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

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          <pb o="146" file="527.01.146" n="146" rhead="5 L*IBER* S*TATICÆ*"/>
          <p>
            <s xml:id="echoid-s4330" xml:space="preserve">M N O libra eſto, cujus lances M, O;
              <lb/>
            </s>
            <s xml:id="echoid-s4331" xml:space="preserve">
              <figure xlink:label="fig-527.01.146-01" xlink:href="fig-527.01.146-01a" number="205">
                <image file="527.01.146-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.146-01"/>
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            atque M quidem figuræ cylindraceæ æ-
              <lb/>
            qualis expoſito G C D ideoq́ue 10 li-
              <lb/>
            brarum aquæ capax; </s>
            <s xml:id="echoid-s4332" xml:space="preserve">tum Pſolidum ſimi-
              <lb/>
            le lanci M & </s>
            <s xml:id="echoid-s4333" xml:space="preserve">minus, ſcapo affigatur uthic
              <lb/>
            vides.</s>
            <s xml:id="echoid-s4334" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4335" xml:space="preserve">Inſeratur igitur ſolidum P in lancem
              <lb/>
            M, ut in ſecunda figura, lanciq́ue O im-
              <lb/>
            ponatur pondus Q 10 ℔; </s>
            <s xml:id="echoid-s4336" xml:space="preserve">jam fundum
              <lb/>
            M tam validè impingetin corpus P quàm
              <lb/>
            à 10 ℔ impelletur. </s>
            <s xml:id="echoid-s4337" xml:space="preserve">ſit autĕ corpus P deci-
              <lb/>
            ma parte minus quam M, ut vacuus inter
              <lb/>
            utrumque locus 1 ℔ aquæ expleatur, hoc
              <lb/>
            eſtaquea mole æquante corpus E A B. </s>
            <s xml:id="echoid-s4338" xml:space="preserve">Itaque 1 ℔ aquæ in lancem infuſa hanc
              <lb/>
            deprimet, reliquamq́ue attollet, id ipſum teſtante experientia, & </s>
            <s xml:id="echoid-s4339" xml:space="preserve">10 propoſi-
              <lb/>
            tionis demonſtratione approbante. </s>
            <s xml:id="echoid-s4340" xml:space="preserve">Quare 1 ℔ aquæ in lance M iſtic tantæ erit
              <lb/>
            potentiæ, quàm 10 ℔ plumbiferrivé aut alterius materiæ ſolidæ eidem lanci M
              <lb/>
            affixæ. </s>
            <s xml:id="echoid-s4341" xml:space="preserve">Atque eadem ratione 1 ℔ aquæ, hujuſmodi partium diſpoſitione ma-
              <lb/>
            joris erit efficaciæ, quam millæ libræ materiæ alterius. </s>
            <s xml:id="echoid-s4342" xml:space="preserve">Quæ cum ita ſint, aqua
              <lb/>
            quæ inter utriuſque fundum, corporis P lancisq́ue M interceſſit, fundum M
              <lb/>
            nunc tam validè preſſat ac prius fun dum corporis P, hoc eſt, ac 10 ℔; </s>
            <s xml:id="echoid-s4343" xml:space="preserve">cùm pon-
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              <figure xlink:label="fig-527.01.146-02" xlink:href="fig-527.01.146-02a" number="206">
                <image file="527.01.146-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.146-02"/>
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            dus Q 10 ℔ in reliqua lance O immiſſum ſit.
              <lb/>
            </s>
            <s xml:id="echoid-s4344" xml:space="preserve">Itemq́ue contra aqua tanta vehementia premit
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            fundum lancis M, quanta eſt efficientia 10 ℔
              <lb/>
            Q. </s>
            <s xml:id="echoid-s4345" xml:space="preserve">ponamus autem aquam in fundo M æqua-
              <lb/>
            riipſi K L B A, reliquam autem ipſi P circum-
              <lb/>
            fuſam, reliquæ I E. </s>
            <s xml:id="echoid-s4346" xml:space="preserve">Quare aqua E A B tam
              <lb/>
            potenter preſiat fundum A B, quàm hæc aqua
              <lb/>
            fundum M, ideoq́ue E A B premit ſuum fun-
              <lb/>
            dum A B æquivalenter 10 ℔, ſed tantus eſt
              <lb/>
            item preſius aquæ G C D contra fundum
              <lb/>
            C D. </s>
            <s xml:id="echoid-s4347" xml:space="preserve">Quamobrem, quod pragmaticè con-
              <lb/>
            firmare ſtatueramus, aqua E A B pondere 1 ℔
              <lb/>
            ſuum fundum A B æquè validè premit, atque
              <lb/>
            G C D 10 ℔ fundum C D. </s>
            <s xml:id="echoid-s4348" xml:space="preserve">Pari ratione evin-
              <lb/>
            ces, vel 1 ℔ preſſare potentiùs mille libris.</s>
            <s xml:id="echoid-s4349" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div616" type="section" level="1" n="443">
          <head xml:id="echoid-head461" xml:space="preserve">2 Exemplum.</head>
          <p>
            <s xml:id="echoid-s4350" xml:space="preserve">Tubulus eſto A B C D, & </s>
            <s xml:id="echoid-s4351" xml:space="preserve">C D E F vas amplum ac ſpiſſum, utraque aquæ
              <lb/>
            plena, ſuperficiebus in eadem mundana ſuperficie conſi-
              <lb/>
              <figure xlink:label="fig-527.01.146-03" xlink:href="fig-527.01.146-03a" number="207">
                <image file="527.01.146-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.146-03"/>
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            ſtentibus, inſidentia communi fundo C D. </s>
            <s xml:id="echoid-s4352" xml:space="preserve">hîc fundum
              <lb/>
            C D ab amplo vaſe C D E F non validius premi quam à
              <lb/>
            tubulo A B C D, patebit ipſo ablato, ut aqua aquam
              <lb/>
            tangat; </s>
            <s xml:id="echoid-s4353" xml:space="preserve">nam ſi ante aqua C D E F fundum D C preſſit va-
              <lb/>
            lidiùs quàm A B C D, idem quoque nunc fiet, & </s>
            <s xml:id="echoid-s4354" xml:space="preserve">poten-
              <lb/>
            tior debiliorem loco pellet, quare aquam A B C D aſcen-
              <lb/>
            dere, & </s>
            <s xml:id="echoid-s4355" xml:space="preserve">C D E F deſcendere neceſſe fuerit: </s>
            <s xml:id="echoid-s4356" xml:space="preserve">atque ita ipſa-
              <lb/>
            rum ſupernæ ſuperficies inæquali altitudine ſupra horizontem extarent, </s>
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