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

Page concordance

< >
Scan Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
< >
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