id="echoid-s344" xml:space="preserve">Quapropter
              <lb/>
            duarum gravitatum ſitu æquilibrium ponderoſior, illam rationem habet ad
              <lb/>
            leviorem (cujuſcunque vel materiæ, vel formæ ſint corpora) quæ longioris
              <lb/>
            radii eſt ad breviorem, quod nobis demonſtrandum fuit.</s>
            <s xml:id="echoid-s345" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div63" type="section" level="1" n="52">
          <head xml:id="echoid-head61" xml:space="preserve">C*ONSECTARIUM*.</head>
          <p>
            <s xml:id="echoid-s346" xml:space="preserve">E`
              <unsure/>
            primæ propoſitionis converſo conſequens eſt; </s>
            <s xml:id="echoid-s347" xml:space="preserve">Si ponderis gravio-
              <lb/>
            ris ea ratio eſt ad levius, quæ longioris radii ad breviorem, pondera eſſe ſitu
              <lb/>
            æquipondia.</s>
            <s xml:id="echoid-s348" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div64" type="section" level="1" n="53">
          <head xml:id="echoid-head62" xml:space="preserve">1 PROBLEMA. 2 PROPOSITIO.</head>
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            <s xml:id="echoid-s349" xml:space="preserve">Dati & </s>
            <s xml:id="echoid-s350" xml:space="preserve">cogniti ponderis anſam invenire.</s>
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