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

Page concordance

< >
Scan Original
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002153">
                <pb pagenum="420" xlink:href="010/01/428.jpg"/>
                <arrow.to.target n="marg548"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002154">
                <margin.target id="marg547"/>
              Ibidem.</s>
            </p>
            <p type="margin">
              <s id="s.002155">
                <margin.target id="marg548"/>
              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.002156">
                <emph type="center"/>
              PROP. CCIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002157">
                <emph type="center"/>
                <emph type="italics"/>
              Modò noua demonſtratione noſtra oſtendemus, quòd in duo­
                <lb/>
              bus medijs fluidis inæqualitèr denſis, & reſistentibus
                <lb/>
              velocitates eiuſdem corporis grauis poſſunt habere maio­
                <lb/>
              rem, eamdem, & minorem proportionem reciprocam,
                <lb/>
              quam habent crasſities eorumdem fluidorum, ſi tamen
                <lb/>
              graue in vtroque fluido deſcendat.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002158">IN vaſe CF ſit fluidum M, cuius
                <expan abbr="dẽſitas">denſitas</expan>
              , craſſities,
                <lb/>
              vel reſiſtentia ad diſtractionem erit certæ, ac de­
                <lb/>
              terminatæ menſuræ, ſit illa S, atque in vaſe CG po­
                <lb/>
              natur aliud fluidum N, cuius craſſities, & reſiſtentia
                <lb/>
                <figure id="id.010.01.428.1.jpg" xlink:href="010/01/428/1.jpg" number="147"/>
                <lb/>
              R ſit maior, quàm S. præterea
                <lb/>
              idem mobile A, quod in vtro­
                <lb/>
              que fluido M, & N deſcende­
                <lb/>
              re valeat, eodem tempore T
                <lb/>
              percurrat ſpatium CD fluidi
                <lb/>
              M, ſpatium verò CE alterius
                <lb/>
              fluidi N. & quia vis motiuą
                <lb/>
              eiuſdem mobilis A vnica eſt,
                <lb/>
              & certi, ac determinati gra­
                <lb/>
              dus, propterea impetus, & ve­
                <lb/>
              locitas naturalis eiuſdem gra­
                <lb/>
              uis A ſemper eſt
                <expan abbr="eadẽ">eadem</expan>
              , & eiuſ­
                <lb/>
              dem gradus, ſi omninò remo­
                <lb/>
              ueri poſſent impedimenta, quæ à medij reſiſtentią
                <lb/>
              afferuntur,
                <expan abbr="cũ">cum</expan>
              nulla alia de cauſa alteretur, varietur­
                <lb/>
              que velocitas eiuſdem grauis A in diuerſis fluidis M, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum