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

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          <pb o="89" file="527.01.089" n="89" rhead="DE S*TATICÆ PRAXI.*"/>
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        <div xml:id="echoid-div386" type="section" level="1" n="278">
          <head xml:id="echoid-head293" xml:space="preserve">5 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s2723" xml:space="preserve">Stateram perfectiſsimam fabricari.</s>
            <s xml:id="echoid-s2724" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div387" type="section" level="1" n="279">
          <head xml:id="echoid-head294" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s2725" xml:space="preserve">Scapi cujuſdam ſolidi ſummum latus A B continuetur in C, ſitq́ue acies
              <lb/>
            tranſverſorum axium D, E, in rectâ B C, & </s>
            <s xml:id="echoid-s2726" xml:space="preserve">quidem acies D deorſum E verò
              <lb/>
            ſurſum vergat; </s>
            <s xml:id="echoid-s2727" xml:space="preserve">deinde tantum materiæ præponderantis è ſcapo, B C verſum
              <lb/>
            auferto, donec ex agina F ſuſpenſus æquamentum nanciſcatur, ut tamen acies
              <lb/>
            tranſverſi axis D (dempta agina F) diameter ſit gravitatis ſcapi A C. </s>
            <s xml:id="echoid-s2728" xml:space="preserve">Quibus
              <lb/>
            conſtitutis, ſcapoq́ue ex agina F ſuſpenſo, quemcunque dederis ſitum (dum
              <lb/>
            tranſverſus axis D aciei ſuæ incumbet) perpetuò ſervabit. </s>
            <s xml:id="echoid-s2729" xml:space="preserve">Conſiderandum
              <lb/>
            deinde pondus unci H, & </s>
            <s xml:id="echoid-s2730" xml:space="preserve">G æquipondii per ſcapum mobilis, & </s>
            <s xml:id="echoid-s2731" xml:space="preserve">G quidem
              <lb/>
            libram, H unciam id eſt ipſius G ſextamdecimam partem valeat; </s>
            <s xml:id="echoid-s2732" xml:space="preserve">ſignato dein-
              <lb/>
            de I ut interſtitium inter ipſum & </s>
            <s xml:id="echoid-s2733" xml:space="preserve">aciem tranſverſi axis D interjectum {1/
              <unsure/>
            6} rectæ
              <lb/>
            D E obtineat, atque idem intervallum D E inter utroſque tranſverſos axes in-
              <lb/>
            termedium, initio ab I facto verſus A toties iterabis quoties commode de-
              <lb/>
              <figure xlink:label="fig-527.01.089-01" xlink:href="fig-527.01.089-01a" number="130">
                <image file="527.01.089-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.089-01"/>
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            ſcribi poſſe animadvertes, ut in punctis K, L, M, N, O, P, Q, R, quæ ſingula
              <lb/>
            rurſum in tot æquales particulas ſubdividantur, quot ipſorum longitudo per-
              <lb/>
            mittet, duas, quatuor, octo ſedecim, atque ſtateræ fabrica fuerit perfecta.</s>
            <s xml:id="echoid-s2734" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2735" xml:space="preserve">Attamen ſi tanta accuratio nimium afferat laboris, huc tamen (ut 2 propoſ.
              <lb/>
            </s>
            <s xml:id="echoid-s2736" xml:space="preserve">monuimus) quam poterit fieri accuratiſſime omnia referantur, atque aciem
              <lb/>
            axis tranſverſi D potius pauxillum ſupra rectam A C attollito quàm deprimas.</s>
            <s xml:id="echoid-s2737" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2738" xml:space="preserve">Vſus verò hujuſmodi eſt, ſi σφαίρωμαa G ex O & </s>
            <s xml:id="echoid-s2739" xml:space="preserve">pondus huic ſitu æquili-
              <lb/>
            bre ex unico H dependeat, iſtud ipſum fuerit 5 librarum, ſi præterea unaquæq;
              <lb/>
            </s>
            <s xml:id="echoid-s2740" xml:space="preserve">rectarum I K, K L, L M, in ſedecim particulas tributa eſſet quælibet particula
              <lb/>
            unciam adderet. </s>
            <s xml:id="echoid-s2741" xml:space="preserve">Exemplũ tale eſto, æquipondiũ G quintam partem PQ rectæ
              <lb/>
            obtineto, tum pondus H 6 ℔ & </s>
            <s xml:id="echoid-s2742" xml:space="preserve">5 unciarũ erit atq; </s>
            <s xml:id="echoid-s2743" xml:space="preserve">ita in cęteris. </s>
            <s xml:id="echoid-s2744" xml:space="preserve">C um igitur ſta-
              <lb/>
            tera hæc (ſi pondus mobile altera parte depreſſa haud deorſum prolabi fingas)
              <lb/>
            qualibet gravitate ſitu æquiponderante quemcunque dederisſitum conſervet,
              <lb/>
            ob cauſas antecedente propoſitione de perfectiſſimæ libræ fabrica, expoſitas; </s>
            <s xml:id="echoid-s2745" xml:space="preserve">
              <lb/>
            etiam hæc ſtatera fuerit perfectiſlima. </s>
            <s xml:id="echoid-s2746" xml:space="preserve">Demonſtratio verò è 2 propoſ. </s>
            <s xml:id="echoid-s2747" xml:space="preserve">1 lib. </s>
            <s xml:id="echoid-s2748" xml:space="preserve">evi-
              <lb/>
            dens eſt. </s>
            <s xml:id="echoid-s2749" xml:space="preserve">C*ONCLVSIO*. </s>
            <s xml:id="echoid-s2750" xml:space="preserve">Stateram itaque, ut decuit, perfectiſſimam con-
              <lb/>
            ſtruximus.</s>
            <s xml:id="echoid-s2751" xml:space="preserve"/>
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