Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 183
on. Themethod of finding the angle of intersection is illustrated inthe following example: Ex. 3. Find the angle of intersection ofthe circle x1 + y2 = 8 and the parabola x2 = 2y.The points of intersection are Pt (2, 2) andP2 (- 2, 2) (fig. 130), and from the symmetryof the diagram it is evident… … Fig. 130 1 and the slope ola, we find -2. = x.dx Hence at P1 the slope of the tangent to the circle of the tangent to the parabola is 2. Accordingly, if /3 denotes the required angle of intersection, — 1 — °tan ft = o =3, or /3=tan-!3. 88. Sign of the second derivative. Since the second derivative…
Geometry, Analytic · Calculus
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