Ceva, Giovanni, Geometria motus, 1692

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              <s id="s.000261">
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              cubum DC. </s>
              <s id="s.000262">Patet ſi proponeretur illi auuerſa figurą
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              FGK, eſſetque AE ad DE vt figura GFK ad figuram IHK
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              eſſe etiam FG ad IH vt DC ad AB, eſt autem cubus ex
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              DC ad cubum ex AB vt AE ad ED; ergo etiam figurą
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              FGK ad IHK (ſunt enim FG, IH parallelę) habebit ean­
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              dem rationem, ac cubus ex FG ad cubum ex IH: Itaquę
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              GFK erit comunis parabola, hoc eſt quadratica, ſeu
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                </expan>
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              da in ſerie infinitarum parabolarum, & ob id eadem GFK
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              parabola ad rectangulum GF in FK erit vt 2 ad 3, in qua
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              ratione ſe habebit quoque rectangulum BA in AE ad ſpa­
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              tium infinitè longum & BM, et erit vt 2 ad 1; ſcilicet vt ex­
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              ceſſus exponentis maioris poteſtatis, quæ cubica eſt, ſuper
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              numerum exponentis, qui hoc caſu eſt tantùm vnitas ra­
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              dicis, eſt ad hunc ipſum exponentem, ſeu vnitatem lineæ
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              indicantem, quod concordat cum propoſita dictorum̨
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              authorum. </s>
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              Tab.
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              3.
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              Fig.
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              3.</s>
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              Tab.
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              3.
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              fig
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              2.</s>
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            <p type="margin">
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              Def.
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              8.
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              huius.
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              </s>
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            <p type="margin">
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              Pr.
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              10.
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              huius.
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              </s>
            </p>
            <p type="margin">
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                <emph type="italics"/>
              Pr.
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              9.
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              huius.
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              </s>
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              Exemplum aliud.
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              In eadem fi­
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              guræ.
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              </s>
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              <s id="s.000270">SIt etiam cubus ex DE ad cubum ex AE, ſicut quadra­
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              to quadratum AB ad quadroquadratum DC, & rur­
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              ſus propoſita GKF auerſa huius hyperbolæ: patet ſi ſit AE
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              ad DE vt figura GFK ad figuram IKH, eſſe etiam FG ad </s>
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              <s id="s.000271">
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              IH vt DC ad AB; cumque ſit cubus ex AE ad cubum ex
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              DE ſicut quadroquadratum ex DC ad
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              ex AB, erit etiam quadroquadratum ex FG ad quadro­
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              quadratum ex IH, vt cubus ex AE ad cubum ex DE; ſi
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              igitur intelligatur quædam ratio, quæ ſit ſubduodecupla
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              tam rationis quadroquadratorum quàm huic ſimilis cu­
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              borum prædictorum, erit porrò FG ad IH triplicata, &
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              AE ad ED quadruplicata eiuſdem dictæ ſubduodecuplæ;
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              quamobrem etiam ratio figuræ GFK ad
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              IHK, quæ
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              eſſe debet vt AE ad ED, erit quadruplicata eiuſdem ſub­
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              duodecuplæ: & ideò ſi ponamus IK ad KI in ratione </s>
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