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

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      <text>
        <body>
          <chap id="N10366">
            <p id="N10385" type="main">
              <s id="N10387">
                <pb xlink:href="041/01/012.jpg" pagenum="11"/>
                <figure id="id.041.01.012.1.jpg" xlink:href="041/01/012/1.jpg" number="10"/>
                <lb/>
                <emph type="italics"/>
              eſtremi termini ſiano uguali. </s>
              <s id="N103AF">ſi moſtra: perche A C a C B ſi è poſta co­
                <lb/>
              me G ad H: dunque riuoltando H à G, è come B C à C A. </s>
              <s>e per l'e­
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              quipondio, come la diſtanza B C a C A coſi la grauezza D ad E, &
                <lb/>
              come D ad E coſi ſi è pigliato F a G: dnnque F a G e come B C a C A,
                <lb/>
              e nell'iſteſſa ragione era H a G. </s>
              <s id="N103B9">hanno dunque li due termini F et H l'i­
                <lb/>
              ſteſſa ragione al termine G. </s>
              <s>e perciò li F & H ſono eguali tra di loro:
                <lb/>
              il che ſi hauea da moſtrare.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
          <chap id="N103C1">
            <p id="N103C2" type="head">
              <s id="N103C4">
                <emph type="italics"/>
              PROPOSITIONE
                <emph.end type="italics"/>
                <lb/>
              VIII. </s>
            </p>
            <p id="N103CC" type="main">
              <s id="N103CE">Li momenti delle grauezze uguali, appeſe in diſtan­
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              ze ineguali, hanno fra di loro la proportione che le di­
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              ſtanze. </s>
            </p>
            <p id="N103D4" type="head">
              <s id="N103D6">
                <emph type="italics"/>
              Dimoſtratione.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N103DC" type="main">
              <s id="N103DE">
                <emph type="italics"/>
              Sia la ſtatera A B, il ponto del ſoſtenimento C, le grauezze uguali D
                <lb/>
              & E. </s>
              <s id="N103E4">de quali il D ſia appeſo in A, & l'c in F. </s>
              <s id="N103E6">dico che il momento
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              di D al momento di E, hà quella ragione che l'interuallo di A C all'­
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              interuallo di F C. </s>
              <s id="N103EC">ſi moſtra, pigliato dall' altra parte del ſeſtem­
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              mento C, qual ſi uoglia ponto B: intendaſi in eſſa appeſe due grauezze,
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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