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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002262">
                <pb pagenum="436" xlink:href="010/01/444.jpg"/>
                <arrow.to.target n="marg582"/>
                <lb/>
              ſupra nihilum, ſeù ſupra vacuum eminet, eodem modo,
                <lb/>
              ac id, quod linea palmaris nihilum ſuperat, vel ſupra
                <lb/>
              id eminet, nil aliud planè eſt, quàm entitas finitą
                <lb/>
              eiuſdem lineæ palmaris. </s>
            </p>
            <p type="margin">
              <s id="s.002263">
                <margin.target id="marg582"/>
              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.002264">
                <emph type="center"/>
              PROP. CCV.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002265">
                <emph type="center"/>
                <emph type="italics"/>
              Hoc poſito ostendemus velocitatem cuiuslibet corporis gra­
                <lb/>
              uis in vacuo eſſe finitam, & in tempore abſolui.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002266">SI enim fieri poteſt mobile A in vacuo infinitą
                <lb/>
              velocitate BC moueatur, & quia
                <expan abbr="">non</expan>
              alia de cau­
                <lb/>
              ſa in aere corpus A tardiùs mouetur,
                <lb/>
                <figure id="id.010.01.444.1.jpg" xlink:href="010/01/444/1.jpg"/>
                <lb/>
              niſi quia aer pro menſura eius denſi­
                <lb/>
              tatis impedit, & retardat eam velo­
                <lb/>
              citatem, quam aptum natum eſt exer­
                <lb/>
              cere
                <expan abbr="idẽ">idem</expan>
              corpus A, remotis omnibus
                <lb/>
              impedimentis; eſtque aeris denſitas
                <lb/>
              finita, ideoque reſiſtentia, & retar­
                <lb/>
              datio erit quid finitum; ſit illa BE,
                <lb/>
              ergo ab abſoluta, & totali velocita­
                <lb/>
              te BC ablata retardatione BE rema­
                <lb/>
              nebit velocitas EC, qua per
                <expan abbr="aerẽ">aerem</expan>
              mouebitur corpus
                <lb/>
              prædictum; ſed ab infinita velocitate BC ablata fini­
                <lb/>
              ta velocitate retardationis BE, remanebit adhùc infi­
                <lb/>
              nita velocitas EC, quare corpus A in aere mouebitur
                <lb/>
              infinita velocitate EC, quod eſt abſurdum, conſtat
                <lb/>
              enim per aerem velocitate finita, & temporanea mo­
                <lb/>
              ueri: qua propter in vacuo non mouebitur infinitą,
                <lb/>
              ſeù inſtantanea velocitate, quod fuerat
                <expan abbr="oſtendendũ">oſtendendum</expan>
              . </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>