hy·po·cy·cloid (h  p -s kloid)n. The plane locus of a point fixed on a circle that rolls on the inside circumference of a fixed circle. |   If a equals the radius of a fixed circle and b equals the radius of a smaller rotating circle, the parametric equations of the hypocycloid are: x = (a - b) cos  + b cos [(a - b)]/b y=(a - b) sin - b sin[( a - b)]/b |
hypocycloid [ˌhaɪpəˈsaɪklɔɪd]
n
(Mathematics) a curve described by a point on the circumference of a circle as the circle rolls around the inside of a fixed coplanar circle Compare epicycloid, cycloid [4]
hypocycloidal adj
| hypocycloid (hp-skloid) The curve described by a point on the circumference of a circle as the circle rolls on the inside of the circumference of a second, fixed circle. |  a = radius of fixed circle; b = radius of rotating circle |
ThesaurusLegend: Synonyms Related Words Antonyms
| Noun | 1. |  hypocycloid - a line generated by a point on a circle that rolls around inside another circleline roulette, roulette - a line generated by a point on one figure rolling around a second figure |
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