DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.31.1.0.0.0" type="main">
              <s id="id.2.1.31.1.1.20.0">
                <pb n="19" xlink:href="036/01/051.jpg"/>
              mùm quidem ex eorummet demonſtrationibus colligi poteſt, a­
                <lb/>
              ſcenſum ponderis in E verſus B rectiorem eſſe aſcenſu ponderis
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              in D verſus F; hoc eſt minus capere de directo aſcenſum pon­
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              deris in D in arcubus æqualibus aſcenſu ponderis in E. </s>
              <s id="id.2.1.31.1.1.20.0.a">ſuppona
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              tur ergo ſecundùm ſitum pondus leuius eſſe, quantò in eodem ſi­
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              tu minus rectus eſt aſcenſus: quæ quidem ſuppoſitio, adeò ma­
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              nifeſta eſſe videtur, veluti ipſorum altera. </s>
              <s id="id.2.1.31.1.1.21.0">Quoniam igitur aſcen­
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              ſus ponderis in E rectior eſt aſcenſu ponderis in D; per ſuppoſi­
                <lb/>
              tionem pondus in D leuius erit pondere in E. ergo pondus in
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              D ſurſum à pondere in E mouebitur, ita vt libra in FG perue
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              niat. </s>
              <s id="id.2.1.31.1.1.22.0">atq; ita demonſtrari poterit, libram DE in FG moueri.
                <lb/>
              </s>
              <s id="id.2.1.31.1.1.23.0">quæ quidem demonſtratio inutilis eſt prorſus, eaſdemq; patitur
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              difficultates. </s>
              <s id="id.2.1.31.1.1.24.0">licet enim tanquàm verum admittatur pondus in E
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              aſcendendo grauius eſſe pondere in D ſimiliter aſcendendo,
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              non tamen ex hoc ſequitur, pondus in E deſcendendo grauius
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              eſſe pondere in D aſcendendo. </s>
              <s id="id.2.1.31.1.1.25.0">Neutra igitur harum demon­
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              ſtrationum libram DE, vel in AB redire, vel in FG moue­
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              ri, oſtendentium, vera eſt. </s>
            </p>
            <p id="id.2.1.32.1.0.0.0" type="margin">
              <s id="id.2.1.32.1.1.1.0">
                <margin.target id="note57"/>
              15
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.32.1.1.2.0">
                <margin.target id="note58"/>
              26
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.33.1.0.0.0" type="main">
              <s id="id.2.1.33.1.1.1.0">Præterea ſi ipſorum ſuppoſitionem, eorumq; verborum vim
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              rectè perpendamus; alium certè habere ſenſum conſpiciemus. </s>
              <s id="id.2.1.33.1.1.2.0">nam
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              cùm ſemper ſpatium, per quod naturaliter pondus mouetur, à cen
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              tro grauitatis ipſius ponderis ad centrum mundi, inſtar rectæ li­
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              neæ à centro grauitatis ad centrum mundi productæ, ſit ſumendum;
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              tantò huiusmodi ponderis deſcenſus, magis, minusuè obliquus
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              dicetur; quantò ſecundùm ſpatium inſtar prædictæ lineæ deſigna
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              tum, magis, aut minus (naturalem tamen locum petens, ſemperq;
                <lb/>
              magis ipſi appropinquans) mouebitur; ita vt tantò obliquior de­
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              ſcenſus dicatur, quantò recedit ab eiuſmodi ſpatio: rectior verò,
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              quantò ad idem accedit. </s>
              <s id="id.2.1.33.1.1.3.0">& in hoc ſenſu ſuppoſitio illa nemini
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              difficultatem parere debet, adeò enim veritas eius conſpicua eſt;
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              rationiq; conſentanea: vt nulla proſus manifeſtatione egere vi­
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              deatur. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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