cardioid

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cardioid

The parametric equations of this cardioid are

x = -a cos θ (1 - cos θ),

y = a sin θ (1 - cos θ).

car·di·oid

(kär′dē-oid′)

A heart-shaped plane curve, the locus of a fixed point on a circle that rolls on the circumference of another circle with the same radius.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

cardioid

(ˈkɑːdɪˌɔɪd)

(Mathematics) a heart-shaped curve generated by a fixed point on a circle as it rolls around another fixed circle of equal radius, a. Equation: r = a(1 – cos φ), where r is the radius vector and φ is the polar angle

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

car•di•oid

(ˈkɑr diˌɔɪd)

n.

a heart-shaped curve traced by a point on a circle that rolls without slipping on another equal circle. Equation: r = a (1−cosA).

[1745–55; < Greek kardioeidḗs heart-shaped]

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Noun

cardioid - an epicycloid in which the rolling circle equals the fixed circle

epicycloid - a line generated by a point on a circle rolling around another circle

Translations

cardioid

[ˈkɑːdɪˌɔɪd] n (Math) → cardioide f

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

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