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

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        <body>
          <chap id="N10205">
            <p id="N10225" type="main">
              <s id="N10227">
                <pb xlink:href="041/01/008.jpg" pagenum="7"/>
                <emph type="italics"/>
              la ſtatera nel ponto E, ſta in equilibrio. </s>
              <s id="N10237">Si moſtra alla linea, B E, ta­
                <lb/>
              gliſi eguale la linea A F, dunque giunta communemente, F E, ſarà B
                <lb/>
              F, vguale ad A E, e perciò haurà B F, ad F A, l'iſteſſa ragione, che
                <lb/>
              D, a C. </s>
              <s id="N1023F">facciaſi alla B F, vguale, B G, & alla A F, vguale A H,
                <lb/>
              dunque ſe alla linea, G F, s'intenda applicato un corpo eguale di peſo
                <lb/>
              alla grauezza D, e tal corpo ſi allunghi nella isteſſa groſſezza fin ad H,
                <lb/>
              ſarà il corpo applicato ad F H, uguale di peſo a C: percio che hauendo
                <lb/>
              G F, ad F H, l'iſteſſa ragione che D, a C, e li corpi applicati l'iſteſ­
                <lb/>
              ſa delle linee: ſono perciò come la grauezza D alla C, coſi il cor­
                <lb/>
              po applicato ad F G, al corpo applicato ad H F: dunque mutando, ſo­
                <lb/>
              no anco proportionali: ma il corpo applicato a G F, è di peſo uguale al
                <lb/>
              D, dunque l'applicato ad F H è vguale di peſo a C: & è delli due ap­
                <lb/>
              plicati, il commune punto di momento in E. </s>
              <s id="N10253">Dunque delli D C inſie­
                <lb/>
              me pigliati il commun momento è nel ponto iſteſſo: & percio la ſtatera
                <lb/>
              ſoſtenuta in E, ſta in equilibrio, ilche ſi hauea da moſtrare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1025B" type="head">
              <s id="N1025D">
                <emph type="italics"/>
              Appendice.
                <emph.end type="italics"/>
              I. </s>
            </p>
            <p id="N10264" type="main">
              <s id="N10266">Dal che è manifeſto che'l centro commune di due
                <lb/>
              peſi è il ponto che diuide l'interuallo de'centri loro, re­
                <lb/>
              ciprocamente. </s>
            </p>
            <p id="N1026C" type="head">
              <s id="N1026E">
                <emph type="italics"/>
              Appendice.
                <emph.end type="italics"/>
              II. </s>
            </p>
            <p id="N10275" type="main">
              <s id="N10277">E ſe due grauezze diuiſamente ſi appendono: che di­
                <lb/>
              uiſo l'interuallo nella ragione delle grauezze recipro­
                <lb/>
              camente: dette grauezze, fanno l'iſteſſo effetto nel
                <expan abbr="mo­mẽto">mo­
                  <lb/>
                mento</expan>
              , che ſe in detto ponto
                <expan abbr="giuntamẽte">giuntamente</expan>
              fuſſero appeſe. </s>
            </p>
          </chap>
          <chap id="N10287">
            <p id="N10288" type="head">
              <s id="N1028A">
                <emph type="italics"/>
              PROPOSITIONE.
                <emph.end type="italics"/>
                <lb/>
              IIII. </s>
            </p>
            <p id="N10292" type="main">
              <s id="N10294">Se due grauezze appeſe in due ponti facciano equi­
                <lb/>
              pondio: e di nuouo appeſe in due altri ponti facciano </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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