epicycloid

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“
Take in succession as radii the chords A 1, A 2, A 3, etc., of the describing circle, and with centres 1, 2, 3, etc., on the base circle, strike arcs either externally or internally, as shown respectively on the right and left; the curve tangent to the external arcs is the epicycloid, that tangent to the internal ones the hypocycloid, forming the face and flank of a tooth for the base circle.

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Definitions (9)

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  1. noun The curve described by a point on the circumference of a circle as the circle rolls on the outside of the circumference of a second, fixed circle.

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Etymologies (1)

Toggle Century etymologies Century Dictionary (1)

  1. from Greek ἐπί, upon, + κύκλος, a circle, + εἰ̄δος, form. Cf. epicycle and cycloid.
 

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/ɛpɪˈsaɪklɔɪd/
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