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

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          <pb o="96" file="527.01.096" n="96" rhead="3 L*IBER* S*TATICÆ*"/>
          <p>
            <s xml:id="echoid-s2880" xml:space="preserve">Perpendiculares per G, H, eductæ ſecent axem C D in K, L, hîc pondus
              <lb/>
            non tribuitur, ut ante, æquis partibus, namque F K in duobus primis diagram-
              <lb/>
            matis major eſt quam F L, in reliquis verò minor, ſed ut F K ad F L ſic pon-
              <lb/>
            dus palangarii H, ad palangarium ſeu vectiarium G. </s>
            <s xml:id="echoid-s2881" xml:space="preserve">Vnde evidens eſt ſi firmi-
              <lb/>
            tudinis puncta G, H ſub axe C D conſtituantur antecedentem minus premi,
              <lb/>
            ſin verò ſupraſit, ſequentem leviore pondere urgeri. </s>
            <s xml:id="echoid-s2882" xml:space="preserve">Denique ſi firmitudinis
              <lb/>
            puncta in ipſo axe C D figantur ponde-
              <lb/>
            ris varietatem, neque in clivo neque in
              <lb/>
              <figure xlink:label="fig-527.01.096-01" xlink:href="fig-527.01.096-01a" number="140">
                <image file="527.01.096-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.096-01"/>
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            planitie ullam eſſe. </s>
            <s xml:id="echoid-s2883" xml:space="preserve">Quarum demonſtra-
              <lb/>
            tiones è 14, 15, 16, 17, 18, 27, 28 propoſ.
              <lb/>
            </s>
            <s xml:id="echoid-s2884" xml:space="preserve">1 lib. </s>
            <s xml:id="echoid-s2885" xml:space="preserve">repetantur.</s>
            <s xml:id="echoid-s2886" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2887" xml:space="preserve">Veruntamen cum multorum inſti-
              <lb/>
            tutum non patiatur iſtas cognoſcere,
              <lb/>
            qui nihilominus id optant mechani-
              <lb/>
            ca ratione edoceri, ii ſumant baculum
              <lb/>
            quomodocunque incurvum A B, quod
              <lb/>
            funiculo C D ſuſpendant ex C. </s>
            <s xml:id="echoid-s2888" xml:space="preserve">De-
              <lb/>
            miſſis deinde à C D æquali diſtantia
              <lb/>
            duobus perpendiculis G H, I K, ut H L,
              <lb/>
            LK ęquales ſint, baculum eandem ſerva-
              <lb/>
            bit theſin; </s>
            <s xml:id="echoid-s2889" xml:space="preserve">idem erit ſi ſpatium N L di-
              <lb/>
            midium quidem ſit ipſius L K, pondus
              <lb/>
            verò M ponderis F duplum, atque ita
              <lb/>
            deinceps in cæteris. </s>
            <s xml:id="echoid-s2890" xml:space="preserve">Qua via experientia
              <lb/>
            comprobante, quæ ſupta nobis expoſi-
              <lb/>
            ta ſunt facillimè intelligentur.</s>
            <s xml:id="echoid-s2891" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2892" xml:space="preserve">REctas quibus in ſuperioribus dia-
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            grammatis corpora geſtari finxi-
              <lb/>
              <figure xlink:label="fig-527.01.096-02" xlink:href="fig-527.01.096-02a" number="141">
                <image file="527.01.096-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.096-02"/>
              </figure>
            mus, horizonti perpendiculares collo-
              <lb/>
            cavimus; </s>
            <s xml:id="echoid-s2893" xml:space="preserve">ſi vero obliquę ſumantur plus
              <lb/>
            virium deſiderabitur quam ſit corporis
              <lb/>
            ipſius gravitas, quantum verò unuſ-
              <lb/>
            quiſq; </s>
            <s xml:id="echoid-s2894" xml:space="preserve">ferat ductis perpendicularibus
              <lb/>
            I M, N O, evidens erit, namque per
              <lb/>
            27 propoſ. </s>
            <s xml:id="echoid-s2895" xml:space="preserve">1 lib. </s>
            <s xml:id="echoid-s2896" xml:space="preserve">ut M I ad I G ſic pon-
              <lb/>
            dus rectà ſublatum ad idem ſublatum
              <lb/>
            obliquè hoc eſt potentiam hominis in
              <lb/>
            G; </s>
            <s xml:id="echoid-s2897" xml:space="preserve">conſimili modo ut O N ad N H,
              <lb/>
            ſic ejus pondus cum rectà attollitur ad
              <lb/>
            idem obliquatum quæ efficientia eſt palangarii ad H, unde ſingulorum effe-
              <lb/>
            ctus per 22 propoſ. </s>
            <s xml:id="echoid-s2898" xml:space="preserve">1 lib. </s>
            <s xml:id="echoid-s2899" xml:space="preserve">concludetur.</s>
            <s xml:id="echoid-s2900" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2901" xml:space="preserve">A pluribus & </s>
            <s xml:id="echoid-s2902" xml:space="preserve">magis variis geſtatorum ponderum paradigmatis cum brevi-
              <lb/>
            tatis ſtudio ſuperſedemus, tum quia ex antecedentibus lucem & </s>
            <s xml:id="echoid-s2903" xml:space="preserve">demonſtra-
              <lb/>
            tionem accipiunt compendi facimus.</s>
            <s xml:id="echoid-s2904" xml:space="preserve"/>
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