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

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002168">
                <pb pagenum="423" xlink:href="010/01/431.jpg"/>
                <arrow.to.target n="marg552"/>
                <lb/>
              rij percurrat altitudinem 100. cubitorum, tunc ſi iņ
                <lb/>
              aqua v. g. eodem tempore deſcendendo pertranſeat
                <lb/>
              ſpatium nonaginta
                <expan abbr="cubitorũ">cubitorum</expan>
              , in hydrargyro verò 30.
                <lb/>
              cubitos vt nimirùm velocitas eius in aqua, tripla ſit
                <lb/>
              velocitatis quàm in hydrargyro exercet, tunc calcu­
                <lb/>
              lus oſtendit craſſitiem hydrargyri non triplam, ſed
                <lb/>
              ſeptuplam eſſe craſſitiei ipſius aquæ. </s>
            </p>
            <p type="margin">
              <s id="s.002169">
                <margin.target id="marg551"/>
              Exemplis id
                <lb/>
              ipſum com­
                <lb/>
              probatur.</s>
            </p>
            <p type="margin">
              <s id="s.002170">
                <margin.target id="marg552"/>
              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.002171">Sumptis poſtea alijs duobus medijs fluidis magis
                <lb/>
              differentibus vt nimirùm in rariori percurrat eodem
                <lb/>
              tempore 80. cubitos in denſiori verò 20. tunc præci­
                <lb/>
              sè eamdem quadruplam proportionem habebunt
                <expan abbr="dẽ-ſitates">den­
                  <lb/>
                ſitates</expan>
              fluidorum, quam habent velocitates. </s>
              <s id="s.002172">Poſtre­
                <lb/>
              mò in alijs fluidis minùs differentibus ſi velocitates
                <lb/>
              habuerint proportionem duplam, eorum reſiſtentiæ
                <lb/>
              triplam proportionem habebunt. </s>
              <s id="s.002173">Vndè euidentèr
                <lb/>
              euincitur, falſam eſſe Ariſtotelicam ſuppoſitionem, &
                <lb/>
              proindè non ſequitur velocitatem cuiuslibet corpo­
                <lb/>
              ris grauis in ſpatio inani eſſe inſtantaneam. </s>
              <s id="s.002174">Et profe­
                <lb/>
              ctò ſi motus naturam perpendamus, quæ ſine tranſitu
                <lb/>
              locali ſucceſſiuo percipi non poteſt, planè percipi­
                <lb/>
              mus non poſſe corpus
                <expan abbr="finitũ">finitum</expan>
              in inſtanti ab vno ad
                <expan abbr="aliũ">alium</expan>
                <lb/>
              locum migrare, eſſet enim ſimùl in termino, à quo, &
                <lb/>
              ad quem, ſui motus, & ſic occuparet ſpatium maius
                <lb/>
              ſe ipſo, & præterea tolleretur omninò conceptus ſuc­
                <lb/>
              ceſſiuæ migrationis ab vno ad alium locum, vnde
                <expan abbr="cõ-cludendum">con­
                  <lb/>
                cludendum</expan>
              eſt, quodlibet corpus finitum à finita vir­
                <lb/>
              tute motiua impulſum, licèt omninò remoueantur me­
                <lb/>
              dij fluidi impedimenta, oportere, vt ſpatium
                <expan abbr="quantũ">quantum</expan>
                <lb/>
              in tempore aliquo determinato percurrat. </s>
              <s id="s.002175">Sed hoc </s>
            </p>
          </chap>
        </body>
      </text>
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