Definition of Hypocycloid. Meaning of Hypocycloid. Synonyms of Hypocycloid

Here you will find one or more explanations in English for the word Hypocycloid. Also in the bottom left of the page several parts of wikipedia pages related to the word Hypocycloid and, of course, Hypocycloid synonyms and on the right images related to the word Hypocycloid.

Definition of Hypocycloid

Hypocycloid
Hypocycloid Hy`po*cy"cloid, n. [Pref. hypo- + cycloid: cf. F. hypocyclo["i]de.] (Geom.) A curve traced by a point in the circumference of a circle which rolls on the concave side in the fixed circle. Cf. Epicycloid, and Trochoid.

Meaning of Hypocycloid from wikipedia

- In geometry, a hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. As the...
- In mathematics, an astroid is a particular type of roulette curve: a hypocycloid with four cusps. Specifically, it is the locus of a point on a circle...
- friction and wear). Their gear tooth profile is based on the epicycloid and hypocycloid curves, which are the curves generated by a circle rolling around the...
- tunnel through a homogeneous earth is a hypocycloid; in the special case of two antipodal points, the hypocycloid degenerates to a straight line. All straight-line...
- as a deltoid, a type of quadrilateral A deltoid curve, a three-cusped hypocycloid A leaf shape The deltoid tuberosity, a part of the humerus The deltoid...
- deltoid curve, also known as a tricuspoid curve or Steiner curve, is a hypocycloid of three cusps. In other words, it is the roulette created by a point...
- R)}{R}}} (where LCM is least common multiple). Special cases include the hypocycloid with d = r and the ellipse with R = 2r and d ≠ r. The eccentricity of...
- green field on which is placed a white four-pointed star (a truncated hypocycloid) from which radiate blue stripes, each bordered by L-shaped yellow elements...
- {\displaystyle (x_{0},y_{0})} . The special cases of the epicycloid and hypocycloid, generated by tracing the locus of a point on the perimeter of a circle...
- a roulette is a kind of curve, generalizing cycloids, epicycloids, hypocycloids, trochoids, epitrochoids, hypotrochoids, and involutes. On a basic level...