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

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