Ceva, Giovanni, Geometria motus, 1692

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              Tab.
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              7.
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              fig.
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              5.</s>
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              Def.
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              7.
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              primi
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              huius.
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              23.
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              huius.
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              PROP. XXVII. THEOR. XXI.
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              Tab.
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              7.
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              fig.
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              6.</s>
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              <s id="s.000695">DEmùm ſi ſint imagines, quæcunque velocitatum ſim­
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              plicium, ſimiliumque motuum, imagines accelera­
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              torum motuum, ſeu ſpatia ijs motibus exacta componen­
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              tur ex duplicata temporum ratione, & ex ea amplitudi­
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              num, vel applicatarum homologarum earundem imagi­
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              num. </s>
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              <s id="s.000696">Imagines ſimilium, ſimpliciumque motuum ſint BAC,
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              KFG. Dico, imagines acceleratorum motuum ab illis ſim­
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              plicibus deriuantium habere rationem compoſitam ex du­
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              plicata temporum AC ad FG, & amplitudinum imaginum
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              dictarum, vel geneſum. </s>
              <s id="s.000697">Intelligatur alius ſimilis motus,
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              cuius velocitatum imago ſit DFG æquèampla, ac homo­
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              genea ipſi BCA; nimirum ſit DG æqualis BC. </s>
              <s id="s.000698">Quoniam
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              imago accelerati motus ex ſimplici imagine BA ad imagi­
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              nem accelerati ex ſimplici imagine KFG componitur ex
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              ratione imaginis accelerati motus, cuius ſimplex imago
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              BAC ad imaginem accelerati motus ex ſimplici DFG, &
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              ex imagine huius accelerati motus ad accelerati imaginem
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              à ſimplici KFG; eſt autem prior ratio imaginum, ſeu ſpa­
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              tiorum acceleratis motibus percurſorum ipſa temporum </s>
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              duplicata AC ad FG, & altera dictarum imaginum, ſeu
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              ſpatiorum item acceleratis motibus confectorum, & quo­
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              rum ſimplices imagines ſunt DFG, KFG, eſt eadem, ac ra­
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              tio amplitudinum DG, ſeu BC ad KG. </s>
              <s id="s.000700">Ergo cum iſtæ
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              amplitudines ſint eædem, ac illæ geneſum, conſtat propo­
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              ſitam rationem acceleratorum motuum ex ſimplicibus
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              imaginibus BAC, KFG habere rationem compoſitam ex
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              duplicata temporum AC ad FG, & ex ea amplitudinum
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              imaginum ſimplicium BC ad KG, ſeu amplitudinum gene­
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              ſum. </s>
              <s id="s.000701">Quod &c. </s>
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