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

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          <pb o="134" file="527.01.134" n="134" rhead="4 L*IBER* S*TATIC Æ*"/>
        </div>
        <div xml:id="echoid-div563" type="section" level="1" n="406">
          <head xml:id="echoid-head423" xml:space="preserve">1 C*ONSECTARIUM*.</head>
          <p>
            <s xml:id="echoid-s3958" xml:space="preserve">Fx quo perſpicitur, quis modus inveniendi ſummilateris erit quando ipſum
              <lb/>
            infra aquam abſcondetur: </s>
            <s xml:id="echoid-s3959" xml:space="preserve">nam cum ſubduces à toto aqueæ molis pondere illi
              <lb/>
            inſidente columnam, cujus baſis ſit ipſum fundum, altitudo perpendicularis à
              <lb/>
            ſummo latere ad ſupernam aquæ ſuperficiem, reliquum hoc pondus tantum
              <lb/>
            erit quaſi ſummum iſtud latus in aquæ ſuperficie conſiſteret, unde anteceden-
              <lb/>
            tem factionem imitatus longitudinem ejus concludes.</s>
            <s xml:id="echoid-s3960" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s3961" xml:space="preserve">Ad inventionem autem iſtius columnæ quam diximus ſubducendam, hac
              <lb/>
            via inſiſtes. </s>
            <s xml:id="echoid-s3962" xml:space="preserve">Secato integrum illud datum pondus, integramvé columnam ra-
              <lb/>
            tione ea, quam habet perpendicularis ab aquæ ſuperficre ſumma in ſupremum
              <lb/>
            fundi latus demiſſa, ad perpendicularem candem auctam ſemiſſe perpendicu-
              <lb/>
            laris indidem continuatæ uſque in planum per imum latus horiz onti paralle-
              <lb/>
            lum. </s>
            <s xml:id="echoid-s3963" xml:space="preserve">Quod lucem accipiet à 12 propoſ. </s>
            <s xml:id="echoid-s3964" xml:space="preserve">1 exemplo. </s>
            <s xml:id="echoid-s3965" xml:space="preserve">nam ſi pars hæc ſubducen-
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            da iſtic quæreretur, ſic concluderes. </s>
            <s xml:id="echoid-s3966" xml:space="preserve">ut EG ad EA, ſic datum pondus ad ſui
              <lb/>
            partem ſubducendam.</s>
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        <div xml:id="echoid-div564" type="section" level="1" n="407">
          <head xml:id="echoid-head424" xml:space="preserve">2 C*ONSECTARIUM*.</head>
          <p>
            <s xml:id="echoid-s3968" xml:space="preserve">Et licet hinc invenire longitudinem ſupremi lateris, quando fundum linea
              <lb/>
            alteri laterum ad horizontem annuentium parallela interſecabitur. </s>
            <s xml:id="echoid-s3969" xml:space="preserve">Sit, dicis
              <lb/>
            gratia, in diagrammate 4 exempli agenda G H parallela contra A D, ut in
              <lb/>
            A G H D inſideat pondus aqueum 12 pedum, jam quę ratio eſt ponderis 12 ad
              <lb/>
            36 ea eſt ſegmenti A G ad totum latus A B. </s>
            <s xml:id="echoid-s3970" xml:space="preserve">quare A G erit 2 pedum.</s>
            <s xml:id="echoid-s3971" xml:space="preserve"/>
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        <div xml:id="echoid-div565" type="section" level="1" n="408">
          <head xml:id="echoid-head425" xml:space="preserve">6 PROBLEMA. 17 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s3972" xml:space="preserve">Si parallelogrammi ad horizontem inclinati, cujus ſu-
              <lb/>
            premum latus notum in ſupera aquæ ſuperficie conſiſtat,
              <lb/>
            perpendicularis à ſummo in planum per latus imum hori-
              <lb/>
            zonti parallelum, cum pondere ipſi inſidente nota ſint; </s>
            <s xml:id="echoid-s3973" xml:space="preserve">re.
              <lb/>
            </s>
            <s xml:id="echoid-s3974" xml:space="preserve">liquam perpendicularem à latere ſummo in imum demiſ-
              <lb/>
            ſam invenire.</s>
            <s xml:id="echoid-s3975" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div566" type="section" level="1" n="409">
          <head xml:id="echoid-head426" xml:space="preserve">1 Exemplum.</head>
          <p>
            <s xml:id="echoid-s3976" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s3977" xml:space="preserve">A B C D rectangulum ad horizontem perpendiculare, cui pon-
              <lb/>
            dus aqueum 18 pedum inſideat, latusq́ue A B in ſuprema
              <lb/>
              <figure xlink:label="fig-527.01.134-01" xlink:href="fig-527.01.134-01a" number="191">
                <image file="527.01.134-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.134-01"/>
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            aquæ ſuperficie pedum 4.</s>
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          <p>
            <s xml:id="echoid-s3979" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s3980" xml:space="preserve">Invenire A D.</s>
            <s xml:id="echoid-s3981" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div568" type="section" level="1" n="410">
          <head xml:id="echoid-head427" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s3982" xml:space="preserve">Diviſis 18 per 2 ſemiſſem lateris A B quotus erit 9, cujus
              <lb/>
            quadrati latus 3 pro A D.</s>
            <s xml:id="echoid-s3983" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div569" type="section" level="1" n="411">
          <head xml:id="echoid-head428" xml:space="preserve">2 Exemplum.</head>
          <p>
            <s xml:id="echoid-s3984" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s3985" xml:space="preserve">A B C D parallelogrammum obliquãgu-
              <lb/>
              <figure xlink:label="fig-527.01.134-02" xlink:href="fig-527.01.134-02a" number="192">
                <image file="527.01.134-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.134-02"/>
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            lum horizonti perpendiculare, cui inſiſtit moles aquea
              <lb/>
            18 pedum ejusq́ue latus ſummum A B, quod in aquę
              <lb/>
            ſummitate conſiſtit, ſit pedum 4.</s>
            <s xml:id="echoid-s3986" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3987" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s3988" xml:space="preserve">Invenire rectam A E.</s>
            <s xml:id="echoid-s3989" xml:space="preserve"/>
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