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.002618">
                <pb pagenum="495" xlink:href="010/01/503.jpg"/>
                <arrow.to.target n="marg690"/>
                <lb/>
              ctu, aquæ; ſi enim ſumantur tres moles æquales auri,
                <lb/>
              ſtanni, & aquæ, qualium partium pondus auri fuerit
                <lb/>
              100. pondus ſtanni erit 39 proximè, & pondus aquæ
                <lb/>
              erit 5. cum triente. </s>
              <s id="s.002619">Verùm, ex noſtra inuentione iņ
                <lb/>
              Academia Experimentali Medicea explorauimus
                <lb/>
              proportionem ponderis ſpecifici aquæ ad aerem, quæ
                <lb/>
              fuit vt 1175 ad 1 proximè, igitur qualium partium
                <lb/>
              alicuius ſphęræ aeris pondus eſt vnius grani, erit
                <expan abbr="põ-dus">pon­
                  <lb/>
                dus</expan>
              pilæ aqueæ eiuſdem molis 1175 granorum, qua­
                <lb/>
              re pila ſtannea eiuſdem menſuræ erit 8592
                <expan abbr="granorũ">granorum</expan>
              ,
                <lb/>
              at que pila aurea eiuſdem diametri erit 21406 gra­
                <lb/>
              norum. </s>
              <s id="s.002620">His poſitis facto calculo, vt antepræmiſſą
                <lb/>
              propoſitio perſcribit, reperitur proportio
                <expan abbr="velocitatũ">velocitatum</expan>
                <lb/>
              auri, & ſtanni in aqua vt 10 ad 9 proximè; ſed in ae­
                <lb/>
              re ſi velocitas auri fuerit 21405 erit velocitas ſtanni
                <lb/>
              21404 ferè; & hinc patet quare in aere corpora inę­
                <lb/>
              qualiter grauia vt aurum, & ſtannum vniformi, & æ­
                <lb/>
              quali ferè velocitate deſcendunt, in aqua verò inſi­
                <lb/>
              gni exceſſu velocitas auri ſuperat ſtanni celeritatem
                <lb/>
              in deſcenſu. </s>
            </p>
            <p type="margin">
              <s id="s.002621">
                <margin.target id="marg690"/>
              Cap. 11. gra­
                <lb/>
              uia in fluido
                <lb/>
              velocitati­
                <lb/>
              bus inæqua­
                <lb/>
              libus ferri
                <lb/>
              debere.</s>
            </p>
            <p type="main">
              <s id="s.002622">Sed hìc ſummoperè animaduertendum eſt, quod
                <lb/>
              ſuperiùs expoſita theoria verificatur in paruis altitu­
                <lb/>
              dinibus, & in principijs deſcenſuum, non verò iņ
                <lb/>
              prolixiori motu, propterea quod, vt mox declarabi­
                <lb/>
              mus, ab alia noua cauſa valdè alterantur prædictæ
                <lb/>
              proportiones velocitatum grauium deſcendentium,
                <lb/>
              pro cuius intelligentia præmittuntur hæc. </s>
            </p>
            <p type="main">
              <s id="s.002623">
                <emph type="center"/>
              PROP. CCXLIV.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002624">
                <emph type="center"/>
                <emph type="italics"/>
              Motus deſcenſus cuiuslibet grauis in fluido ſuccesſiuè retar-
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
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