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The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners (1903)
Briggs, George R. (George Russell), b. 1853, Bôcher, Maxime, 1867-1918 · New York, J. Wiley & sons; [etc., etc.] · leaf 97
ter of the circle ^2 + y2 ^ ^2 ^^^ Let the inclination of each of the parallel chords be y^, and lettheir slope be A^. The equations of these chords may then bewritten: — y ^\x ^b^ . . (i)y = \x + d, . . (2)y = X^x-^b, . . (3)etc. In the figure the line (i)represents the locus of thefirst of these… … ,/ _ ,y_y+y. Now//and 7^/are the points where the chord (i) cuts thecircle ; therefore, by § 20, their coordinates may be found byeliminating between equations (o) and (i). 9© ANALYTIC GEOMETRY. Squaring (i) and substituting in (o), we have x^ + Xj^ x^ + 2 l?i X^ X + l^j^ = a%or (I + A/-) X + 2 /^i…Geometry, Analytic -- Plane
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