Ceva, Giovanni, Geometria motus, 1692

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            <pb pagenum="41" xlink:href="022/01/047.jpg"/>
            <p type="main">
              <s id="s.000420">
                <emph type="center"/>
              PROP. VI. THEOR. IV.
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              </s>
            </p>
            <p type="main">
              <s id="s.000421">VT eadem recta ex fluxu puncti renouetur, opportet in
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              quocunque illius puncto ſeruari priſtinas directio
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              nes, </s>
            </p>
            <p type="main">
              <s id="s.000422">Cum, vti diximus, ad deſcriptionem lineæ duo tantùm
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                <arrow.to.target n="marg92"/>
                <lb/>
              exigantur, nempe motus, & puncti directio; motus verò po­
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              teſt eſſe quilibet, ſequitur ergo directionem, alteram de
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              duobus, ſeruari debere. </s>
            </p>
            <p type="margin">
              <s id="s.000423">
                <margin.target id="marg92"/>
                <emph type="italics"/>
              Ax.
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              2.
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              buius.
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              </s>
              <s id="s.000424">pr.
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              5.
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              huius.
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              </s>
            </p>
            <p type="main">
              <s id="s.000425">
                <emph type="center"/>
              DEF. II.
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              </s>
            </p>
            <p type="main">
              <s id="s.000426">LIneam dicimus curuam, in qua ſumptis duobus ad­
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              libitum punctis, recta, quæ ipſa puncta coniunge­
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              ret, nullam cum propoſita linea partem ſit habitura com­
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              munem. </s>
            </p>
            <p type="main">
              <s id="s.000427">
                <emph type="center"/>
              PROP. VII. THEOR. V.
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              </s>
            </p>
            <p type="main">
              <s id="s.000428">DIrectiones puncti deſcribentis lineam, iuxta rectas
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              lineas concipi debent. </s>
            </p>
            <p type="main">
              <s id="s.000429">Dum punctum fluere intelligimus, ineſt in eo ſingulis
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              momentis certus, ac præfixus gradus velocitatis, quo tan­
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              tùm attento, rectà,
                <expan abbr="æquabiliq;">æquabilique</expan>
              motu in certam partem con­
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              tenderet; at huiuſmodi iter, aliud non eſt, quàm directio
                <lb/>
              puncti, qua eius temporis momento proficiſcitur; ergo iux­
                <lb/>
              ta rectas lineas, directiones omnes conſiderari opportet. </s>
            </p>
            <p type="main">
              <s id="s.000430">
                <emph type="center"/>
              PROP. VIII. THEOR. VI.
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              </s>
            </p>
            <p type="main">
              <s id="s.000431">TAngens, & directio motus in quouis curuæ puncto
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              eſt vna,
                <expan abbr="atq;">atque</expan>
              eadem recta. </s>
            </p>
            <p type="main">
              <s id="s.000432">Nam in deſcriptione
                <expan abbr="cuiuſcunq;">cuiuſcunque</expan>
              rectæ procedit pun­
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                <arrow.to.target n="marg93"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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