Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 145
ame form as the equation of the tangentto this conic when P (x^^, ?/i) is thep)oint of tangency. As an example, we will write the equation of the polar line of (1, 3) with respect to the circle x^ + y^ = 4. Here the equation of the polar line of any point (xi, ?/i) is ^xi + 2/2/1 = 4. Hence, the… … + yA X^ 25 16 Here the polar line of any point(•^■i, 2/1) is x:/;i25 16 Fig. 79 ^ = 5^^ y^ = - 25 16 If this equation and the given equa-tion are the equations of the samestraight line, we must have (Art.83)4 k, and - 1 = 20 k, where k is the common ratio. From these equations, we find that Xi =—…
Geometry, Analytic
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