Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 86
- xy + (2/1 - yf. See Art. 27, (1). But this distance is the hypothenuse of a right angled tri-angle whose sides are the radius a and the required distanced along the tangent; hence d = ix, - xy- + (yi - yj - a^ ... (1) Cor. 1. If x = 0 and y = 0, then (1) becomesd = x^ + y,2 _ a^ . . . (2)as it… … Fig. 25. Let {x — xY + (i/ — yY = a% (x — xy -\- (jj — y) = b^ be the given circles. Let P (xi, iji) be any point on the radical axis; then fromthe preceding article, we have, d^ = (xi -XY + (7/1 - 2/) l\2 a^ d- = (Xi — xy + (yi - yy — P.-. by definition (x^ — x)- + (yi — ?/)- — a = (x^ — xY + (2/1…
Geometry, Analytic
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