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

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              <pb o="118" file="527.01.118" n="118" rhead="4 L*IBER* S*TATICÆ*"/>
            aquæ magnitudine ſibi æqualis levius eſt in aqua BC quam foret in aëre. </s>
            <s xml:id="echoid-s3412" xml:space="preserve">Quod
              <lb/>
            demonſtraſſe oportuit.</s>
            <s xml:id="echoid-s3413" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div486" type="section" level="1" n="349">
          <head xml:id="echoid-head366" xml:space="preserve">2 PROBLEMA. 9 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s3414" xml:space="preserve">Data corporis ſolidi gravitate, ejusque materiæ ponde-
              <lb/>
            ritatis ratione ad ponderitatem aqueam; </s>
            <s xml:id="echoid-s3415" xml:space="preserve">ejuſdem in aqua
              <lb/>
            ſitus gravitatem invenire.</s>
            <s xml:id="echoid-s3416" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div487" type="section" level="1" n="350">
          <head xml:id="echoid-head367" style="it" xml:space="preserve">1 Exemplum cum corpus ſolidum materiæ levioris erit
            <lb/>
          quam aqua.</head>
          <p>
            <s xml:id="echoid-s3417" xml:space="preserve">D*ATVM.</s>
            <s xml:id="echoid-s3418" xml:space="preserve">* Aqua AB, corpus ſolidum Cpendens 2 ℔, hinc ponderitatis
              <lb/>
            aqueæ ad corporis ſolidi materiæ ponderitatem ratio quintupla eſto.</s>
            <s xml:id="echoid-s3419" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3420" xml:space="preserve">Q*VAESITVM.</s>
            <s xml:id="echoid-s3421" xml:space="preserve">* Invenire ſolidi C ſitus gravitatem in aqua AB.</s>
            <s xml:id="echoid-s3422" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div488" type="section" level="1" n="351">
          <head xml:id="echoid-head368" xml:space="preserve">CONSTRVCTIO.</head>
          <figure number="162">
            <image file="527.01.118-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.118-01"/>
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          <p>
            <s xml:id="echoid-s3423" xml:space="preserve">Quanta gravitas ſit aqueæ molis ipſi C æqualis ex-
              <lb/>
            pendito, ea erit bis quinarũ librarú hoc eſt 10 ℔ quibus
              <lb/>
            deductis de 2 ℔, relinquentur -- 8 ℔ ſolidi corporis
              <lb/>
            C, quæ ſunt levitas ſeu aſcenſus corporis C in data
              <lb/>
            aqua AB.</s>
            <s xml:id="echoid-s3424" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3425" xml:space="preserve">Sed ut clarius exprimam, cogitatione fingito C in
              <lb/>
            aquam AB immiſſum, contra quod, ut in diagramma-
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            te perſpicis, ſuſpenſum ſit pondus D 8 ℔ hocſitu D & </s>
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              <lb/>
            C æquiponderabunt.</s>
            <s xml:id="echoid-s3427" xml:space="preserve"/>
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        <div xml:id="echoid-div489" type="section" level="1" n="352">
          <head xml:id="echoid-head369" xml:space="preserve">2 Exemplum cum ſolidum corpus materiæ gravioris erit
            <lb/>
          quam aqua, cujus pragmatia antecedenti affinis eſt.</head>
          <p>
            <s xml:id="echoid-s3428" xml:space="preserve">D*ATVM.</s>
            <s xml:id="echoid-s3429" xml:space="preserve">* Ratio ponderitatis aqueæ, ut ſupra AB, ad ponderitatem ma-
              <lb/>
            teriæ ſolidi C nunc ſumitor ſubquadrupla, atque ipſum corpus C 12 ℔.</s>
            <s xml:id="echoid-s3430" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3431" xml:space="preserve">Q*VAESITVM.</s>
            <s xml:id="echoid-s3432" xml:space="preserve">* Invenire ſolidi ſitus gravitatem in aqua AB.</s>
            <s xml:id="echoid-s3433" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div490" type="section" level="1" n="353">
          <head xml:id="echoid-head370" xml:space="preserve">CONSTRVCTIO.</head>
          <figure number="163">
            <image file="527.01.118-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.118-02"/>
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          <p>
            <s xml:id="echoid-s3434" xml:space="preserve">Conſiderato quanta ſit gravitas aquæ magnitudinis
              <lb/>
            ipſi C æqualis, eaque deprehendetur {1/3} 12 librarum quas
              <lb/>
            C pendet, eæ igitur erunt 3 ℔, quæ deductæ de 12 ℔ ſo-
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            lidi C, reliquas faciunt 9 ℔ pro pondere C in aqua AB.</s>
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          </p>
          <p>
            <s xml:id="echoid-s3436" xml:space="preserve">Cujus illuſtrandi gratia aquæ AB immergatur cor-
              <lb/>
            pus C, cui ex oppoſito ſuſpendatur D 9 ℔; </s>
            <s xml:id="echoid-s3437" xml:space="preserve">hoc ſitu D
              <lb/>
            & </s>
            <s xml:id="echoid-s3438" xml:space="preserve">C æquiponderabunt.</s>
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