Ceva, Giovanni, Geometria motus, 1692

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            <p type="main">
              <s id="s.000549">
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              tus OT, ſiue baſis parabolæ QI. </s>
              <s id="s.000550">Si itaque parabola ipſa
                <lb/>
              putetur eſſe ORI, in qua punctum R eſto vbi mobile adeſt
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              momento K, deducantur verò ab eodem illo puncto RS
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              parallela axi QO, et RP æquidiſtans QI, vel OT, profectò
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              in O, momento F, ſicuti in ſpirali, nulla erit mobili veloci­
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              tas, ſed cum eſt in R momento K habebit geminam veloci­
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              tatem, KL ſecundùm SR, et KN iuxta PR perpendicularem
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              ipſi SR, quæ duæ velocitates itidem component vnicam
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              potentia ſimul illis æqualem, & cum idem dicatur de qui­
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              buſcunque alijs punctis parabolæ, momentis temporis FI
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              reſpondentibus, manifeſtum eſt ſpirali BCA, & parabolæ
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              ORI vnicam, eandemque eſſe imaginem velocitatum, pro­
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              pterquam quòd ipſæ curuæ, quòd ſint vt imagines, erunt
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              interſe æquales.
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              </s>
            </p>
            <p type="margin">
              <s id="s.000551">
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                <emph type="italics"/>
              Cor. </s>
              <s id="s.000552">pr.
                <emph.end type="italics"/>
              4.
                <lb/>
                <emph type="italics"/>
              huius.
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              </s>
            </p>
            <p type="margin">
              <s id="s.000553">
                <margin.target id="marg125"/>
                <emph type="italics"/>
              Pr.
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              primą
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000554">
                <margin.target id="marg126"/>
                <emph type="italics"/>
              Pr.
                <emph.end type="italics"/>
              8.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000555">
                <margin.target id="marg127"/>
                <emph type="italics"/>
              Cor. </s>
              <s id="s.000556">prop.
                <emph.end type="italics"/>
              13.
                <lb/>
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000557">
                <margin.target id="marg128"/>
                <emph type="italics"/>
              Pr.
                <emph.end type="italics"/>
              10.
                <emph type="italics"/>
              primi
                <lb/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000558">
                <margin.target id="marg129"/>
                <emph type="italics"/>
              Pr.
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              primi
                <lb/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000559">
                <margin.target id="marg130"/>
                <emph type="italics"/>
              Pr.
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              2.
                <emph type="italics"/>
              prima.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000560">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000561">
                <emph type="italics"/>
              Exemplo traditarum curuarum, poſſunt innumeræ ſpira­
                <lb/>
              les ſuis parabolis æquales excogitari, nec ideo res minùs de­
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              monſtrabitur, ſi loco rectarum, ſeu laterum OT, OP compoſiti
                <lb/>
              motus, ſubſtituantur circuli, aut circulorum arcus, qui ad re­
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              ctos angulos ſe ſecent, ſcilicet
                <expan abbr="cũ">cum</expan>
              tangentes ad punctum infle­
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              xionis, ſeu occurſus ipſarum curuarum ſibi ipſis perpendicu­la
                <lb/>
              res fuerint. </s>
              <s id="s.000562">Quòd ſi ipſa curua latera ad rectos angulos non
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              ſe ſecent curuæ nihilominus ab ipſo compoſito motu naſcen­
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              tes poterunt exhiberi curuas parabolicas exequantes, quarum
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              itidem latera ſint rectæ eundem angulum, quem prædictæ
                <expan abbr="tã-gentes">tan­
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                gentes</expan>
              , comprehendentes. </s>
              <s id="s.000563">Sed de his ſatis, nunc dicamus ea
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              tempora, quibus duorum pendulorum ſimiles vibrationes ab­
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              ſoluuntur, hoc eſt Galilei ſententiam demonſtrabimus, quam
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              quondam haud ruditer decepti falſam credidimus.
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              </s>
            </p>
            <p type="main">
              <s id="s.000564">
                <emph type="italics"/>
              Vincentius Viuianus eximius noſtri æui Geometra vt tue­
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              retur Galilei ſententiam, cuius digniſſimè ſe fuiſſe diſcipu­
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              lum profitetur, tradidit mihi per admodum Reuerendum, at-
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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