Ceva, Giovanni, Geometria motus, 1692

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            <pb pagenum="17" xlink:href="022/01/023.jpg"/>
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              <s id="s.000197">Imagines velocitatum ſimilium motuum ſint BCDE,
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              GMKI, & iuxta eas percurrantur ſpatia A, F. </s>
              <s id="s.000198">Dico iſta com­
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              poni ex rationibus temporum BE ad GI, & ex ea veloci­
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              tatem extremarum ED ad IK. </s>
              <s id="s.000199">Fiat vt BE ad GI, ita BC
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              ad GH, intelligatur que GHLI figura ſimilis ipſi BDE. Quo­
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                <arrow.to.target n="marg41"/>
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              niam ſpatium A ad F, hoc eſt imago BCDE ad imaginem
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              GMKI componitur ex ratione imaginis BCDE ad figu­
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              ram ſibi ſimilem GHLI, & ex ratione huius ad imaginem
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              GMKI: prior ratio eſt duplicata homologorum laterum̨
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              BE ad GI, ſeu eſt compoſita ex BE ad GI, & ex huic ſimi­
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              li ratione ED ad IL, & ratio altera, imaginis ſcilicet GHLI
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              ad imaginem GMKI eſt, vt LI ad IK; ergo ex æquali ima­
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              go BCDE ad imaginem GMKI, hoc eſt ſpatium A ad ſpa­
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              tium F, componetur ex ratione temporum BE ad GI, & ex
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              rationibus ED ad LI, & IL ad IK, ſcilicet nectetur ex ra­
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              tione BE ad GI, & ED ad IK, quæ poſtrema cum ſit ratio
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              velocitatum extremarum ED ad IK; conſtat, quod propo­
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              ſuimus, ſpatia ſimilium motuum componi ex ratione tem­
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              porum, & ex ratione homologarum velocitatum, hoc eſt
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              extremarum. </s>
            </p>
            <p type="margin">
              <s id="s.000200">
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              Tab.
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              2.
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              Fig.
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              5</s>
            </p>
            <p type="margin">
              <s id="s.000201">
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                <emph type="italics"/>
              Pr.
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              2.
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              huiu.
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              </s>
            </p>
            <p type="main">
              <s id="s.000202">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
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                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000203">
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              Si tempora fuerint æqualia, ſimilium motuum ſpatia
                <expan abbr="erũt">erunt</expan>
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              vt extremæ, vel ſummæ velocitates, & contra, ſi iſtæ æquales
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              ſint, erunt ſpatia vt tempora.
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              </s>
            </p>
            <p type="main">
              <s id="s.000204">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium II.
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                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000205">
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              Cum ſpatia ſimilium motuum nectantur ex ratione tem­
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              porum & ex ea velocitatum ſummarum, ſeu earum, quæ
                <expan abbr="sũt">sunt</expan>
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              ad inſtantia ſimiliter ſumpta in rectis BE, GI, constat ex
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              lem: infra cor.
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              2.
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              pr.
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              3.
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              huius tempora componi ex rationi­
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              bus ſpatiorum ſimilium motuum, & ex recìproca dictarum
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              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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