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.
The numerical value of hypotrochoid in Chaldean Numerology is: 9
The numerical value of hypotrochoid in Pythagorean Numerology is: 3
Images & Illustrations of hypotrochoid
Find a translation for the hypotrochoid definition in other languages:
Select another language:
Discuss these hypotrochoid definitions with the community:
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Use the citation below to add this definition to your bibliography:
"hypotrochoid." Definitions.net. STANDS4 LLC, 2017. Web. 17 Oct. 2017. <http://www.definitions.net/definition/hypotrochoid>.