intersection ofthe secant with the curve, if Q move along the curveso as to approach indefinitely close to P, the limitingposition of PQR, say PT, is called the tangent at P;and P is called the point of contact of the tangent PT. 86 Analytical Geometry. The tangent is thus a straiglit line passing… … Let PQ be a secant through the points F{x\ y) andQ{x, y) on the circle x- + y~ = /•-. The equation of the line through {x\ y), {x. y) isX -x jj -yx - x y - i/ or y-y = ^j^Ax-x) (!)• Also since {x\ y), (x\ y) lie on the circle x- + y~ = r-, therefore x-^+y-=r^^, and therefore {x^-x-^) + {y^-y-^) = 0…
Geometry, Analytic
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