[ep-uh-sahy-kloid] /ˌɛp əˈsaɪ klɔɪd/
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 ].
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)
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.
noun 1. one of the gears of an epicyclic train.
- Epicycloidal wheel
noun 1. one of the planetary gears of an epicyclic train
epicystitis ep·i·cys·ti·tis (ěp’ĭ-sĭ-stī’tĭs) n. Inflammation of the tissue surrounding the bladder.
epicystotomy ep·i·cys·tot·o·my (ěp’ĭ-sĭ-stŏt’ə-mē) n. See suprapubic cystotomy.