Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 114
atisfy that equation, or (2) y = lz+b. Ch. VIII, § 61] LOCI 95 We have then two equations in x, y, I, and 6, 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 locusx + ly = 0. Since this equation is of thefirst… … It 27. Find the locus of the middle points of chords whichpass through a fixed point Qxv y^) of the circle x2 + y2 = r2. Let P, (V, ?/), be the middle point of any chord throughPv (xv y^). Let (xv y2~) be the coordinates of P2, theother extremity of the chord. From the formulas for bisecting a line…
Geometry, Analytic
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