The imaginary domains of conics and their interpretation in the complex plane (1912)
Wilson, Charles Richard · leaf 80
rre, who gave to it the following formulation:- The equation of all conies having the common focus( «, 0) ia (x «0C)2 + (y _p)2 a X29 in which X is a linear function of x and y.Factoring the above equation, [(x -ex) + v^~I (y - (3) ][(x - a) - /TJ (y - (3 )] « X2. From this form, it follows that… … Fig. 6 36 by Laguerre as the Isotropic Lines.1 Since the slope of two of these lines is +i and that of theother two -i and lines with opposite slopes intersect at and Fg,these lines form a rhombus. Therefore we must stop to prove thefollowing theorem: All conies inscribed in a rhombus are coaxial,…
Conic sections · Geometry, Analytic · Theses
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