Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 112
It is 27. Find the Iogus of the middle points of chords whichpass through a fixed point (xv yx) of the circle x2 + y2 = r2. Let P\ (V, ?/), be the middle point of any chord throughPv (xv y{). Let (xvy^) be the coordinates of P2, theother extremity of the chord. From the formulas for bisecting a… … (1) x = x, 4- x, and (2) y = U±±l2. And, since P2 is a point onthe circle, (3) + Here are three equationsbetween the variables xf and y\ the constants xv yv and r,and the parameters x2 and yv It is therefore possible !»»; ANALYTIC GEOMETRY [Ch. VIII, § 61 to eliminate the parameters and obtain a…
Geometry, Analytic
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