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

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              <pb o="129" file="527.01.129" n="129" rhead="*DE* H*YDROSTATICES ELEMENTIS*."/>
            parallelum demiſſa. </s>
            <s xml:id="echoid-s3788" xml:space="preserve">Cuius cauſa hæc eſt, quod columna baſis irregularis, planoper pun-
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            ctain oppoſitarum baſium ambitu tranſverſim ὸμο{τα}{γῆ} (ut in columnis baſis regularis)
              <lb/>
            neceſſariò bifariam non dividatur. </s>
            <s xml:id="echoid-s3789" xml:space="preserve">Cæterùm ut generaliter pondus, etiam cuicunqueir-
              <lb/>
            regulari fundo inſidens cognoſcatur, Problema huiuſmodi exigimus.</s>
            <s xml:id="echoid-s3790" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div526" type="section" level="1" n="378">
          <head xml:id="echoid-head395" xml:space="preserve">3 PROBLEMA. 13 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s3791" xml:space="preserve">Aqueam molem ponderi fundo plano, formæ contin-
              <lb/>
            gentis inſidenti æqualem invenire.</s>
            <s xml:id="echoid-s3792" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3793" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s3794" xml:space="preserve">A B fundum planum ſub aqua regularené an irregulare ſit nihil
              <lb/>
            intereſt. </s>
            <s xml:id="echoid-s3795" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s3796" xml:space="preserve">Corpus aqueum, quod ponderi fundo A B inſi-
              <lb/>
            denti æquetur invenire.</s>
            <s xml:id="echoid-s3797" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div527" type="section" level="1" n="379">
          <head xml:id="echoid-head396" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s3798" xml:space="preserve">Plani A B infinitè continuati & </s>
            <s xml:id="echoid-s3799" xml:space="preserve">ſupremæ aqueæ ſuperficiei communis ſe-
              <lb/>
            ctio eſto C, hinc fundi planique alterius & </s>
            <s xml:id="echoid-s3800" xml:space="preserve">horizonti & </s>
            <s xml:id="echoid-s3801" xml:space="preserve">fundo perpendicula-
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            ris communis ſectio per C, ſit C D, ipſiq́ue in plano per D horizonti paralle-
              <lb/>
            lo agatur æqualis D E quæ hujus & </s>
            <s xml:id="echoid-s3802" xml:space="preserve">plani per A B communi lectioni perpen-
              <lb/>
            dicularis ſit: </s>
            <s xml:id="echoid-s3803" xml:space="preserve">deinde plano C D E excitetur perpendiculare planũ per C & </s>
            <s xml:id="echoid-s3804" xml:space="preserve">E.
              <lb/>
            </s>
            <s xml:id="echoid-s3805" xml:space="preserve">Hinc infinita A F circumagatur æquidiſtanter contra D E per ambitum fun-
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                <image file="527.01.129-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.129-01"/>
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            di A B, qua converſione deformatur corpus
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            A G H B a duabus infinitorum planorũ par-
              <lb/>
            tibus A B, G H & </s>
            <s xml:id="echoid-s3806" xml:space="preserve">ſuperficiemotu lineæ de-
              <lb/>
            ſcriptâ comprehenſum. </s>
            <s xml:id="echoid-s3807" xml:space="preserve">Iam ajo molem aquæ
              <lb/>
            corpori A G H Bæqualem, gravitate æquari
              <lb/>
            ponderi fundo dato inſidenti.</s>
            <s xml:id="echoid-s3808" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3809" xml:space="preserve">P*RAEPARATIO*. </s>
            <s xml:id="echoid-s3810" xml:space="preserve">Alteram figuram prio-
              <lb/>
            ri ſimilem, æqualem, & </s>
            <s xml:id="echoid-s3811" xml:space="preserve">iſtiaquæ æquipondiam
              <lb/>
            figurato, hac lege ut D E horizonti ad perpendiculum immineat.</s>
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          </p>
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        <div xml:id="echoid-div529" type="section" level="1" n="380">
          <head xml:id="echoid-head397" xml:space="preserve">DEMONSTRATIO.</head>
          <figure number="180">
            <image file="527.01.129-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.129-02"/>
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            <s xml:id="echoid-s3813" xml:space="preserve">Quale pondus incumbit ſecundo fundo A B tale inſi-
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            det primo fundo A B, ut ſupra demonſtratum fuit, ſed
              <lb/>
            ſecundo A B inſidet pondus corporis A G H B: </s>
            <s xml:id="echoid-s3814" xml:space="preserve">itaque
              <lb/>
            etiam primo A B incumbit pondus æquale aqueæ moli
              <lb/>
            A G H B. </s>
            <s xml:id="echoid-s3815" xml:space="preserve">Quod inveniſſe & </s>
            <s xml:id="echoid-s3816" xml:space="preserve">demonſtraſſe fuit propoſi-
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            tum. </s>
            <s xml:id="echoid-s3817" xml:space="preserve">C*ONCLVSIO*. </s>
            <s xml:id="echoid-s3818" xml:space="preserve">Quamobrem aqueam molem,
              <lb/>
            ponderi fundo plano, formæ contingentis inſidenti,
              <lb/>
            æqualem invenimus. </s>
            <s xml:id="echoid-s3819" xml:space="preserve">Quod poſtulabatur.</s>
            <s xml:id="echoid-s3820" xml:space="preserve"/>
          </p>
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          <head xml:id="echoid-head398" xml:space="preserve">11 THEOREMA. 14 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s3821" xml:space="preserve">Si duo parallelogramma æqualis latitudinis ab aquæ
              <lb/>
            ſumma ſuperficie deorſum æquali altitudine abdantur,
              <lb/>
            ipſorum longitudines preſsibus proportionales erunt.</s>
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          </p>
          <p>
            <s xml:id="echoid-s3823" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s3824" xml:space="preserve">In aqua A B C D duo parallelogramma E F, G H, æquali la-
              <lb/>
            titudine, & </s>
            <s xml:id="echoid-s3825" xml:space="preserve">infra aquam altitudine, hoc eſt ut perpendiculares FI, H K </s>
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