Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 286
e2cosa , -a2&e2sinacoordinates being —^—717- and 5—z^— . Prove also that the major axis is the bisector of the angle PGQ,and that the locus of Q for different positions of P is the ellipse a;2 y^ _ \^^+by CHAPTER XIII. THE HYPERBOLA. 295. The hyperbola is a Conic Section in which… … 272 COORDINATE GEOMETRY. Since e> 1, there will be another point A\ on /S^ pro-duced, such that SA! = e.AZ. (2). Let the length A A! be called 2c&, and let C be the middlepoint of AA!. Subtracting (1) from (2), we havela^AA^e.A:Z-e.AZ = e\CA + GZ\-e\_GA -GZ] = e,2GZ, i.e. GZ=- , (3). Adding…
Coordinates · Geometry, Analytic
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