An elementary course of infinitesimal calculus . Fig. 76. Fig, 77. E< a. See Fig. curve is known as the witch of Agnesi. Mx. 5. y2 = a;2|±| (15). There is a node at the origin, and the curve cuts the axis of xagain at (-a, 0). For x>b, and x<-a, y is imaginary. Theline a; = 6 is an asymptote. See Fig. 78, ^^?^- y=^^ (16). This is obtained by putting a = 0 in (15). The loop now shrinksinto a cusp; see Fig. 79. The curve is known as the cissoid. 1. 22 338 INFINITESIMAL CALCULUS. [CH. IX.

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