Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 144
ellipse I+ |: Avith the axis of the ellipse. Then tan 6 tan 6 IllOPKUTIES OF THE CONIC SECTIONS 129 (.Il, ?/i) be the coordinates, ^i the eccentric angle of J\; {.i:,,y.,)tlie coordinates, <f>.2 the eccentric angle of F2. Then tan e _?/, _ h sin •il a cos ^1 tai X., _ 6 sin <^o <<-… … Hence tan c^, tan <^, = - 1 and c/,, and <^. differ l.y 00°; that is,the eccentric angles of the extremities of a pair of conjngatediameters of the ellipse differ by 90°. Call the lengths of the semi-conjugate diameters a, and />,. Then a{ = .c,- + v/f = or cos <^i + Ir sin- ^i, h{ = a-…
Geometry, Analytic
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