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The imaginary domains of conics and their interpretation in the complex plane (1912)
Wilson, Charles Richard · leaf 136
1l12) = (AlA2BiB2) = k.In Fig. (14.), let 0 be any angle, such that (c^ c2 i ii 2) = (clc2ili2)* To show that Given the relations, = k .i© = cos $ + i sin $, eie = cos 2 - i sin 0. cos 9 = el * e , 2 2 i tan 9 = -2 i« - e w i« -i$ v i(e + e ; $ = tan -1 e^ - x ].i(2i» + 1)J 2i0e - 1 i(e2i* + 1)(1.)… … Fig. 14. 64 CHAPTER III. A DISGUSSI01I OF THE EQUATIONSOF ANALYTIC COHICS. 1. To distinguish these analogically generalized conies, inwhich the variables are both complex, from the ordinary conies,they shall be called Analytic Conicb. For the sake of simplicity, the equations of the conies,…Conic sections · Geometry, Analytic · Theses
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