Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 201
+ 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 that the centre is ( — (J, —f)and the radius = Vg2 + f- — c. With the diagram and construction of Fig. 40,AP2 = OP2 - AO2 = (®i + Of + (2/i… … Let a secant di^wn from P (xv yx) cut the circle atA; and let Q (x, y) be any point on the secant. If PA : QA = k: 1, the coordinates of A are(—j- -1, -| ^Y and .., since A is on the circle (*» - ^)2 + (% - y,f = (* - i)2 «2> or, («2 + y2 — a2) I*2 — 2 (««1 + 2/2/x — a2)k+ x\ + 2/i2 _ ft2 = °-…
Geometry · Geometry, Analytic
Internet Archive · Western University Libraries · Public Domain Mark 1.0. Free to use for anything.
