Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/014.jpg" pagenum="6"/>
              velociùs mouetur quàm D, & D quàm C, & C
                <lb/>
              quàm B, & B quàm A, & A quàm S, hoc eſt
                <lb/>
              pondus P illi adne xum. </s>
              <s>Igitur motus poten­
                <lb/>
              tiæ in M (liceat in pagellâ rem ad calculos
                <lb/>
              reuocare) ad
                <expan abbr="motũ">motum</expan>
              ponderis P eſt vt 15625
                <lb/>
              ad 1. ſunt nimirum ſex Rationes quintuplæ,
                <lb/>
              ex quibus Ratio motûs potentiæ ad motum
                <lb/>
              ponderis componitur. </s>
              <s>Quare potentia, quæ
                <lb/>
              abſque machinæ ſubſidio centum pondo mo
                <lb/>
              uere valeret, hac adhibitâ machinâ pondus
                <lb/>
              P librarum 1562500. attollet. </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="note3"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note3"/>
                <emph type="italics"/>
                <lb/>
              III
                <lb/>
              Cochleæ in­
                <lb/>
              finitæ Com­
                <lb/>
              poſitæ uires
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              cum Gloſſo­
                <lb/>
              como com­
                <lb/>
              parantur.
                <lb/>
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Iam verò in minorum tympanorum FG
                <lb/>
              HIK locum reponantur helices maiorum̨
                <lb/>
              tympanorum ABCDE denticulis (quos 25 in
                <lb/>
              toto ambitu fuiſſe exempli gratia ſtatuamus)
                <lb/>
              congruentes: ipſaque tympana cum ſuis
                <lb/>
              axibus in ſpiram deformatis in quadrato lo­
                <lb/>
              culamento, vt helicis inſinitæ natura fert,
                <lb/>
              aptè diſponantur. </s>
              <s>Conſtat tympani A pe­
                <lb/>
              ripheriam quintuplo tantùm velociorem eſſe
                <lb/>
              pondere P; at peripheriam B vigequintuplo
                <lb/>
              velociorem quàm A: vnicus enim tympani A
                <lb/>
              denticulus promouetur ab integrâ ipſius B
                <lb/>
              conuerſione; ideoque vt ſemel A gyrum ab­
                <lb/>
              ſoluat, vicies & quinquies tympanum B con­
                <lb/>
              uertatur oportet. </s>
              <s>Eademque ratione tympani
                <lb/>
              C motus cum tympani B motu comparatur,
                <lb/>
              cuiuseſt vigequintuplus: quemadmodum & </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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