Complex conics and their real representation (1917)
Mitchell, Benjamin Ernest, b. 1879 · Lancaster, Pa., Press of the New era printing company · leaf 34
us examinethe parabolic case. Here we have: ^ =0, t = _ 9 e-\-T + 2m? = 0, Zfj., p = n = n -{- ir2. Considering the planes superposed, the origins coincident andthe axes of reals of (to) and (z) coinciding with the ?-axis of thecartesian plane we have: 2ju 2ifXT IV = — 2^ + 1 — IT I — ir z = -… … 21 on. Thus having in mind that t -> w is a direct transformation andT —> 2 is a reverse transformation, the angles being preservedin sense in the one and reversed in the other, we shall see justwhat regions of (z) and (w) correspond. They are so indi-cated in the figure. The situation is…
Conic sections · Geometry, Analytic
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