Ceva, Giovanni, Geometria motus, 1692

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            <p type="main">
              <s id="s.000716">
                <pb pagenum="72" xlink:href="022/01/078.jpg"/>
              tur imagines velocitatum
                <expan abbr="ſimpliciũ">ſimplicium</expan>
              motuum, ſcilicet GHI
                <lb/>
              iuxta geneſim BAC, et MKL iuxta
                <expan abbr="alterã">alteram</expan>
              geneſim DEF, &
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              quia, vtpotè homogeneę, ſunt inter ſe vt ſpatia ęqualia AC
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              ad EF,
                <expan abbr="erũt">erunt</expan>
              ipſæ imagines ęquales inter ſe,
                <expan abbr="cũ">cum</expan>
              verò ob ſimili
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                <expan abbr="tudinẽ">tudinem</expan>
              motuum eæ ipſæ imagines nectantur ex rationibus
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              GI ad ML, & ex ea, quam habet HI ad KL, ſequitur eſſe
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              GI ad ML, vt KL ad IH, & demum quia acceleratorum
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              motuum ſpatia à ſimplicibus imaginibus GHI, MKL ne­
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              ctuntur ex duplicata temporum HI ad KL, & ex ea ampli­
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                <arrow.to.target n="marg169"/>
                <lb/>
              tudinum GI ad ML, ſiue ex ea, quam habet KL ad HI, re­
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              linquitur, ſpatia acceleratis illis motibus confecta eſſe in
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              ſola,
                <expan abbr="vnicaq;">vnicaque</expan>
              ratione temporum HI ad KL, vel in ei ęqua­
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              li ratione, reciproca amplitudinum imaginum ML ad GI,
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              vel geneſum DF ad BC. </s>
              <s id="s.000717">Quod &c, </s>
            </p>
            <p type="margin">
              <s id="s.000718">
                <margin.target id="marg168"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              7.
                <emph type="italics"/>
              fig.
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              8.</s>
            </p>
            <p type="margin">
              <s id="s.000719">
                <margin.target id="marg169"/>
              27.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000720">
                <emph type="center"/>
              PROP. XXX. THEOR. XXIV.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000721">QVæcunque fuerint geneſes ſimilium, ſimpliciumque
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              motuum, dum interſe homogeneæ, ſpatia accelera­
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              tis motibus ex illis ſimplicibus exacta nectentur
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              ex duplicata ratione altitudinum, & reciproca amplitudi­
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              num earundem ſimplicium geneſum, </s>
            </p>
            <p type="main">
              <s id="s.000722">Sint quæcunque ſimilium motuum geneſes BAC, KFG.
                <lb/>
                <arrow.to.target n="marg170"/>
                <lb/>
              Dico, ſpatia acceleratorum motuum, ab ijs ſimplicibus de­
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              riuantium, componi ex duplicata ratione altitudinum AC
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              ad FG, & ex ratione extremarum velocitatum, ſeu ampli­
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              tudinum reciprocè ſumptarum ipſarum geneſum: eſto alia
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              geneſis DFG illis homogenea, & motu pariter ſimilis cum
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              ijſdem geneſibus. </s>
              <s id="s.000723">Eadem ſit amplitudine æqualis BAC,
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              & altitudo eius ſit FG, ſpatia acceleratorum motuum ex
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                <lb/>
              ſimplicibus geneſibus æquales amplitudines habentibus,
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              & ſimilium motuum BAC, DFG ſunt in duplicata ratione
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              rectarum, ſeu altitudinum AC ad FG, & ſpatia accelera­
                <lb/>
                <arrow.to.target n="marg172"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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