DelMonte, Guidubaldo, Le mechaniche

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    <archimedes>
      <text id="id.0.0.0.0.3">
        <body id="id.2.0.0.0.0">
          <chap id="N14EBE">
            <pb xlink:href="037/01/168.jpg"/>
            <p id="id.2.1.898.0.0" type="main">
              <s id="id.2.1.898.1.0">
                <emph type="italics"/>
              Percioche ſtando le co­
                <lb/>
              ſe iſteſſe, ſia il peſo
                <lb/>
              V eguale ad eſſo A,
                <lb/>
              alquale ſia legata la
                <lb/>
              corda X
                <foreign lang="el">*s</foreign>
              ; & ſia
                <lb/>
              la poſſanza in X che
                <lb/>
              moue il peſo V; la
                <lb/>
              quale mentre moue
                <lb/>
              il peſo, peruenga in
                <lb/>
                <foreign lang="grc">Υ</foreign>
              : & ſiano fatte
                <lb/>
              X
                <foreign lang="grc">Υ</foreign>
              Z
                <foreign lang="el">*s</foreign>
              eguali ad
                <lb/>
              eſſa OP; ſarà Z
                <foreign lang="el">*s</foreign>
                <lb/>
              due volte tanto
                <expan abbr="quã­to">quan­
                  <lb/>
                to</expan>
              QS. </s>
              <s id="N1626E">& ſe le
                <lb/>
              velocità de' moui­
                <lb/>
              menti dell'vna, &
                <lb/>
              l'altra poſſanza ſa­
                <lb/>
              ranno eguali; egli è
                <lb/>
              manifeſto, che il pe­
                <lb/>
              ſo V trapaſſa due
                <lb/>
              volte tanto ſpatio
                <lb/>
              nell'iſteſſo tempo, di
                <lb/>
              quel che trapaſſi il
                <lb/>
              peſo A: percioche
                <lb/>
              nel tempo medeſimo
                <lb/>
              la poſſanza di X per­
                <lb/>
              uiene ad
                <foreign lang="grc">Υ</foreign>
              , & la
                <lb/>
              poſſanza di O à P;
                <lb/>
              & li peſi ſimilmen­
                <lb/>
              te in ZQ. </s>
              <s id="N16294">che era
                <lb/>
              da moſtrarſi.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.037.01.168.1.jpg" xlink:href="037/01/168/1.jpg" number="157"/>
            <p id="id.2.1.900.0.0" type="head">
              <s id="id.2.1.900.1.0">PROPOSITIONE XIII. </s>
            </p>
            <p id="id.2.1.901.0.0" type="main">
              <s id="id.2.1.901.1.0">Riuolgendo la corda d'intorno à due girelle di due taglie, I'vna
                <lb/>
              dellequali ſia di ſopra, & l'altra di ſotto, & legata al peſo; eſ­
                <lb/>
              ſendo anche l'vno de' capi di detta corda legato alla taglia di
                <lb/>
              ſotto, & l'altro tenuto dalla poſſanza che moue; ſarà lo ſpatio
                <lb/>
              corſo della poſſanza, che tira, tre volte tanto quanto lo ſpati
                <lb/>
              del peſo moſſo. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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