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 pagenum="78" xlink:href="037/01/171.jpg"/>
            <p id="id.2.1.908.0.0" type="head">
              <s id="id.2.1.908.1.0">PROPOSITIONE XIIII. </s>
            </p>
            <p id="id.2.1.909.0.0" type="main">
              <s id="id.2.1.909.1.0">Legando la corda d'intorno à tre girelle di due taglie, l'vna del­
                <lb/>
              lequali ſia di ſopra, & habbia vna ſola girella, & l'altra di ſot­
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              to, & ne habbia due, & ſia lega
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              ta al peſo; laqual corda ſia le­
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              gata con l'vno de' capi ſuoi in
                <lb/>
              qualche loco, & l'altro tenu­
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              to dalla poſſanza, che moue il
                <lb/>
              peſo: ſarà lo ſpatio corſo dal­
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              la poſſanza, che tira, quattro
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              volte tanto, quanto è lo ſpatio
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              del peſo moſſo. </s>
            </p>
            <p id="id.2.1.910.0.0" type="main">
              <s id="id.2.1.910.1.0">
                <emph type="italics"/>
              Sia il peſo A, ſiano le due girelle, i cui cen
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              tri
                <emph.end type="italics"/>
              K
                <emph type="italics"/>
              I della taglia legata al peſo con
                <lb/>
              K
                <foreign lang="grc">α</foreign>
              ; di modo, che il peſo ſempre ſegua il
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              mouimento della taglia in ſuſo, ouero in
                <lb/>
              giuſo: ſia dapoi la girella il cui centro L
                <lb/>
              della taglia appeſa di ſopra in
                <foreign lang="grc">δ</foreign>
              ; & ſia la
                <lb/>
              corda BCDEFGHZMNO riuolta
                <lb/>
              intorno à tutte le girelle, & legata in B;
                <lb/>
              & ſia in O la poſſanza, che moue il pe­
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              ſo A. </s>
              <s id="id.2.1.910.2.0">Dico lo ſpatio, ilquale la poſſan
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              za di O mouendo trapaſſa, eſſere quat­
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              tro volte tanto, quanto lo ſpatio del pe­
                <lb/>
              ſo A moſſo. </s>
              <s id="id.2.1.910.3.0">Mouanſi le girelle della
                <lb/>
              taglia legata al peſo; & mentre il centro
                <lb/>
              K è in R, il centro I ſia in S, & il
                <lb/>
              peſo A, cioè il punto
                <foreign lang="grc">α</foreign>
              in
                <foreign lang="grc">β</foreign>
              : ſaranno
                <lb/>
              IS KR
                <foreign lang="grc">αβ</foreign>
              tra ſe eguali, & parimen­
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              te KI ad eſſa RS eguale: percioche le
                <lb/>
              girelle mantengono fra ſe la diſtanza me
                <lb/>
              deſima ſempre; & K
                <foreign lang="grc">α</foreign>
              ſarà eguale ad eſ
                <lb/>
              ſa R
                <foreign lang="grc">β </foreign>
              .</s>
              <s id="id.2.1.910.4.0">ſiano condotte per li centri delle
                <lb/>
              girelle le linee FHQTECVXNZ
                <lb/>
              egualmente distanti dall orizonte, lequa
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              li tocchino le corde ne i punti FH QT
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.037.01.172.1.jpg" xlink:href="037/01/172/1.jpg" number="160"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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