Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000611">
                <pb pagenum="122" xlink:href="010/01/130.jpg"/>
                <arrow.to.target n="marg151"/>
                <lb/>
              aqua communis; quantò ille leuior eſt aqua commu­
                <lb/>
              ni, ergò reſiſtentia quam aqua in fert veſicæ
                <expan abbr="aſcendẽ-ti">aſcenden­
                  <lb/>
                ti</expan>
              ad reſiſtentiam ſpiritus vini eamdem
                <expan abbr="proportionẽ">proportionem</expan>
                <lb/>
              reciprocè habet, quam ſpiritus vini leuitas ad aquæ
                <lb/>
              communis leuitatem. </s>
              <s id="s.000612">Quapropter aqua communis
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              duplò reſiſtentior erit quàm ſpiritus vini, veluti iſte
                <lb/>
              ſupponitur duplò leuior illo. </s>
              <s id="s.000613">Modò, quia aduerſarius
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              ſupponit, quòd conatus, & impetus quo aſcendit
                <lb/>
              aerea veſica per prædicta duo fluida menſurari de­
                <lb/>
              beat ab exceſſu, ſeu differentia leuitatum
                <expan abbr="eorumdẽ">eorumdem</expan>
                <lb/>
              corporum, igitur aerea veſica B, quæ tres gradùs le­
                <lb/>
              uitatis habebat, aſcendet per
                <expan abbr="aquã">aquam</expan>
              A vnum gradum
                <lb/>
              leuitatis habentem conatu, ſeu impetu menſurato à
                <lb/>
              differentia prædictarum leuitatum, quæ erit
                <expan abbr="duorũ">duorum</expan>
                <lb/>
              graduum, ſed in ſpiritu vini O qui duos gradus leui­
                <lb/>
              tatis habebat, aſcendet, eadem pila B impetu æquali
                <lb/>
              differentiæ leuitatum
                <expan abbr="eorũdem">eorundem</expan>
              corporum, quæ erit
                <lb/>
              vnius ſolummodò gradus, & hæc quidem
                <expan abbr="conſequũ-tur">conſequun­
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                tur</expan>
              ex demonſtratis in pr. 48. & 52. qua proptèr ra­
                <lb/>
              tione differentiarum inter leuitatem corporis B, &
                <lb/>
              leuitates prædictorum fluidorum veſica B per aquam
                <lb/>
              aſcendet conatu, & impetu duplo eius, quo per ſpi­
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              ritum vini eleuatur; nihilominùs velocitas qua præ­
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              dicta veſica B aſcendit in aqua, non poterit eſſe du­
                <lb/>
              pla eius, qua ſublimatur in ſpiritu vini, licèt virtus, &
                <lb/>
              energia, qua impellitur per aquam dupla ſit eius,
                <lb/>
              quæ in ſpiritu vini exercetur, proptereà quod ſuper­
                <lb/>
              uenit noua cauſa, à qua prædicti impetus
                <expan abbr="retardãtur">retardantur</expan>
              ,
                <lb/>
              & valdè alterantur, hæc verò eſt maior
                <expan abbr="dẽſitas">denſitas</expan>
              aquæ </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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