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

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          <pb o="84" file="527.01.084" n="84" rhead="2 *LIBER STATICÆ*"/>
        </div>
        <div xml:id="echoid-div373" type="section" level="1" n="267">
          <head xml:id="echoid-head282" xml:space="preserve">2 Exemplum.</head>
          <p>
            <s xml:id="echoid-s2610" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s2611" xml:space="preserve">Eſto A B ſolidum quodcunque datum.</s>
            <s xml:id="echoid-s2612" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2613" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s2614" xml:space="preserve">Gravitatis planum diametrale, diametrum perpendicula-
              <lb/>
            rem, atque ipſum denique centrum mechanicè invenite.</s>
            <s xml:id="echoid-s2615" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div374" type="section" level="1" n="268">
          <head xml:id="echoid-head283" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s2616" xml:space="preserve">Oblatum corpus A B in acie C D verſato donec æquamentum utriuſque
              <lb/>
            partis adeptus videbere, ſitq́ue in E, planum igitur per E horizonti normale
              <lb/>
            erit quæſitum diametrale planum, quod altero ſimili interſectum gravitatis
              <lb/>
            perpendicularem diametrum in communiſe-
              <lb/>
            ctione deſcribet, denique tertium tranſver-
              <lb/>
            ſum diametrale planum eandem in gravitatis
              <lb/>
            centro incîdet. </s>
            <s xml:id="echoid-s2617" xml:space="preserve">Quarum demonſtratio ex an-
              <lb/>
            tecedentibus perſpicitur.</s>
            <s xml:id="echoid-s2618" xml:space="preserve"/>
          </p>
          <figure number="126">
            <image file="527.01.084-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.084-01"/>
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          <p>
            <s xml:id="echoid-s2619" xml:space="preserve">C*ONCLVSIO*. </s>
            <s xml:id="echoid-s2620" xml:space="preserve">Itaque ſolidi cujuſcun-
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            quegravitatis diametrale planum, diametrum
              <lb/>
            perpendicularem, & </s>
            <s xml:id="echoid-s2621" xml:space="preserve">centrum invenimus.
              <lb/>
            </s>
            <s xml:id="echoid-s2622" xml:space="preserve">Quodfacere oportebat.</s>
            <s xml:id="echoid-s2623" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div375" type="section" level="1" n="269">
          <head xml:id="echoid-head284" xml:space="preserve">2 PROPOSITIO</head>
          <p>
            <s xml:id="echoid-s2624" xml:space="preserve">Libram perfectiſsimam fabricari.</s>
            <s xml:id="echoid-s2625" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div376" type="section" level="1" n="270">
          <head xml:id="echoid-head285" xml:space="preserve">CONSTRVCTIO.</head>
          <p>
            <s xml:id="echoid-s2626" xml:space="preserve">In medio ſcapiſeu librilis A B, cujus examen loco convenienti ſit, rectam
              <lb/>
            C D ſub examinis mediolateribus ſcapi perpendicularem inſcribito, tantum
              <lb/>
            deinde materię à parte præponderante auferto donecſcapus ſecundum rectam
              <lb/>
            C D aciei impoſitus utroque radio æquamentum nactus erit. </s>
            <s xml:id="echoid-s2627" xml:space="preserve">hinc E D duci-
              <lb/>
            to lateri perpĕdicularem, in qua perpendicularem diametrũ inquires, ſcapo ſeu
              <lb/>
            librili acutiſſimo mucroni impoſito atque huc illuc ſecundum rectam D E im-
              <lb/>
            pellens donec æquilibritas inventa ſit, ut puta in puncto F, punctum deinde
              <lb/>
            ſimile in oppoſito latere imprimito, recta ea connectens erit ſcapi perpendicu-
              <lb/>
            laris diameter notans aciem, axis tranſverſi quod eſtferramentum tranſverſim
              <lb/>
            librili infixum extremæ aginæ fibulis inhærens deinde quia lances è librili un-
              <lb/>
            cis ſuſpenduntur, horum confinia A, B & </s>
            <s xml:id="echoid-s2628" xml:space="preserve">tranſverſi axis terminus conſtituan-
              <lb/>
            tur in eàdem recta A F B, confinia inquam uncorum illa quâ librile contin-
              <lb/>
            gunt. </s>
            <s xml:id="echoid-s2629" xml:space="preserve">Sin verò lances non uncis ſed alius generis retinaculis è jugoſeu librili
              <lb/>
            dependeant, ipſorum ſimile confinium conſiderandum, quibus & </s>
            <s xml:id="echoid-s2630" xml:space="preserve">aginæ fibu-
              <lb/>
            lis loco convenienti conſtitutis, libra iſta ponderibus æqualibus in utramque
              <lb/>
            lancem impoſitis, ſervabit eum quem dederis ſitum, quamdiu axis tranſverſus
              <lb/>
            aciei ſuæ innitetur, cujus veritas è 10 propoſ. </s>
            <s xml:id="echoid-s2631" xml:space="preserve">I libri de Staticæ principiis clare
              <lb/>
            perſpicitur.</s>
            <s xml:id="echoid-s2632" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2633" xml:space="preserve">Verumenimverò libram hanc eſſe perfectiſſimam patet è I exemplo, 12 pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s2634" xml:space="preserve">I lib. </s>
            <s xml:id="echoid-s2635" xml:space="preserve">ubi demonſtratum eſt, poſito E firmitudinis puncto quantum </s>
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