Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 360
oci ofany conic section directly, so that the conic need not firstbe traced. 369. Ex. 1. Trace the curveThe equation may be written .(l). (^^^T-K^^T- <^- Now the straight lines 3a;-2?/+ 4 = 0 and 2x + Sy-5 = 0 are atright angles. Let them be C3I andGN, intersecting in C which is thepoint (-t\,… … I.e. PN^ 346 COORDINATE GEOMETRY. The locus of P is therefore an ellipse whose semi-axes measuredalong CM and CN are a/I and 1 respectively. Ex. 2. What is represented by the equation{x^-a^f + iy^-a^)^=a*?The equation may be written in the form a;4 + t/-i - 2a2 (a;2 + ?/2) + a* = 0, i.e. {x^ +…
Coordinates · Geometry, Analytic
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