cardioid

cardioid
/kahr"dee oyd'/, n. Math.
a somewhat heart-shaped curve, being the path of a point on a circle that rolls externally, without slipping, on another equal circle. Equation: r = a (1-cosA).
[1745-55; < Gk kardioeidés heart-shaped. See CARDI-, -OID]

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Universalium. 2010.

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  • Cardioid — is closed curve with one cusp.DefinitionIn geometry, the cardioid is an epicycloid with one cusp. Construction* epicycloid produced as the path (or locus) of a point on the circumference of a circle as that circle rolls around another fixed… …   Wikipedia

  • Cardioid — Car di*oid, n. [Gr. kardio eidh s heart shaped; kardi a heart + e i^dos shape.] (Math.) An algebraic curve, so called from its resemblance to a heart. [1913 Webster] …   The Collaborative International Dictionary of English

  • cardioid — [kär′dē oid΄] n. [Gr kardioeidēs, heart shaped < kardia, HEART + oeidēs, OID] Math. a curve more or less in the shape of a heart, traced by a point on the circumference of a circle that rolls around the circumference of another equal circle …   English World dictionary

  • cardioid — noun 1》 Mathematics a heart shaped curve traced by a point on the circumference of a circle as it rolls around another identical circle. 2》 a directional microphone with a pattern of sensitivity of this shape. adjective of the shape of a cardioid …   English new terms dictionary

  • Cardioid/Proofs — TheoremThe curve defined by the parametric equations : x(t) = 2 r left( cos t {1 over 2} cos 2 t ight), qquad qquad (1) : y(t) = 2 r left( sin t {1 over 2} sin 2 t ight) qquad qquad (2) has the same shape as the curve defined in polar coordinates …   Wikipedia

  • cardioid microphone — noun a directional microphone with a cardioid pattern of sensitivity • Hypernyms: ↑directional microphone * * * noun : a microphone having approximately uniform response over 180 degrees in front and minimum response in back, a polar curve… …   Useful english dictionary

  • cardioid microphone — kardioidinis mikrofonas statusas T sritis radioelektronika atitikmenys: angl. cardioid microphone vok. Kardioidmikrophon, n rus. кардиоидный микрофон, m pranc. microphone cardioïque, m …   Radioelektronikos terminų žodynas

  • cardioid — noun Date: 1753 a heart shaped curve that is traced by a point on the circumference of a circle rolling completely around an equal fixed circle and has an equation in one of the forms ρ = a(1 ± cos θ) or ρ = a(1 ± sin θ) in polar coordinates …   New Collegiate Dictionary

  • cardioid — heart shaped …   Dictionary of ichthyology

  • cardioid — 1. noun An epicycloid with exactly one cusp; the plane curve with polar equation having a shape supposedly heart shaped 2. adjective Having this characteristic shape …   Wiktionary

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