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

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    <archimedes>
      <text>
        <body>
          <chap id="N10854">
            <pb xlink:href="041/01/029.jpg" pagenum="28"/>
          </chap>
          <chap id="N108B3">
            <p id="N108B4" type="head">
              <s id="N108B6">
                <emph type="italics"/>
              PROPOSITIONE.
                <emph.end type="italics"/>
                <lb/>
              VII. </s>
            </p>
            <p id="N108BE" type="main">
              <s id="N108C0">Se'l centro del peſo attaccato ad eſſa leua ſia ſopra
                <lb/>
              della leua, inalzata la leua, la poſſanza ſoſtentarà minor
                <lb/>
              peſo. </s>
            </p>
            <figure id="id.041.01.029.1.jpg" xlink:href="041/01/029/1.jpg" number="26"/>
            <p id="N108C9" type="head">
              <s id="N108CB">
                <emph type="italics"/>
              Dimoſtratione.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N108D1" type="main">
              <s id="N108D3">
                <emph type="italics"/>
              Sia la leua A B, a cui ſia attaccata vna grauezza, il cui centro ſia
                <lb/>
              C: & intendaſi detta leua in ſito dall'orizonte eleuato: dico che la po­
                <lb/>
              tenza B, ſoſtenta del peſo della grauezza minor portione, che nel ſito
                <lb/>
              orizontale. </s>
              <s id="N108DD">ſi moſtra: tirinſi dal ponto C linee, l'vna perpendicolare
                <lb/>
              alla leua che ſia C D, & l'altra perpendicolare all'orizonte, che
                <lb/>
              ſia C E, che ſeghi la leua nel ponto E: è manifeſto che'l detto ponto
                <lb/>
              ſarà più diſcoſto dalla poſſanza, e più vicino al ponto del ſottoleua. </s>
              <s id="N108E5">ſe
                <lb/>
              dunque per lo ponto C, ſi tiri la linea G C F, parallela all'orizonte, &
                <lb/>
              per li ponti B & A, le linee B F, A G, perpendicolari
                <expan abbr="all'orizõte">all'orizonte</expan>
              è mani
                <lb/>
              feſto, che l'iſteſſo effetto fa la poſſanza in F che ſe fuſſe in B, e lo ſoſtegno
                <lb/>
              in A l'iſteſſo che ſe fuſſe in C: percioche ciaſcun momento opera ſecon
                <lb/>
              da la ſua perpendicolare: perche dunque poſta la poſſanza in F, e lo ſo­
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>