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Webster 1913 Edition


Epicycloid

Epˊi-cy′cloid

,
Noun.
[
Epicycle
+
-oid
: cf. F.
épicycloïde
.]
(Geom.)
A curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle.
☞ Any point rigidly connected with the rolling circle, but not in its circumference, traces a curve called an epitrochoid. The curve traced by a point in the circumference of the rolling circle when it rolls on the concave side of a fixed circle is called a hypocycloid; the curve traced by a point rigidly connected with the rolling circle in this case, but not its circumference, is called a hypotrochoid. All the curves mentioned above belong to the class class called
roulettes
or
trochoids
. See
Trochoid
.

Webster 1828 Edition


Epicycloid

EPICYC'LOID

,
Noun.
[Gr. form.] In geometry, a curve generated by the revolution of the periphery of a circle along the convex or concave side of the periphery of another circle.
A curve generated by any point in the plane of a movable circle which rolls on the inside or outside of the circumference of a fixed circle.

Definition 2024


epicycloid

epicycloid

English

Noun

epicycloid (plural epicycloids)

  1. (geometry) The locus of a point on the circumference of a circle that rolls without slipping on the circumference of another circle.

Translations

See also