hypocycloid

hypocycloidIf a is the radius of a fixed circle and b is the radius of a smaller rotating circle, the parametric equations of the hypocycloid are x = (a - b) cos θ + b cos ^{[(a - b) θ ]}/_b y = (a - b) sin θ - b sin [( ^{a - b) θ ]}/_b.

hy·po·cy·cloid

H0365600 (hī′pō-sī′kloid′)n. The plane locus of a point fixed on a circle that rolls on the inside circumference of a fixed circle.

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, cycloid⁴ ˌhypocyˈcloidal adj

hy•po•cy•cloid

(ˌhaɪ pəˈsaɪ klɔɪd)

n. a curve generated by the motion of a point on the circumference of a circle that rolls internally, without slipping, on a fixed circle. [1835–45] hy`po•cy•cloi′dal, adj.

Thesaurus

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