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

Page concordance

< >
Scan Original
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002158">
                <pb pagenum="421" xlink:href="010/01/429.jpg"/>
                <arrow.to.target n="marg549"/>
                <lb/>
              N, nifi quia prædicta fluida diuerſimodè reſiſtunt, &
                <lb/>
              alterant naturalem impetum, & motum eiuſdem mo­
                <lb/>
              bilis. </s>
              <s id="s.002159">Supponamus igitur, quod gradus abſolutus ve­
                <lb/>
              locitatis grauis A non retardatus, neque impeditus
                <lb/>
              à craſſitie alicuius medij fluidi ſit
                <expan abbr="tãtæ">tantæ</expan>
              energiæ vt
                <expan abbr="tẽ-pore">ten­
                  <lb/>
                pore</expan>
              T excurrere poſſit prolixiùs ſpatium CL; quare
                <lb/>
              retardatio profecta à craſſitie fluidi M impedientę
                <lb/>
              eius motum ſit DL, ſed à maiori craſſitie R alterius
                <lb/>
              fluidi N retardetur ſubtrahaturque ab integro, & na­
                <lb/>
              turali eius fluxu ſpatium EL maius quam DL. modò
                <lb/>
              ſi retardatio DL facta à denſitate S fluidi M mi­
                <lb/>
              nor fuerit ſpatio CE exacto in fluido N minori ve­
                <lb/>
              locitate; dico, quod corporis A maior velocitas in
                <lb/>
              fluido M ad minorem velocitatem, quam exercet in
                <lb/>
              fluido N minorem proportionem habebit, quàm
                <expan abbr="re-ſiſtẽtia">re­
                  <lb/>
                ſiſtentia</expan>
              , ſeù craſſities R ad reſiſtentiam S: ſi verò DL
                <lb/>
              æqualis fuerit CE proportionalia erunt; & tandem̨
                <lb/>
              ſi DL maior fuerit, quam CE, tunc velocitas, quam̨
                <lb/>
              exercet A in M ad velocitatem, quam exercet in N
                <lb/>
                <expan abbr="maiorẽ">maiorem</expan>
                <expan abbr="proportionẽ">proportionem</expan>
              habebit, quàm craſſities R ad S. </s>
            </p>
            <p type="margin">
              <s id="s.002160">
                <margin.target id="marg549"/>
              Cap. 10. de
                <lb/>
              æquitempo­
                <lb/>
              ranea natu­
                <lb/>
              rali veloci­
                <lb/>
              tate
                <expan abbr="grauiũ">grauium</expan>
              .</s>
            </p>
            <p type="main">
              <s id="s.002161">Ponamus primò DL minorem eſſe, quàm CE. quia
                <lb/>
              eadem ED ad maiorem CE habet
                <expan abbr="minorẽ">minorem</expan>
              propor­
                <lb/>
              tionem quàm ad minorem DL, igitur componendo
                <lb/>
              DC ad CE minorem proportionem habebit, quàm̨
                <lb/>
              EL ad LD, ſed vt DC ad CE, ita ſe habet velocitas
                <lb/>
              ipſius A in fluido M ad
                <expan abbr="velocitatẽ">velocitatem</expan>
              eiuſdem in fluido
                <lb/>
              N, (propterea quòd velocitates eodem tempore T
                <lb/>
              exactè proportionales ſunt ſpatijs excurſis): & ſimi­
                <lb/>
              litèr impedimentum, & retardatio, quam affert craſ-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum