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">
            <p id="id.2.1.910.0.0" type="main">
              <s id="id.2.1.910.4.0">
                <pb xlink:href="037/01/172.jpg"/>
                <emph type="italics"/>
              EC VX NZ che parimente ſaranno
                <lb/>
              fra loro egualmente diſtanti: & EQ CT
                <lb/>
              VN XZ non ſolamente fra ſe, ma
                <lb/>
              ancora ad eſſe IS KR
                <foreign lang="grc">αβ</foreign>
              ſaranno e­
                <lb/>
              guali: & mentre li centri KI ſono in
                <lb/>
              RS, la poſſanza di O ſia moſſa in P.
                <lb/>
              </s>
              <s id="id.2.1.910.5.0">Et percioche la corda BCDEFGHZ
                <lb/>
              MNO è eguale alla corda BT
                <foreign lang="el">*s</foreign>
              QF
                <lb/>
              GHX
                <foreign lang="grc">Υ</foreign>
              VP eſſendo vna corda mede­
                <lb/>
              ſima, & le corde d'intorno à mezi cerchi
                <lb/>
              T
                <foreign lang="el">*s</foreign>
              Q X
                <foreign lang="grc">Υ</foreign>
              V ſono eguali alle corde, che
                <lb/>
              ſono d'intorno à CDE ZMN; tolte
                <lb/>
              via dunque le communi BT, QFGHX,
                <lb/>
              & VO; ſarà OP eguale ad eſſe VN
                <lb/>
              XZ CT QE preſe tutte inſieme. </s>
              <s id="id.2.1.910.6.0">ma le
                <lb/>
              quattro VN ZX CT QE ſono tra ſe
                <lb/>
              eguali, & inſieme quattro volte tanto
                <lb/>
              quanto KR &
                <foreign lang="grc">αβ</foreign>
              . </s>
              <s id="id.2.1.910.7.0">Per laqual coſa OP
                <lb/>
              ſarà quattro volte tanto quanto è eſſa
                <lb/>
                <foreign lang="grc">αβ</foreign>
              . </s>
              <s id="id.2.1.910.8.0">Adunque lo ſpatio della poſſanza
                <lb/>
              è quattro volte tanto quanto è lo ſpatio
                <lb/>
              del peſo. </s>
              <s id="id.2.1.910.9.0">che era da moſtrare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.912.0.0" type="main">
              <s id="id.2.1.912.1.0">
                <emph type="italics"/>
              Et ſe la corda in P ſarà dauantaggio ri­
                <lb/>
              uolta d'intorno ad vn'altra girella verſo il
                <lb/>
                <foreign lang="grc">δ</foreign>
              , & la poſſanza mouendoſi in giù mo
                <lb/>
              ua in sù il peſo: ſimilmente ſi moſtrerà
                <lb/>
              lo ſpatio della poſſanza eſſere quattro
                <lb/>
              volte tanto quanto lo ſpatio del peſo.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.037.01.172.2.jpg" xlink:href="037/01/172/2.jpg" number="161"/>
            <p id="id.2.1.914.0.0" type="main">
              <s id="id.2.1.914.1.0">
                <emph type="italics"/>
              Ma ſe la corda in B ſi riuolgerà d'intorno ad
                <lb/>
              vn'altra girella, laqual corda ſi leghi da
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note247"/>
                <emph type="italics"/>
              poi alla taglia di ſotto; ſarà la poſſanza
                <lb/>
              di O, che ſoſtiene il peſo A vn quinto
                <lb/>
              dal peſo. </s>
              <s id="id.2.1.914.2.0">& ſe in O ſarà la poſſanza,
                <lb/>
              che moua il peſo A; ſimilmète ſi dimoſtre
                <lb/>
              rà lo ſpatio della poſſanza poſta in O eſ­
                <lb/>
              ſere cinque volte tanto quanto lo ſpatio del peſo A.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.915.0.0" type="margin">
              <s id="id.2.1.915.1.0">
                <margin.target id="note247"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              9.
                <emph type="italics"/>
              di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.916.0.0" type="main">
              <s id="id.2.1.916.1.0">
                <emph type="italics"/>
              Et ſe la corda ſi adatterà in modo d'intorno alle girelle, che la poſſanza di O ſoſtenen
                <lb/>
              te il peſo ſia vn ſeſto del peſo; & in loco della poſſanza ſoſtenente il peſo, ſi met­
                <lb/>
              ta in O la poſſanza, che lo moua; nell'iſteſſo modo ſi moſtrerà lo ſpatio della poſ­
                <lb/>
              ſanza eſſere ſei volte tanto quanto lo ſpatio del peſo moſſo. </s>
              <s id="id.2.1.916.2.0">& coſi procedendo in
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>