The imaginary domains of conics and their interpretation in the complex plane (1912)
Wilson, Charles Richard · leaf 26
. As this pencilis intersected by the rays CP and CQ, we have (CLPP) = (CMQQ).Since Q is at infinity, (CMQQ) = CQ/MQ= CO/NO, which is a constant and is entirelyindependent of the position of 1, 1, and CP. Therefore (CLPP) = constant, in which L is the intersectionof any ray through C with s and P… … 9 2. Analytical Representation of Central Projection. In Pig. (2), assume any two perpendicular lines throughC as coordinate axes and designate the angle made with the x-axis by CO by Y and that made by CP by 0 . Designate the coordin-ates of P and P» by (x,y) and (x,y) respectively. We know (CLPP)…
Conic sections · Geometry, Analytic · Theses
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