Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 193
x - Sy - 5 = 0, x2 + y2 - 10.x - 6y - 2 = 0. Find also the coordinates of the points of contact of thetangents. 21. Find the equations of the tangents to the circlea?2 + y2 + 2yx + 2/y + c = 0 which are || to x + 3y = 9. y22. Find the equations of the two tangents to the circlex2 + y2 = 25 which… … Let P (xv yx) be the given point; PA and PB thetangents. It is required to find the equation of AB. Take (x, y), (x, y) to represent the coordinatesof A, B respectively. The equation of AP is, by § 74, xx + yy » a2; and since the coordinates of P must satisfy thisequation, *& + VxV = a2- (1)…
Geometry · Geometry, Analytic
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