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Encyclopedia Britannica - Main :: CAR-CAU |
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CARDIOID , a curve
account of its heart-like form (Gr. Kap&ia, heart). It was mathematically treated by Louis Carre in 1705 and Koersma in 1741. It is a particular form of the limacon (q.v.) and is generated in the same way. It may be regarded as an epicycloid
rolling
diameter , as the inverse of a parabola
focus , or as the caustic
cusp at the origin. The area is fa2, i.e. 12 times the area of the generating circle; the length of the curve
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