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

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          <pb o="16" file="527.01.016" n="16" rhead="*I* L*IBER* S*TATICÆ*"/>
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        <div xml:id="echoid-div72" type="section" level="1" n="61">
          <head xml:id="echoid-head70" xml:space="preserve">4 Exemplum.</head>
          <p>
            <s xml:id="echoid-s390" xml:space="preserve">*Datvm.</s>
            <s xml:id="echoid-s391" xml:space="preserve">* ABCD columna eſto, partita, ut prius, pendeatq́ue Y 6 ℔ ex
              <lb/>
            X, Z vero 24 ℔ ex R. </s>
            <s xml:id="echoid-s392" xml:space="preserve">*QVAESITVM.</s>
            <s xml:id="echoid-s393" xml:space="preserve">* Anſa quærenda eſt.</s>
            <s xml:id="echoid-s394" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div73" type="section" level="1" n="62">
          <head xml:id="echoid-head71" xml:space="preserve">PRAGMATIA.</head>
          <p>
            <s xml:id="echoid-s395" xml:space="preserve">Diametros pendula põderis ABCDY
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              <figure xlink:label="fig-527.01.016-01" xlink:href="fig-527.01.016-01a" number="21">
                <image file="527.01.016-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.016-01"/>
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            eſt L V, ex 3 exemplo, ponderis autem
              <lb/>
            Z, R E, R V itaque jugum in duo ſe-
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            gmenta ſecandum, ut ratio illorum ſit 12
              <lb/>
            A B C D Y ad 24 Z. </s>
            <s xml:id="echoid-s396" xml:space="preserve">& </s>
            <s xml:id="echoid-s397" xml:space="preserve">à pendulâ dia-
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            metro quæ incidet in S, brevius ſegmen-
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            tum gravius pondus verſus ſit, eritq́; </s>
            <s xml:id="echoid-s398" xml:space="preserve">S G
              <lb/>
            quæſita anſa.</s>
            <s xml:id="echoid-s399" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div75" type="section" level="1" n="63">
          <head xml:id="echoid-head72" xml:space="preserve">PRAGMATIA ALIVSMODI.</head>
          <p>
            <s xml:id="echoid-s400" xml:space="preserve">PEndula gravitatis diametros ponderis A B C D Z eſto Æ W ex 3 propo-
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            ſitione, ut S Æ valeat {2/3} S R, pendulaq́ue diametros Y, X N eſto, jugum
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            vero Æ X ita partitum ut ſegmentorum ratio ſit 30 ℔ A B C D Z ad 6 ℔ Y,
              <lb/>
            & </s>
            <s xml:id="echoid-s401" xml:space="preserve">illorum brevius ponderum gravius verſus ſità pendula diametro, quæ eſt S,
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            atque iſto pacto S G quæſita erit anſa.</s>
            <s xml:id="echoid-s402" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div76" type="section" level="1" n="64">
          <head xml:id="echoid-head73" xml:space="preserve">PRAGMATIA ALIVSMODI.</head>
          <p>
            <s xml:id="echoid-s403" xml:space="preserve">PEndula gravitatis diametros Y Z (per primum exemplum) eſt Φ Δ, ut S Φ
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            ſit {1/5} S R, & </s>
            <s xml:id="echoid-s404" xml:space="preserve">columnæ diametros pendula T I, & </s>
            <s xml:id="echoid-s405" xml:space="preserve">T Φ jugum ita partitum,
              <lb/>
            ut ratio ſegmentorum ſit 30 ℔ Y cum Z, ad 6 ℔ columnæ, & </s>
            <s xml:id="echoid-s406" xml:space="preserve">S G hoc modo,
              <lb/>
            ut prius, erit anſa quæſita.</s>
            <s xml:id="echoid-s407" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div77" type="section" level="1" n="65">
          <head xml:id="echoid-head74" style="it" xml:space="preserve">5 Exemplum.</head>
          <p>
            <s xml:id="echoid-s408" xml:space="preserve">*DATVM.</s>
            <s xml:id="echoid-s409" xml:space="preserve">* A B C D columna eſto partita ut prius, & </s>
            <s xml:id="echoid-s410" xml:space="preserve">Y 6 ℔ ex X, Z vero
              <lb/>
            24 ℔ ex R pendeat, & </s>
            <s xml:id="echoid-s411" xml:space="preserve">Æ 12 ℔ è Q. </s>
            <s xml:id="echoid-s412" xml:space="preserve">*QVAESITVM.</s>
            <s xml:id="echoid-s413" xml:space="preserve">* Anſanobis quæ-
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            renda eſt.</s>
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          </p>
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        <div xml:id="echoid-div78" type="section" level="1" n="66">
          <head xml:id="echoid-head75" xml:space="preserve">PRAGMATIA.</head>
          <p>
            <s xml:id="echoid-s415" xml:space="preserve">Diametros pendula A B C D Y Z eſt S G, ex 4 exempliſententiâ, & </s>
            <s xml:id="echoid-s416" xml:space="preserve">Æ,
              <lb/>
            Q B, S Q eſt jugum in duo ſegmenta partiendum ut illorum ratio ſit, quæ eſt
              <lb/>
            36 ℔ columnæ cum Y & </s>
            <s xml:id="echoid-s417" xml:space="preserve">Z, ad 12 ℔ Æ minus ſegmentum pendulam diame-
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            trum verſus gravioris ſegmenti, quæ incidit in T, ut T I anſa ſit quæſita.</s>
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          </p>
          <p>
            <s xml:id="echoid-s419" xml:space="preserve">Si ex P præterea 24 ℔ eſſent ſuſpenſæ, S G eſſet anſa, & </s>
            <s xml:id="echoid-s420" xml:space="preserve">ita deinceps cum
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            quovis alio pondere, quod ex jugo ſuſpendi poteſt.</s>
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