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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 101

An illustration from Analytic geometry and calculus, 1917, leaf 101
nter. When the ellipse is a circle, e = 0 and thedirectrices are at infinity. In a similar manner we may show that the hyperbola is aspecial case of a conic where e > 1. 47. The witch. Let OB A (fig. 80) be a circle, OA a diameter,and LK the tangent to y the circle at A. From 0draw any line… … Fig. 80 THE CISSOID 85 To obtain its equation we will take the origin at 0 and theline OA as the axis of y. We will call the length of the diameterof the circle 2 a. Then, by continuing CP until it meets OX atM and calling (x, y) the coordinates of P, we have 0 31 = x, MP = y, OA = MC = 2 a. In the…

Geometry, Analytic · Calculus

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