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

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        <div xml:id="echoid-div108" type="section" level="1" n="87">
          <p>
            <s xml:id="echoid-s576" xml:space="preserve">
              <pb o="21" file="527.01.021" n="21" rhead="*DE* S*TATICÆ ELEMENTIS*."/>
            bafin parallelo, fueritq́ue firmitudinis punctum in ſecan-
              <lb/>
            te plano, infra gravitatis centrum: </s>
            <s xml:id="echoid-s577" xml:space="preserve">Columna (naturæ du-
              <lb/>
            ctu) ſeſe invertit donec gravitatis centrum in pendulâ gra-
              <lb/>
            vitatis diametro ſit.</s>
            <s xml:id="echoid-s578" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s579" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s580" xml:space="preserve">A B C D columna eſto, per gravitatis centrum E ſecta, plano
              <lb/>
            FG ad baſin A D parallelo, G autem fir-
              <lb/>
            mitudinis punctum infra gravitatis cen-
              <lb/>
              <figure xlink:label="fig-527.01.021-01" xlink:href="fig-527.01.021-01a" number="31">
                <image file="527.01.021-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.021-01"/>
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            trum E, quo faſtigio H incumbit, & </s>
            <s xml:id="echoid-s581" xml:space="preserve">
              <lb/>
            quieſcit, I K porro axis horizonti L M pa-
              <lb/>
            rallelus. </s>
            <s xml:id="echoid-s582" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s583" xml:space="preserve">Columnam in-
              <lb/>
            vertere ſe probandum eſt, uſque dum gra-
              <lb/>
            vitatis centrum in pendulâ gravitatis dia-
              <lb/>
            metro fuerit. </s>
            <s xml:id="echoid-s584" xml:space="preserve">Sed naturæ, ut dixi, ductu
              <lb/>
            nutuq́;</s>
            <s xml:id="echoid-s585" xml:space="preserve">, Mathematicè enim in eo quieſce-
              <lb/>
            repoteſt.</s>
            <s xml:id="echoid-s586" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div110" type="section" level="1" n="88">
          <head xml:id="echoid-head97" xml:space="preserve">DEMONSTRATIO.</head>
          <p style="it">
            <s xml:id="echoid-s587" xml:space="preserve">A. </s>
            <s xml:id="echoid-s588" xml:space="preserve">Luicquid jacet ſolum aliquod neceſſe eſt habeat ubi quieſcat.</s>
            <s xml:id="echoid-s589" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s590" xml:space="preserve">E. </s>
            <s xml:id="echoid-s591" xml:space="preserve">Atqui columnæ nihil eſt ubi quieſcat.</s>
            <s xml:id="echoid-s592" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s593" xml:space="preserve">F. </s>
            <s xml:id="echoid-s594" xml:space="preserve">Columnia igitur jacere nequit.</s>
            <s xml:id="echoid-s595" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s596" xml:space="preserve">Syllogiſmi hujus aſſumptio inde manifeſta eſt, quòd punctum non ſit ma-
              <lb/>
            gnitudo, ideo neque ſolum. </s>
            <s xml:id="echoid-s597" xml:space="preserve">Verum quidem eſt, fingere nos ali quando corpus
              <lb/>
            ex hypotheſi ita quieſcere, ſed re verâ effectum illud reddere hominum nemo
              <lb/>
            poteſt. </s>
            <s xml:id="echoid-s598" xml:space="preserve">Adeo ut quantumvis axis I K horizonti L M parallelus ſtatuatur;
              <lb/>
            </s>
            <s xml:id="echoid-s599" xml:space="preserve">columnatamen ( puncto G immoto) in illud latus ſeſe invertet à quo motus
              <lb/>
            principium exſtiterit. </s>
            <s xml:id="echoid-s600" xml:space="preserve">Quod autem eo uſque ſeſe motabit atq; </s>
