Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 200
r tangent from (9, 13).Draw the diagram on squared paper. 4. Find the pole of — + |- = 1 with respect to x2 + y2 = c2. 5. Find the pole of Ix + my = 1 with respect to thecircle a~ + y2 + 2gx + 2fy + c = 0. G. Prove that the polar of ( — 2, 5) with respect to x2 +y2 = 18 touches x2 + y2 - G.c + 2y =… … Fig. 40. (1) Let the equation of the circle be x2 + y2 := a2.Join OA, OP. V AOP is a rt.-Zd A,AP2 = OP2 - AO2 = xx + Vi ~ «2. .. ap = /xg + v/ - a2.(2) Let the equation of the circle be x2 + y2 + 2gx + 2fy + c = 0.This equation may be written (» + #/ + (y + /)2 = £2 + f - c,from which it is seen…
Geometry · Geometry, Analytic
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