Hypotrochoid

Hypotrochoid
Hypotrochoid Hy`po*tro"choid, n. [Pref. hypo- + trochoid.] (Geom.) A curve, traced by a point in the radius, or radius produced, of a circle which rolls upon the concave side of a fixed circle. See {Hypocycloid}, {Epicycloid}, and {Trochoid}. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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  • Hypotrochoid — A hypotrochoid is a roulette traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R , where the point is a distance d from the center of the interior circle. The red curve is a hypotrochoid… …   Wikipedia

  • hypotrochoid — noun /ˌhaɪ.pə(ʊ)ˈtɹəʊ.kɔɪd,ˌhaɪ.poʊˈtɹoʊ.kɔɪd,ˌhaɪ.pəˈtɹoʊ.kɔɪd/ A geometric curve traced by a fixed point on the radius line outside one circle which rotates inside the perimeter of another circle …   Wiktionary

  • hypotrochoid — hy·po·trochoid …   English syllables

  • hypotrochoid — …   Useful english dictionary

  • Centered trochoid — In geometry, a centered trochoid is the roulette formed by a circle rolling along another circle. That is, the path traced by a point attached to a circle as the circle rolls without slipping along a fixed circle. The term encompasses both… …   Wikipedia

  • Ellipse — Elliptical redirects here. For the exercise machine, see Elliptical trainer. This article is about the geometric figure. For other uses, see Ellipse (disambiguation). Not to be confused with ellipsis. An ellipse obtained as the intersection of a… …   Wikipedia

  • Hipotrocoide — Una hipotrocoide, en geometría, es la curva plana que describe un punto vinculado a una circunferencia generatriz que rueda dentro de una circunferencia directriz, tangencialmente, sin deslizamiento. La palabra se compone de las raíces griegas… …   Wikipedia Español

  • Cycloid — For other uses, see Cycloid (disambiguation). A cycloid generated by a rolling circle A cycloid is the curve traced by a point on the rim of a circular wheel as the wheel rolls along a straight line. It is an example of a roulette, a curve… …   Wikipedia

  • Hypocycloid — 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. It is comparable to the cycloid but instead of the circle rolling along a line, it rolls within a… …   Wikipedia

  • Spirograph — is a registered trademark of Hasbro, Inc., for a geometric drawing toy.The Spirograph produces mathematical curves of the variety technically known as hypotrochoids and epitrochoids. The term has also been used to describe a variety of software… …   Wikipedia

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