Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 144
angent at (x, y) is there-fore obtained from that of the circle itself by substitutingXX for x^y yy for y^, x ■{■ x for 2a;, and y -V y for 2y. INTERSECTIONS OF A STRAIGHT LINE AND A CIRCLE. 129 This is a particular case of a general rule Avhich will befound to enable us to write down at sight the… … The coordinates of the points in which the straight line(1) meets (2) satisfy both equations (1) and (2). If therefore we solve them as simultaneous equationswe shall obtain the coordinates of the common point orpoints. Substituting for y from (1) in (2), the abscissae of therequired points are…
Coordinates · Geometry, Analytic
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