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Plane and solid analytic geometry; an elementary textbook (1904)

Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 112

An illustration from Plane and solid analytic geometry; an elementary textbook, 1904, leaf 112
y that equation, or (2) yf = Ix + b. Ch. VIII, § LOCI 95 We have then two equations in a/, y\ Z, and Z>, fromwhich b must be eliminated. From (2) b = y— lx. Sub-stituting this value in (1) andreducing, we have as the equa-tion of the desired locus x -f ly = 0. Since this equation is of thefirst… … 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…

Geometry, Analytic

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