Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 130
61. Diameter. The diameter of a circle is the locus of the middle 2)oints of asystem of parallel chords of the circle. Accordingly let us find the equation of a diameter of thecircle x^ + y^=r^ (1) bisecting a system of parallel chords of slope m. … Fig. 55. Let y = mx + b (2) be any one of the chords, intersecting tlie circle at the pointsPi(xij yi) and P2(x2, y2)- Then if K(x8j ya) is the middle point 116 PLANE ANALYTIC GEOMETRY. of the chord, i.e., a point of the diameter, xi + X2 yi + y2 ,Qx ^3 = —^ , y3 = ^-y— • (3) Substituting for y…
Geometry, Analytic
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