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

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          <pb o="116" file="527.01.116" n="116" rhead="4 L*IBER* S*TATICÆ*"/>
        </div>
        <div xml:id="echoid-div474" type="section" level="1" n="340">
          <head xml:id="echoid-head357" xml:space="preserve">5 THE OREMA. 5 PROPOSITIO.</head>
          <p type="title">
            <s xml:id="echoid-s3344" xml:space="preserve">Corpus ſolidum materiæ levioris quamaqua cuiinnatat,
              <lb/>
            ponderitate æquale eſt tantæ aqueæ moli, quantâ ſui
              <lb/>
            parte demergitur.</s>
            <s xml:id="echoid-s3345" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3346" xml:space="preserve">D*ATVM.</s>
            <s xml:id="echoid-s3347" xml:space="preserve">* AB corpus ſolidum materiam habeat leviorem aqua BC in
              <lb/>
            quam immittiur, ſolidi autem ſuperficies AB, pars in aquam immerſa EB.</s>
            <s xml:id="echoid-s3348" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3349" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s3350" xml:space="preserve">Demonſtrato ſolidum AB pondere æquari aquæ EB
              <lb/>
            quæ æqualis eſt parti in aquam CD immerſæ.</s>
            <s xml:id="echoid-s3351" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div475" type="section" level="1" n="341">
          <head xml:id="echoid-head358" xml:space="preserve">DEMONSTRATIO.</head>
          <p>
            <s xml:id="echoid-s3352" xml:space="preserve">In vaſe ſuperficiario AB loco ſolidi corporis AB ſubſtituitor aquæ copia
              <lb/>
            tanta, quę ipſum eadem altitudine qua priùs in aquam immer-
              <lb/>
            gat. </s>
            <s xml:id="echoid-s3353" xml:space="preserve">quibus poſitis, aqua EB (cujus ſuperſicies eſt in ſuperfi-
              <lb/>
              <figure xlink:label="fig-527.01.116-01" xlink:href="fig-527.01.116-01a" number="158">
                <image file="527.01.116-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.116-01"/>
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            cie reliquæ aquæ cum vas ſuperficiarium nullius ſit ponderita-
              <lb/>
            tis) contenta vaſe ſuperficiario EB per 3 poſtul. </s>
            <s xml:id="echoid-s3354" xml:space="preserve">æquiponde-
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            rabit ſolido corpori AB quia vas idem eadem altitudine im-
              <lb/>
            mergunt. </s>
            <s xml:id="echoid-s3355" xml:space="preserve">C*ONCLVSIO.</s>
            <s xml:id="echoid-s3356" xml:space="preserve">* Itaque ſolidum corpus materia
              <lb/>
            leviore quam aqua in quam immittitur æquiponderat tantæ
              <lb/>
            aqueæ moli, quantâ ſui parteaquæ immergitur.</s>
            <s xml:id="echoid-s3357" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div477" type="section" level="1" n="342">
          <head xml:id="echoid-head359" xml:space="preserve">1 PROBLEMA. 6 PROPOSITIO.</head>
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            <s xml:id="echoid-s3358" xml:space="preserve">*Corpore ſolido ſui partenotæ magnitudinis in aquam*
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            *cognitæ ponderitatis immerſo, totius ſolidi pondus in-*
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            *venire.</s>
            <s xml:id="echoid-s3359" xml:space="preserve">*</s>
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          <p>
            <s xml:id="echoid-s3360" xml:space="preserve">D*ATVM.</s>
            <s xml:id="echoid-s3361" xml:space="preserve">* ABCD ſolidum corpus formæ contingentis, EF aqua cujus
              <lb/>
            pes cubicus ponderet 65 ℔, nam experientia edoctus Delfenſem pedem Del-
              <lb/>
            fenſis aquæ tanti ponderis eſſe cognovi, ſicq́ue deinceps in ſequentibus exem-
              <lb/>
            plis uſurpabimus; </s>
            <s xml:id="echoid-s3362" xml:space="preserve">ſolidi corporis pars aquæ immerſa ACD, cujus magni-
              <lb/>
            tudo ſit 10000 pedum cubicorum. </s>
            <s xml:id="echoid-s3363" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s3364" xml:space="preserve">Quantum pondus ſit
              <lb/>
            univerſi corporis ABCD quæq́; </s>
            <s xml:id="echoid-s3365" xml:space="preserve">illo vel continentur velinnituntur invenien-
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            dum eſto.</s>
            <s xml:id="echoid-s3366" xml:space="preserve"/>
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        <div xml:id="echoid-div478" type="section" level="1" n="343">
          <head xml:id="echoid-head360" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s3367" xml:space="preserve">Multiplicatis 10000 cum 65 ℔ efficiuntur pro quęſito 650000 ℔.</s>
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        <div xml:id="echoid-div479" type="section" level="1" n="344">
          <head xml:id="echoid-head361" xml:space="preserve">DEMONSTRATIO.</head>
          <figure number="159">
            <image file="527.01.116-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.116-02"/>
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          <p>
            <s xml:id="echoid-s3369" xml:space="preserve">Vniverſum ſolidum ABCD æquiponderat per
              <lb/>
            5 propoſ. </s>
            <s xml:id="echoid-s3370" xml:space="preserve">aquæ æquali corpori ACD, ſed tanta
              <lb/>
            aquæ moles pendet 650000 ℔, itaque etiam corpus
              <lb/>
            ABCD erit librarum totidem.</s>
            <s xml:id="echoid-s3371" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3372" xml:space="preserve">C*ONCLVSIO.</s>
            <s xml:id="echoid-s3373" xml:space="preserve">* Quamobrem corpore ſolido
              <lb/>
            ſui parte notæ magnitudinis in aquam cognitæ pon-
              <lb/>
            deritatis immerſo, etiam totius ponderitatem inveni-
              <lb/>
            mus. </s>
            <s xml:id="echoid-s3374" xml:space="preserve">Quod oportuit.</s>
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