Stelliola, Niccol� Antonio, De gli elementi mechanici, 1597

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    <archimedes>
      <text>
        <body>
          <chap id="N105FD">
            <pb xlink:href="041/01/024.jpg" pagenum="23"/>
          </chap>
          <chap id="N10733">
            <p id="N10734" type="head">
              <s id="N10736">
                <emph type="italics"/>
              PROPOSITIONE.
                <emph.end type="italics"/>
                <lb/>
              III. </s>
            </p>
            <p id="N1073E" type="main">
              <s id="N10740">Se il ſottoleua ſia fuori della grauezza, e della poſ­
                <lb/>
              ſanza, ſarà la ragion della poſſanza alla grauezza l'iſteſ
                <lb/>
              ſa, che dell'interualli da eſse al ſottoleua
                <expan abbr="reciprocamẽ­te">reciprocamen­
                  <lb/>
                te</expan>
              pigliati </s>
            </p>
            <figure id="id.041.01.024.1.jpg" xlink:href="041/01/024/1.jpg" number="22"/>
            <p id="N1074F" type="head">
              <s id="N10751">
                <emph type="italics"/>
              Dimoſtratione.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N10757" type="main">
              <s id="N10759">
                <emph type="italics"/>
              Sia la leua A B il ſotto leua A, la grauezza C, il ſuo momento in
                <lb/>
              D, la poſſanza che ſoſtiene in B: dico che la poſſanza alla grauezza
                <lb/>
              ha la ragione, che D A ad A B, che è la ragion delle diſtanze piglia­
                <lb/>
              te dal ſottoleua reciprocamente: ſi moſtra: perche il peſo C, e ſoſten­
                <lb/>
              tato dalla leua B A, e la leua è ſoſtentata in due ponti B & A. </s>
              <s id="N10765">dunque
                <lb/>
              il peſo è ſoſtentato dalle potenze in B & A compartitamente,
                <lb/>
              la poſſanza B ſoſtenta tal portion di peſo, qual'è la diſtanza A D di A
                <lb/>
              B, & A, tal portione qual'è D B, di B A, e perche la poſſanza ſo­
                <lb/>
              ſtenente è uguale al peſo che ſoſtiene, ſono ambe le poſſanze B & A
                <lb/>
              giuntamente pigliate uguali al peſo E; e la portione ſoſtentata da B:
                <lb/>
              al tutto harrà quella ragione che la portion della leua D A a tutta
                <lb/>
              la leua A B. </s>
              <s id="N10776">qual è l'iſteſſa che della diſtanza della grauezza, alla di­
                <lb/>
              ſtanza della potenza. </s>
              <s id="N1077A">ſi ha dunque l'intento.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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