Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 155
is evidently the case here,since the tangent to the ellipse bisects the exterior angle 136 ANALYTIC GEOMETRY [Ch.X, § 78 between the focal radii, and the tangent to the hyperbolabisects the interior angle. The curves therefore intersectorthogonally. 4. The tangent at any point of a parabola makes… … Fig. 73. to OX. We wish to prove that the angles TPXP andFTPX are equal. If we let the abscissa of Px be xv its ordinate will be±V2mxv since Pt is a point on the parabola. Then theequation of the tangent at P± is ± V2 mx1 • y = m (x + x^).If in this equation we let y = 0, we find the interceptOT to…
Geometry, Analytic
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