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

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          <p>
            <s xml:id="echoid-s3496" xml:space="preserve">
              <pb o="121" file="527.01.121" n="121" rhead="*DE* H*YDROSTATICES ELEMENTIS*."/>
            pondus, æquale ponderi aqueæ columnæ cujus baſis E F, altitudo perpendicu-
              <lb/>
            laris ab M I aquæ ſummo in fundum E F demiſſa. </s>
            <s xml:id="echoid-s3497" xml:space="preserve">Atque ita in cæteris omni-
              <lb/>
            bus figuris quarum fundum fit in plano horizonti parallelo.</s>
            <s xml:id="echoid-s3498" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3499" xml:space="preserve">C*ONCLVSIO*. </s>
            <s xml:id="echoid-s3500" xml:space="preserve">Itaque in fundo hofizonti parallelo, &</s>
            <s xml:id="echoid-s3501" xml:space="preserve">c.</s>
            <s xml:id="echoid-s3502" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3503" xml:space="preserve">Inſpice exorſum
              <unsure/>
            Praxis Hydroſtatices ubi experientia hæc clarius compro-
              <lb/>
            bantur.</s>
            <s xml:id="echoid-s3504" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div502" type="section" level="1" n="361">
          <head xml:id="echoid-head378" xml:space="preserve">NOTATO</head>
          <p>
            <s xml:id="echoid-s3505" xml:space="preserve">Propoſitionem 10 magis propriè efferri hoc modo:</s>
            <s xml:id="echoid-s3506" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3507" xml:space="preserve">Aquæfundo in ſuperficie mundana cõſtitu to inſidet pon-
              <lb/>
            dus æquipondiũ aquæ cujus magnitudo ſit ęqualis ſegmĕ-
              <lb/>
            to ſphærę comprehenſæ à fundo & </s>
            <s xml:id="echoid-s3508" xml:space="preserve">mundana ſuperficie per
              <lb/>
            ſummitatem aquæ eductę, quæ cõjungat ſuperficies inter
              <lb/>
            ipſa interjecta, deſcripta à linea infinita in mundi centro
              <lb/>
            fixa & </s>
            <s xml:id="echoid-s3509" xml:space="preserve">circa fundi ambitum obvoluta.</s>
            <s xml:id="echoid-s3510" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3511" xml:space="preserve">Cujus demonſtratio eadem cum antecedente; </s>
            <s xml:id="echoid-s3512" xml:space="preserve">ſed propter cauſas 7 poſtulato
              <lb/>
            expoſitas, iſto modo proponere non placuit.</s>
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        <div xml:id="echoid-div503" type="section" level="1" n="362">
          <head xml:id="echoid-head379" xml:space="preserve">9 THEOREMA. 11 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s3514" xml:space="preserve">Si fundi regularis punctum altiſsimum in aquę ſuperfi-
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            cie ſumma conſiſtat, inſidens ipſi pondus æquatur ſemiſsi
              <lb/>
            aqueæ columnæ cujus baſis fundo, altitudo autem per-
              <lb/>
            pendicularì, à ſummo fundi puncto in planum per ejuſ-
              <lb/>
            dem imum punctum horizonti æquidiſtanter eductum,
              <lb/>
            demiſſæ æqualis ſit.</s>
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          </p>
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          <head xml:id="echoid-head380" xml:space="preserve">1 Exemplum.</head>
          <p>
            <s xml:id="echoid-s3516" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s3517" xml:space="preserve">A B vasaqua plenum, A C D E fundum inclinatum ad hori-
              <lb/>
            zontem & </s>
            <s xml:id="echoid-s3518" xml:space="preserve">primò quidem in angulo recto, cujus ſupremum latus A C ſit in ſu-
              <lb/>
            perficie ſumma aquæ A C F G; </s>
            <s xml:id="echoid-s3519" xml:space="preserve">unde perpendicularis A E demiſſa in planum
              <lb/>
            per fundi imum punctum, ut E D, horizonti æquidiſtanter eductum. </s>
            <s xml:id="echoid-s3520" xml:space="preserve">Sitq́ue
              <lb/>
            recta D B horizonti parallela, à qua abſumatur D H ipſi D C æqualis, & </s>
            <s xml:id="echoid-s3521" xml:space="preserve">con-
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            nectatur C H; </s>
            <s xml:id="echoid-s3522" xml:space="preserve">atq; </s>
            <s xml:id="echoid-s3523" xml:space="preserve">A C H D E fit dimidia illa columna, cujus fundũ A C D E,
              <lb/>
            altitudo D H æqualis ipſi A E.</s>
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          <figure number="169">
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            <s xml:id="echoid-s3525" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s3526" xml:space="preserve">Demonſtrato
              <lb/>
            impreſſionem gravitatis aquę cõ-
              <lb/>
            tra fundũ A C D E æquari expoſi-
              <lb/>
            tæ dimidiæ columnæ A C H D E.
              <lb/>
            </s>
            <s xml:id="echoid-s3527" xml:space="preserve">Vel ut clariùs dicam: </s>
            <s xml:id="echoid-s3528" xml:space="preserve">ſi I ſit pon-
              <lb/>
            dus obliquè ducens gravitate ipſi
              <lb/>
            A C H D E æquale, funisq́; </s>
            <s xml:id="echoid-s3529" xml:space="preserve">du-
              <lb/>
            ctorius K L parallelus cõtra D H,
              <lb/>
            K autem preſſionis potentiæ cen-
              <lb/>
            trum in fundo collectæ (cujus </s>
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