Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605
page |< < (94) of 197 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div403" type="section" level="1" n="291">
          <p>
            <s xml:id="echoid-s2850" xml:space="preserve">
              <pb o="94" file="527.01.094" n="94" rhead="3 L*IBER* S*TATICÆ*"/>
            ipſi M æquipondium hinc ſuſpendi opus ſit per 3 propoſ. </s>
            <s xml:id="echoid-s2851" xml:space="preserve">I lib. </s>
            <s xml:id="echoid-s2852" xml:space="preserve">inquirito, hoc
              <lb/>
            modo, cum I L ſubquintupla ſit rectæ IN,
              <lb/>
              <figure xlink:label="fig-527.01.094-01" xlink:href="fig-527.01.094-01a" number="136">
                <image file="527.01.094-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.094-01"/>
              </figure>
            quinta pars ponderis M 1400 ℔ ex N pun-
              <lb/>
            cto, ſcilicet O 280 ℔, priori æquipondia
              <lb/>
            concludetur, ſed ponderis O ab N deſcen-
              <lb/>
            dentis per 13 propoſ. </s>
            <s xml:id="echoid-s2853" xml:space="preserve">I lib. </s>
            <s xml:id="echoid-s2854" xml:space="preserve">Statices tanta po-
              <lb/>
            tentia eſt, quanta ejuſdem ad K attollentis,
              <lb/>
            I K enim & </s>
            <s xml:id="echoid-s2855" xml:space="preserve">I N ex hypotheſi æquantur.
              <lb/>
            </s>
            <s xml:id="echoid-s2856" xml:space="preserve">Quamobrem vis qua K attollitur, tollet
              <lb/>
            pondus 280 ℔ in vecte ad punctum B. </s>
            <s xml:id="echoid-s2857" xml:space="preserve">Si-
              <lb/>
            milibus diagrammatis Staticus mechanicorum paradigmatum, quæ brevitatis
              <lb/>
            ſtudio in hæc paucula contraximus, cauſas inquiret.</s>
            <s xml:id="echoid-s2858" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div405" type="section" level="1" n="292">
          <head xml:id="echoid-head307" xml:space="preserve">8 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s2859" xml:space="preserve">Ponderum geſtatorum formas & </s>
            <s xml:id="echoid-s2860" xml:space="preserve">rationes inquirere.</s>
            <s xml:id="echoid-s2861" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2862" xml:space="preserve">D*ATVM.</s>
            <s xml:id="echoid-s2863" xml:space="preserve">* Exponantur ſcalæ A B quarum extrema, ut ferè ſolent, diſpari
              <lb/>
            ſintgravitate, cujus onus duobus palangariis æquali pondere partiendum, ut
              <lb/>
            axis C D horizonti parallelus perpetuò maneat.</s>
            <s xml:id="echoid-s2864" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div406" type="section" level="1" n="293">
          <head xml:id="echoid-head308" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s2865" xml:space="preserve">Scalas in acie aliqua huc illuc verſato donec partium æquamentum invene-
              <lb/>
            ris in E, & </s>
            <s xml:id="echoid-s2866" xml:space="preserve">ſi crebrò alio transferendę ſint notam iſtic incidito, deinde perpen-
              <lb/>
            dicularis ab E ducta occurrat axi C D in F, denique ſignato duo puncta G, H,
              <lb/>
            æquidiſtanter ab E F, ajo hic in G iſtic in Hæquale pondus à palangariis ſu-
              <lb/>
            ſtineri.</s>
            <s xml:id="echoid-s2867" xml:space="preserve"/>
          </p>
          <figure number="137">
            <image file="527.01.094-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.094-02"/>
          </figure>
          <p>
            <s xml:id="echoid-s2868" xml:space="preserve">Sin autem alterum alterius duplum perferre opus ſit, unius ab E F diſtantia
              <lb/>
            reliqui fiat dupla ut A E ipſius E I; </s>
            <s xml:id="echoid-s2869" xml:space="preserve">atque is qui ad I duplo pondere premetur
              <lb/>
            reſpectu ejus qui ad H. </s>
            <s xml:id="echoid-s2870" xml:space="preserve">Simili via onera diſtribuentur palangariis pro ratio-
              <lb/>
            ne data.</s>
            <s xml:id="echoid-s2871" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2872" xml:space="preserve">QV *Æ* ſcalarum ſpeciali exemplo oſtendimus, de quolibet ſolido corpore
              <lb/>
            intelligas, ut in diagrammatis ſubjectis perſpicitur; </s>
            <s xml:id="echoid-s2873" xml:space="preserve">memineris autem li-
              <lb/>
            neas planorum quę per perinordinatorum corporum gravitatis centrum ducuntur
              <lb/>
            in ipſorum ſuperficie per I prop. </s>
            <s xml:id="echoid-s2874" xml:space="preserve">deſignari; </s>
            <s xml:id="echoid-s2875" xml:space="preserve">perpendiculares item per G, H actas
              <lb/>
            ipſi E F parallelas eſſe.</s>
            <s xml:id="echoid-s2876" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>