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

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        <body>
          <chap id="N10733">
            <pb xlink:href="041/01/025.jpg" pagenum="24"/>
          </chap>
          <chap id="N10781">
            <p id="N10782" type="head">
              <s id="N10784">
                <emph type="italics"/>
              PROPOSITIONE.
                <emph.end type="italics"/>
                <lb/>
              IV. </s>
            </p>
            <p id="N1078C" type="main">
              <s id="N1078E">Se vna grauezza ſia con vna leua ſoſtenuta da due
                <lb/>
              ponti; & accreſciuta la leua dall altra parte ſi appenda
                <lb/>
              grauezza equiponderante, & ſi traſmuti in ſtatera: ſo­
                <lb/>
              itentarà il ſoſtenimento in tal commutatione peſo mag
                <lb/>
              giore, quale al peſo di prima ſoſtenuto, ha ragione com
                <lb/>
              poſta della ragione delle portioni di tutta la linea accre
                <lb/>
              ſciuta communicanti, alle portioni interuallate: fat­
                <lb/>
              te le due diuiſioni al ponto del ſottoleua, & al ponto
                <lb/>
              del primo momento. </s>
            </p>
            <figure id="id.041.01.025.1.jpg" xlink:href="041/01/025/1.jpg" number="23"/>
            <p id="N107A3" type="head">
              <s id="N107A5">
                <emph type="italics"/>
              Dimoſtratione.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N107AB" type="main">
              <s id="N107AD">
                <emph type="italics"/>
              Sia la leua A B, il ſottoleua in A: la grauezza ſoſtenuta in C, la
                <lb/>
              poſſanza che'l ſoſtiene in B. </s>
              <s>& allungata la B A in vn D, appenda­
                <lb/>
              ſi in D, vna grauezza che ſoſtenti la grauezza C. </s>
              <s id="N107B5">dico che in queſta
                <lb/>
              commutatione il ſottoleua A ſoſtenti peſo maggiore, & che il peſo
                <lb/>
              ſoſtenuto in detta commutatione, al peſo ſoſtenuto di prima, ha la ra­
                <lb/>
              gion compoſta delle D C, A D, parti communicanti, alle D A, a C
                <lb/>
              B, parti interuallate. </s>
              <s id="N107BF">ſi moſtra: perche la parte del peſo ſoſtenuto da
                <lb/>
              A, a tutto il peſo C, ha la ragione, che B C a B A: &. </s>
              <s id="N107C3">il peſo C, ad
                <lb/>
              ambi li peſi C & D, ha la ragione che D A a D C, ma la ragione del­
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
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