# Epicycloid

[ep-uh-sahy-kloid] /ˌɛp əˈsaɪ klɔɪd/

**noun**, Geometry.

1.

a curve generated by the motion of a point on the circumference of a circle that rolls externally, without slipping, on a fixed circle. Equation: x = (a + b) cos(θ) − b cos[(a + b)θ/ b ] and y = (a + b) sin(θ) − b sin[(a + b)θ/ b ].

/ˌɛpɪˈsaɪklɔɪd/

**noun**

1.

the curve described by a point on the circumference of a circle as this circle rolls around the outside of another fixed circle, the two circles being coplanar Compare hypocycloid, cycloid (sense 4)

epicycloid

(ěp’ĭ-sī’kloid’)

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.

Tagged: e

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