Ceva, Giovanni
,
Geometria motus
,
1692
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ſunt, componentur ex rationibus temporum, & ex rationi
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bus æquatricum. </
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Def.
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6.
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Ax.
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1.</
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Cor.
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3.
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Def.
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3.
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huius.
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Pr.
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2.
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huius.
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Corollarium I.
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Hinc patet ſi lineæ, quæ in imagine velocitatum tempus
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exhibet, aplicetur rectangulum æquale propoſitæ imagini ve
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locitatum, fore vt latitudo eiuſdem rectanguli, ſit velocitas
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æquatrix propoſitæ imaginis.
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Corollarium II.
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Item constat, vbi tempora, vel æquatrices velocitates fue
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rint æquales, rationem ſpatiorum eſſe eandem, quæ æquatri
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cum, vel quæ temporum.
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LEMMA.
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Si quælibet ratio compoſita ſit ex quotcumque rationibus,
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harum quælibet nectetur ex propoſita, & ex reliquis contra
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riò ſumptis rationibus. </
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æd F; G ad H; & I ad K. </
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K conſtare ex rationibus A ad B, & ex reliquis reciprocè ſum
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ptis F ad E, & I ad K. </
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ſic I ad K; erit C ad D, vt G ad H;
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C ad D, hoc eſt G ad
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H nectetur ex C ad A, ſeu F ad G, & ex rationibus A ad B,
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B ad D, ſiue K ad I. </
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<
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