Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 47
to the curve represented by equa-tion (2). In general the tangent line simply touches thecurve, without cutting it, as in the case of the circle. Ex. 1. Find the jioints of intersection of 3a; -2y- -4 = 0 (1) and x — iy = 0. (2) Solving (1) for y and sub-stituting the result in (2), wehave x2 — G x… … Fig. Ex. 2. Find the points ofintersection of 0 x - 4 y - 9 = 0 (1) and x2 - 4 y = 0. (2) Solving (1) for y and sub-stituting the result in (2), wehave x2 - G x + 9 = 0. Theroots of this ecpiation areequal, each being 3. Hencethe straight line is tangentto the curve. Substituting 3for x in (1), we…
Geometry, Analytic · Calculus
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