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

Table of figures

< >
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002161">
                <pb pagenum="422" xlink:href="010/01/430.jpg"/>
                <arrow.to.target n="marg550"/>
                <lb/>
              ſities R fluidi N motui corporis A ad
                <expan abbr="eã">eam</expan>
              retardatio­
                <lb/>
              nem quam ei affert craſſities S fluidi M eodem tem­
                <lb/>
              pore T, ſe habet vt ſpatium EL ad ſpatium DL, quæ
                <lb/>
              ſunt retardationes factæ in eiſdem fluidis, igitur ve­
                <lb/>
              locitas corporis A in fluido M ad eiuſdem velocita­
                <lb/>
              tem in fluido N habebit
                <expan abbr="minorẽ">minorem</expan>
              proportionem,
                <expan abbr="quã">quam</expan>
                <lb/>
              craſſities, & reſiſtentia fluidi N ad craſſitiem alterius
                <lb/>
              fluidi M. </s>
            </p>
            <p type="margin">
              <s id="s.002162">
                <margin.target id="marg550"/>
              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.002163">Ponatur poſtea DL æqualis CE, habebit ED ad
                <lb/>
              duas æquales eamdem proportionem, & componen­
                <lb/>
              do DC ad CE erit vt EL ad LD, & ideò vt craſſities R,
                <lb/>
              ad S, ita erit velocitas corporis A in M ad
                <expan abbr="velocitatẽ">velocitatem</expan>
                <lb/>
              eiuſdem in fluido N. </s>
            </p>
            <p type="main">
              <s id="s.002164">
                <expan abbr="Tandẽ">Tandem</expan>
              ponatur DL maior, quam CE, ſequitur quod
                <lb/>
              DC ad CE maiorem proportionem habet quam EL
                <lb/>
              ad LD, & ideò velocitas ipſius A in M ad eam, quam
                <lb/>
              habet in N maiorem proportionem habebit, quàm
                <lb/>
              R ad S, ſcilicèt, quàm craſſities fluidi N ad
                <expan abbr="craſſitiẽ">craſſitiem</expan>
                <lb/>
              fluidi M. </s>
            </p>
            <p type="main">
              <s id="s.002165">
                <emph type="center"/>
                <emph type="italics"/>
              COROLLARIVM.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002166">HInc ſequitur verum non eſſe quòd velocitates
                <lb/>
              eiuſdem corporis grauis in duobus medijs flui­
                <lb/>
              dis ſemper reciprocè proportionales ſint reſiſtentijs
                <lb/>
              eorumdem fluidorum. </s>
            </p>
            <p type="main">
              <s id="s.002167">Si enim ex. </s>
              <s id="s.002168">gr. ſupponamus globum aureum de­
                <lb/>
                <arrow.to.target n="marg551"/>
                <lb/>
              ſcendere in ſpatio inani ablatis omnibus
                <expan abbr="impedimẽ-tismedij">impedimen­
                  <lb/>
                tis medij</expan>
              abſoluta, & inalterata eius velocitate natu­
                <lb/>
              rali, vt nimirum tempore vnius minuti ſeeundi hora-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum