An elementary course of infinitesimal calculus . Kg. 90. 23—2 356 INFINITESIMAL CALCULUS. [CH. IX. Kg. 91. We proceed to notice in detail one or two of the caseswhich have specially important properties. Ex. 1. The cardioid. If in Art. 137 (3) we put 6 = a, we get x = 2a cos 6 + a cos 26, y = 2asm0+asin 29, whence a! + a = 2a(l+cos6)cos^, y = 2a (I + cos 6) sin (S). This shews that the radius vector drawn from the point (- a, 0)as pole is given by r = 2o(l + cos6i) (4).

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