Definitions

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  • noun Plural form of epicycloid.

Etymologies

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Examples

  • Thereupon followed the epicycloids, curves which -- as the cycloid is generated by a point upon the circumference of a circle rolled along a straight line -- are generated by a similar point when the path of the circle becomes any curve whatever.

    The Atlantic Monthly, Volume 03, No. 20, June, 1859 Various

  • This circle ought strictly to roll upon the true elliptical curve; and assuming, as usual, the tracing-point upon the circumference, the generated curves would vary slightly from true epicycloids, and no two of those used in the same quadrant of the ellipse would be exactly alike.

    Mechanical Drawing Self-Taught Joshua Rose

  • The convenience of the constructions given in Figure 252 is nowhere more apparent than in the drawing of the epicycloids, when, as in the case in hand the base and generating circles may be of incommensurable diameters; for which reason we have, in Figure 254, shown its application in connection with the most rapid and accurate mode yet known of describing those curves.

    Mechanical Drawing Self-Taught Joshua Rose

  • “caustic curves” — which are epicycloids, as is now well known.

    OPTICS AND VISION VASCO RONCHI 1968

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