Definitions for hypotrochoid
This page provides all possible meanings and translations of the word hypotrochoid
A geometric curve traced by a fixed point on the radius line outside one circle which rotates inside the perimeter of another circle.
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
Origin: [Pref. hypo- + trochoid.]
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 parametric equations for a hypotrochoid are: Where is the angle formed by the horizontal and the center of the rolling circle. Special cases include the hypocycloid with d = r and the ellipse with R = 2r. The classic Spirograph toy traces out hypotrochoid and epitrochoid curves.
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"hypotrochoid." Definitions.net. STANDS4 LLC, 2015. Web. 27 Apr. 2015. <http://www.definitions.net/definition/hypotrochoid>.