            <s xml:id="echoid-s601" xml:space="preserve">invertet, donec
              <lb/>
            gravitatis centrum in pendulam gravitatis diametrum incidat, è 6 propoſitio-
              <lb/>
            ne manifeſtum eſt. </s>
            <s xml:id="echoid-s602" xml:space="preserve">C*ONCLVSIO.</s>
            <s xml:id="echoid-s603" xml:space="preserve">* Sectâ igitur columnâ, & </s>
            <s xml:id="echoid-s604" xml:space="preserve">c.</s>
            <s xml:id="echoid-s605" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div111" type="section" level="1" n="89">
          <head xml:id="echoid-head98" xml:space="preserve">1 NOTA.</head>
          <p style="it">
            <s xml:id="echoid-s606" xml:space="preserve">Hic ſi aliquis diſcriminationem inter jacere, & </s>
            <s xml:id="echoid-s607" xml:space="preserve">pendère declar ari ſibi postulaverit,
              <lb/>
            hoc reſponſum à nobis ferat. </s>
            <s xml:id="echoid-s608" xml:space="preserve">Pendere corpus, quando gravitatis centrum deorſum eſt,
              <lb/>
            vel in propinquo puncti in quo quieſcit; </s>
            <s xml:id="echoid-s609" xml:space="preserve">ſin gravitatis centrum ſurſum eſt jacere, ſtare,
              <lb/>
            ſedere existimamus. </s>
            <s xml:id="echoid-s610" xml:space="preserve">Iacere quidem quando longius latus ſecundum horizontem ſeſe
              <lb/>
            exporrigit, ſtare quando horizonti perpendiculare eſt, hinc illud eſt quod cubum (quia
              <lb/>
            latera habet æqualia) tam ſtare quam jacere, tam{q́ue} jacere quam ſtare propriè dici-
              <lb/>
            mus. </s>
            <s xml:id="echoid-s611" xml:space="preserve">Sedere inter utrumque medium eſſe.</s>
            <s xml:id="echoid-s612" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div112" type="section" level="1" n="90">
          <head xml:id="echoid-head99" xml:space="preserve">2 NOTA.</head>
          <p style="it">
            <s xml:id="echoid-s613" xml:space="preserve">Si quis argumentum trium propoſitionum experientiâ edoceri cupidus eſt, regulam
              <lb/>
            e
              <unsure/>
            x ligno, aliáve quâlibet materiâ æquabiliter & </s>
            <s xml:id="echoid-s614" xml:space="preserve">craßâ & </s>
            <s xml:id="echoid-s615" xml:space="preserve">põderosâ ſumat, ut A B C D.
              <lb/>
            </s>
            <s xml:id="echoid-s616" xml:space="preserve">in ea{q́ue} punctis E, F, G, H in mediis lineis A B, B C, C D, D A ſignatis, rectas E G,
              <lb/>
            & </s>
            <s xml:id="echoid-s617" xml:space="preserve">H F ſeſe in I ſecantes ducat. </s>
            <s xml:id="echoid-s618" xml:space="preserve">Deinde exiguum
              <lb/>
            foramen, & </s>
            <s xml:id="echoid-s619" xml:space="preserve">tanquam acu punctum, terebretur in
              <lb/>
            I, item ſupra I in K, denique infra in L. </s>
            <s xml:id="echoid-s620" xml:space="preserve">Tum
              <lb/>
              <figure xlink:label="fig-527.01.021-02" xlink:href="fig-527.01.021-02a" number="32">
                <image file="527.01.021-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.021-02"/>
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            acu in K inſertâ, ut liberè moveri poßit, diame-
              <lb/>
            trum H F, nunquã non horizonti parallelam mu-
              <lb/>
            nere; </s>
            <s xml:id="echoid-s621" xml:space="preserve">in I verò tranſlatâ, regulam quemcunque
              <lb/>
            ſitum dederis ſervare, denique in L inditâ, omnia
              <lb/>
            @@ illud latus inverti, unde primum motus incipit, donec I in gravitatis ſuæ </s>
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