Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 216
= DP = a; HIGHER PLANE CURVES. 201 i.e., the intercept between the circle ODA and the lima9onof the secant through 0 is constant and equal to the radius ofthe circle. ScHOL. 2. If ^ = 0, r = 3 a = OB. If ^ = 90°, r = a = OM. If ^ = 180°, r = - a = OG If ^ = 270°, r = a = OM 156. The Lemniscata. The… … Fig. 66. 1. To deduce the rectangular equation. Since T {x, y) is a point of the equilateral hyperbola, wehave, Art. 103, Cor 1, x^ - y^ ==a . . . (1) The equation of the tangent line TP is, Art. 112,XX - yy = «^ . . . (2) 202 PLANE ANALYTIC GEOMETRY. xSince the slope of this line is —, the…
Geometry, Analytic
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