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

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002596">
                <pb pagenum="493" xlink:href="010/01/501.jpg"/>
                <arrow.to.target n="marg684"/>
                <lb/>
              quare manifeſtum eſt, quod velocitas deſcenſus auri
                <lb/>
              AC in aqua ad velocitatem deſcenſus ſtanni GI iņ
                <lb/>
              eadem aqua eamdem proportionem habebit, quam̨
                <lb/>
              differentia ponderum AC, DF ad pondus Y, & hoc
                <lb/>
              erat quæſitum. </s>
            </p>
            <p type="margin">
              <s id="s.002597">
                <margin.target id="marg680"/>
              Ca. 2.pr.10.</s>
            </p>
            <p type="margin">
              <s id="s.002598">
                <margin.target id="marg681"/>
              Cap. 11. gra­
                <lb/>
              uia in fluido
                <lb/>
              velocitati­
                <lb/>
              bus inæqua­
                <lb/>
              libus ferri
                <lb/>
              debere.</s>
            </p>
            <p type="margin">
              <s id="s.002599">
                <margin.target id="marg682"/>
              Prop. 140.</s>
            </p>
            <p type="margin">
              <s id="s.002600">
                <margin.target id="marg683"/>
              Ex pr 227.
                <lb/>
              & 228.</s>
            </p>
            <p type="margin">
              <s id="s.002601">
                <margin.target id="marg684"/>
              Cap. 11. gra­
                <lb/>
              uia in fluido
                <lb/>
              velocitati­
                <lb/>
              bus inæqua­
                <lb/>
              libus ferri
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              debere.</s>
            </p>
            <p type="main">
              <s id="s.002602">Et hinc patet neceſſitas quare ſolida ęqualia mo­
                <lb/>
              le, ſed inæqualiter grauia licèt æquè velocia ex ſui
                <lb/>
              natura ſint (ſcilicèt in vacuo)
                <expan abbr="debẽt">debent</expan>
              tamen inæqua­
                <lb/>
              libus velocitatibus in medijs fluidis deſcendere. </s>
            </p>
            <p type="main">
              <s id="s.002603">
                <emph type="center"/>
              PROP. CCXLII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002604">
                <emph type="center"/>
                <emph type="italics"/>
              Præterea idem ſolidum in mcdio fluido rariori, & minus
                <lb/>
              ponderoſo citiùs deſcendet, quàm in grauiori fluido, ſi ta­
                <lb/>
              men vtroque fluido ſolidum grauius ſpecie fuerit.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002605">SInt duo fluida DF grauius, & KM leuius, & iņ
                <lb/>
              vtroque immergatur idem ſolidum AC vtroque
                <lb/>
              fluido grauius; dico, quod AC velocius deſcendet in
                <lb/>
              KM, quam in DF; ſint vt prius moles, & figuræ paral­
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              lelepipedæ æquales, & horizonta­
                <lb/>
                <figure id="id.010.01.501.1.jpg" xlink:href="010/01/501/1.jpg"/>
                <lb/>
              liter diſpoſitæ cum æqualibus flui­
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                <arrow.to.target n="marg685"/>
                <lb/>
              dorum parallelepipedis. </s>
              <s id="s.002606">Quia, vt di­
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              ctum eſt
                <expan abbr="cõſtituuntur">conſtituuntur</expan>
              duo ſiphones,
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              & duæ libræ æquales, & radiorum̨
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              æqualium NO, & QR, quarum cen­
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              tra grauitatum T, & V; & ſummą
                <lb/>
                <arrow.to.target n="marg686"/>
                <lb/>
              ponderum AC, & DF ad horum dif­
                <lb/>
              ferentiam eamdem proportionem̨
                <lb/>
              habet quàm radius libræ PN ad
                <expan abbr="pẽ-duli">pen­
                  <lb/>
                duli</expan>
              longitudinem PT; idemque
                <expan abbr="dicẽdum">dicendum</expan>
              in reliqua
                <lb/>
              libra QR; & eidem ponderi AC additis, & ablatis </s>
            </p>
          </chap>
        </body>
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