Ceva, Giovanni, Geometria motus, 1692

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              Scholium.
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              Cum prorsùs geometricè oſtenderimus ſuperiores duas pro­
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              poſitiones, vtiliſſimum eſt obſeruare, quomodo liceat vti tem­
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              poris inſtantibus, non vt punctis prorsùs geometricis, ſed vt
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              quantitatibus dicam minoribus quibuſcunque datis. </s>
              <s id="s.000140">Hinc
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              oritur indiuiſibilium methodus, quæ intelligentiam affert
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              faciliorem, ac ſi rigori geometrico penitus inſiſteremus, quam­
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              quam eæ tamen difficiliores Geometras mihi magis decerę
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              videantur.
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              PROP. III. THEOR. III.
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              Tab.
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              2,
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              Fig.
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              1.</s>
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              <s id="s.000143">SPatia, quæ curruntur iuxta quaslibet homogeneas ve­
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              locitatum imagines, nectuntur ex rationibus tempo­
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              rum, ac æquatricum. </s>
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              <s id="s.000144">Velocitates æquatrices duorum motuum, quorum ima­
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              gines velocitatum ſint ABCD, EFHI ponantur AG, EL.
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              </s>
              <s id="s.000145">Dico ſpatia, ſeu ipſas imagines componi ex ratione tem­
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              porum AD ad EI; & ex ea æquatricum AE ad EL. </s>
              <s id="s.000146">Nam
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              ſi motus, qui eſt iuxta imaginem ABCD perſeueret velo­
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              citate AG, eſſet quidem æquabilis, idemque ſpatium illa </s>
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              velocitate, & tempore AD percurreretur, ac ſecundùm̨
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              imaginem ABCD; Itaque exiſtente rectangulo DE, quod
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              eſset imago velocitatum illius motus æquabilis, foret idem
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              æquale imagini ABCD (nam imagines ABCD, & DG
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              homogeneæ ſunt) eodem modo imago rectangulum VL
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              æquale eſset imagini EFHI. </s>
              <s id="s.000148">Cum ergo duæ imagines re­
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              ctangula DE, IL componantur ex rationibus temporum
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              AD ad EI, & ex ea æquatricum AG ad EL; ex ijſdem̨
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              prorsùs rationibus etiam imagines propoſitæ prædictis re­
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              ctangulis æquales nectentur. </s>
              <s id="s.000149">Et ideo ſpatia, quæ propo­
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              ſitis imaginibus tranſiguntur, quæque ipſis proportionalia </s>
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