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

Page concordance

< >
Scan Original
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
< >
page |< < of 579 > >|
    <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>
    </archimedes>
Impressum