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epicycloid

 

Definitions from WordNet

Noun epicycloid has 1 sense
  1. epicycloid - a line generated by a point on a circle rolling around another circle
    --1 is a kind of
    roulette, line roulette
    --1 has particulars: cardioid

Definitions from the Web

Epicycloid

Definition:

An epicycloid is a curve traced by a point on the circumference of a smaller circle rolling externally along the circumference of a larger fixed circle.

Sample Sentences:

  1. Mathematics: The epicycloid equation can be expressed as x = (R + r) * cos(theta) - r * cos((R + r) * theta / r), where R is the radius of the larger circle and r is the radius of the smaller circle.
  2. Engineering: The design of gears often incorporates the concept of epicycloids to ensure smooth and efficient rotation.
  3. Art: The beautiful patterns created by epicycloids have inspired many artists to incorporate them into their artwork.

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