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

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          <pb o="135" file="527.01.135" n="135" rhead="*DE* H*YDROSTATICES ELEMENTIS*."/>
        </div>
        <div xml:id="echoid-div571" type="section" level="1" n="412">
          <head xml:id="echoid-head429" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s3990" xml:space="preserve">Diviſis 18 per 2 ſemiſſem lateris A B, quotus erit 9 hujus quadrati latus 3
              <lb/>
            pro A E.</s>
            <s xml:id="echoid-s3991" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div572" type="section" level="1" n="413">
          <head xml:id="echoid-head430" xml:space="preserve">3 Exemplum.</head>
          <p>
            <s xml:id="echoid-s3992" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s3993" xml:space="preserve">A B C D rectangulum horizonti obliquum, cui pondusaquæ
              <lb/>
            36 pedum inſidet, ejusq́ue ſupremum latus A B
              <lb/>
              <figure xlink:label="fig-527.01.135-01" xlink:href="fig-527.01.135-01a" number="193">
                <image file="527.01.135-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.135-01"/>
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            6 pedum in aquæ ſummitate jaceat, unde per-
              <lb/>
            pendicularis A E in planum per imum latus ho-
              <lb/>
            rizonti parallelum ſit pedum 3.</s>
            <s xml:id="echoid-s3994" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3995" xml:space="preserve">Q*VÆSITVM*. </s>
            <s xml:id="echoid-s3996" xml:space="preserve">Invenire A D.</s>
            <s xml:id="echoid-s3997" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div574" type="section" level="1" n="414">
          <head xml:id="echoid-head431" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s3998" xml:space="preserve">Diviſis 36 per 3 ſemiſſem lateris A B, quotus
              <lb/>
            eſt 12, qui per A E 3 diviſus exhibet A D 4 pedum.</s>
            <s xml:id="echoid-s3999" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div575" type="section" level="1" n="415">
          <head xml:id="echoid-head432" xml:space="preserve">4 Exemplum.</head>
          <p>
            <s xml:id="echoid-s4000" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s4001" xml:space="preserve">A B C D parallelogrammum obliquangulum ad horizontem
              <lb/>
            obliquatum, ſuſtineat pondus molis aqueæ 36 pedum, latusq́ue ſummum A B
              <lb/>
            in aquæ ſummitate conſtitutum ſit pedum 6, unde A E perpendicularis in la-
              <lb/>
            tus imum, at A F perpendicularis in planum per
              <lb/>
              <figure xlink:label="fig-527.01.135-02" xlink:href="fig-527.01.135-02a" number="194">
                <image file="527.01.135-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.135-02"/>
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            imum latus horizonti parallelum ſit pedum 3.</s>
            <s xml:id="echoid-s4002" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4003" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s4004" xml:space="preserve">Invenire lineam A E.</s>
            <s xml:id="echoid-s4005" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div577" type="section" level="1" n="416">
          <head xml:id="echoid-head433" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s4006" xml:space="preserve">Diviſis 36 per 3 ſemiſſem ſenarii lateris A B,
              <lb/>
            quotoq́ue deinceps per A F 3, exibit tandem
              <lb/>
            A E 4 pedum.</s>
            <s xml:id="echoid-s4007" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div578" type="section" level="1" n="417">
          <head xml:id="echoid-head434" xml:space="preserve">DEMONSTRATIO.</head>
          <p>
            <s xml:id="echoid-s4008" xml:space="preserve">Si A D primi exempli 3 pedibus cederet excederetvé, pondus quoque fun-
              <lb/>
            do iſti innixum 18 pedibus aut cederet aut præſtaret, quod contra theſin dixiſſe
              <lb/>
            abſurdum fuerit. </s>
            <s xml:id="echoid-s4009" xml:space="preserve">quare A D erit pedum 3. </s>
            <s xml:id="echoid-s4010" xml:space="preserve">Ratio & </s>
            <s xml:id="echoid-s4011" xml:space="preserve">demonſtratio reliquorum
              <lb/>
            huic ſimillimè inſtituetur. </s>
            <s xml:id="echoid-s4012" xml:space="preserve">Itaque ſi parallelogrammi ad horizontem inclina-
              <lb/>
            ti, & </s>
            <s xml:id="echoid-s4013" xml:space="preserve">c.</s>
            <s xml:id="echoid-s4014" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div579" type="section" level="1" n="418">
          <head xml:id="echoid-head435" xml:space="preserve">1 C*ONSECTARIUM*.</head>
          <p>
            <s xml:id="echoid-s4015" xml:space="preserve">Ex quo perſpicitur, quæ ratio ſit factionis ubi ſummum latus ſub aqua deli-
              <lb/>
            teſcit. </s>
            <s xml:id="echoid-s4016" xml:space="preserve">etenim cum de toto aquæ pondere fundo inſidentis deducetur columna,
              <lb/>
            cujus baſis ſit ipſum fundum, altitudo autem perpĕdicularis à ſummitate aquæ
              <lb/>
            in fundi ſupremum latus. </s>
            <s xml:id="echoid-s4017" xml:space="preserve">relinquetur pondus illud quod inſideret ſi ſummum
              <lb/>
            latus in aquæ ſuperſicere conſiſteret. </s>
            <s xml:id="echoid-s4018" xml:space="preserve">unde ſecundum demonſtrata dicta per-
              <lb/>
            pendicularis concludetur.</s>
            <s xml:id="echoid-s4019" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div580" type="section" level="1" n="419">
          <head xml:id="echoid-head436" xml:space="preserve">2 C*ONSECTARIUM*.</head>
          <p>
            <s xml:id="echoid-s4020" xml:space="preserve">Et licet hinc, cùm recta ſupremo lateri parallela deſecabit fundi partem datus
              <lb/>
            ſuſtinens pondus, invenire longitudinem perpendicularis à ſummo latere in
              <lb/>
            parallelam dictam demiſſæ. </s>
            <s xml:id="echoid-s4021" xml:space="preserve">Vt ſi in 4 exempli paradigmate G H parallela </s>
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