Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="044/01/021.jpg" pagenum="13"/>
              ſpatia hanc celeritatis proportionem ſeruant, vt
                <expan abbr="quę">quæ</expan>
                <lb/>
              eſt ratio totius ſpatij, per quod fit ille motus ad par­
                <lb/>
              tem ipſius (vtriuſque initio inde ſumpto, vbi eſt mo
                <lb/>
              tus initium) eadem ſit celeritatis ad celeritatem.
                <lb/>
                <figure id="id.044.01.021.1.jpg" xlink:href="044/01/021/1.jpg" number="1"/>
                <lb/>
              Exempli gratia, ſi vis aliqua per lineam ABC
                <lb/>
              mouerit, ſitque AB illius lineæ pars, quæ erit
                <lb/>
              ratio AC ad AB, eadem erit celeritatis motus
                <lb/>
              in puncto C ad
                <expan abbr="celeritatẽ">celeritatem</expan>
              motus in puncto B.
                <lb/>
              </s>
              <s>Cuiuſmodi proportio obſeruatur in paralle­
                <lb/>
              lis triangulum ſecantibus. </s>
              <s>Vt enim ſe habet
                <lb/>
                <figure id="id.044.01.021.2.jpg" xlink:href="044/01/021/2.jpg" number="2"/>
                <lb/>
              AC ad AB, ſic CG ad BF, & vt AD ad
                <lb/>
              AC, ſic DH ad CG. </s>
              <s>Itaque ſi in ſpatia ali­
                <lb/>
              quot æqualia diuidatur totius motus ſpa
                <lb/>
              tium, finis ſecundi duplo citiùs feretur,
                <lb/>
              quàm finis primi: finis verò tertijtriplo
                <lb/>
              citiùs quàm finis primi, & ſic deinceps.
                <lb/>
              </s>
              <s>Hac autem ratione fit, vt ſpatiorum illo­
                <lb/>
              rum initio maxima ſit celeritatis
                <expan abbr="differẽ-tia">differen­
                  <lb/>
                tia</expan>
              : progreſſu verò ſemper minuatur, ac tandem fer­
                <lb/>
              mè eadem ſit, vt fit in trianguli lateribus, quæ lon­
                <lb/>
              giſſimè producta æquè diſtare videntur. </s>
              <s>Eáque eſt
                <lb/>
              ratio cur Solis & Lunæ radij, etiamſi concurrant (in
                <lb/>
              ipſorum ſcilicet corporibus, aut vltra res quas
                <expan abbr="illu-ſtrãt">illu­
                  <lb/>
                ſtrant</expan>
              ) paralleli
                <expan abbr="tamẽ">tamen</expan>
                <expan abbr="appareãt">appareant</expan>
              . </s>
              <s>
                <expan abbr="Eadẽ">Eadem</expan>
                <expan abbr="etiã">etiam</expan>
              cauſa eſt cur
                <lb/>
              lineę omnes ad
                <expan abbr="perpẽdiculũ">perpendiculum</expan>
              in
                <expan abbr="terrã">terram</expan>
              cadentes, paral­
                <lb/>
              lelæ videantur, cùm
                <expan abbr="tamẽ">tamen</expan>
              in centro terræ
                <expan abbr="cõcurrant">concurrant</expan>
              . </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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