Ceva, Giovanni, Geometria motus, 1692

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          <chap>
            <p type="main">
              <s id="s.000128">
                <pb pagenum="11" xlink:href="022/01/017.jpg"/>
              bit minorem rationem, quàm omnes illæ ſimul imagines,
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                <arrow.to.target n="marg27"/>
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              ſeu quam circumſcripta figura AE, HF, IG, KC ad ean­
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              dem imaginem HPGN; quare Y, quæ priùs oſtenſa fuit
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              maior, nunc reperitur minor eadem circumſcripta, quod
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              cum fieri nequeat, impoſſibile etiam eſt magnitudinem Y
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              maiorem eſſe magnitudine imaginis ABCD. </s>
              <s id="s.000129">Sit ergo mi­
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              nor, ſi etiam fieri poteſt, & defectus ipſius Y ſupra ABCD
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              ſit Z. </s>
              <s id="s.000130">Inſcribatur imagini figura ex rectangulis æquealtis, vt
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              nempe deficiat ab imagine defectu minori Z; ſic enim ipſa
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              inſcripta, quæ ſit AB, IE, KF, DG erit magnitudine pro­
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              pinquior imagini ABCD, quàm Y, ideoque Y minor erit
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              dicta inſcripta figura. </s>
              <s id="s.000131">Deinde, quoniam, ſi ponantur mo­
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              tus æquabiles, quorum imagines rect angula inſcripta HB,
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              IE, KF, DG, quæque inter ſe, & propoſitis imaginibus ſint
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              homogeneæ; velocitates, quibus efficerentur dicti motus,
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              eſſent AB, IE, KF, DG, minimæ ſcilicet imaginum ABEH
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              HEFI, IFGK. KGCD, & ideo ſpatia, quæ percurrerentur
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              temporibus HA, HI, IK, KD imaginibus illis, maiora eſ­
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                <arrow.to.target n="marg28"/>
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              ſent, quàm quæ ijſdem temporibus tranſigerentur iuxtą
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              imagines prædictas rectangula circumſcripta, hinc fit vt
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              ſpatium AB ad DE, ſeu magnitudo Y ad imagine HPGN
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              habeat maiorem rationem, quàm inſcripta figura ad ean­
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              dem imaginem HPGN; quare Y, quæ minor erat inſcripta
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              figura, modò reſultat maior, non ergo Y minor eſſe poteſt
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              imagine ABCD, ſed neque maior vt oſtendimus, ergo ſpa­
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              tium AB ad DE erit, vt imago ABCD ad imaginem
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              PHNG. </s>
              <s id="s.000132">Quod &c. </s>
            </p>
            <p type="margin">
              <s id="s.000133">
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                <emph type="italics"/>
              Ax.
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              2.
                <emph type="italics"/>
              huius.
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              </s>
            </p>
            <p type="margin">
              <s id="s.000134">
                <margin.target id="marg27"/>
                <emph type="italics"/>
              Cor. </s>
              <s id="s.000135">pr.
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              1.
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              hu­
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              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000136">
                <margin.target id="marg28"/>
                <emph type="italics"/>
              Ex.
                <emph.end type="italics"/>
              2
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000137">3. & 4. Si verò imagines acuminatæ ſint, aut demum
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              quæ cumque, eodem prorsùs modo, quo prima propoſitio­
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              ne, oſtendemus hoc etiam propoſitum, ergo patet omne
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              intentum. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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