Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 306
Hence the proposition. 323. If aiKiir of conjugate diameters meet the hyperbolaand its conjugate in P and D, then (1) CP^ — CD^ = a^ — 6^,and (2) the tangents at P, D and the other ends of thediameters passing through them form a parallelogram whosevertices lie on the asymptotes and whose area is… … By Art. 308, the equation to the straight line, Avhichis conjugate to CP, is b y ^x —.—-a sm <fi 19—2 292 COORDINATE GEOMETRY. This straight line meets the conjugate hyperbola in the points (a tan <^, h sec ^), and (— a tan (j>, —h sec ^) sothat D is the point {a tan <^, 6 sec ^). We…
Coordinates · Geometry, Analytic
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