The imaginary domains of conics and their interpretation in the complex plane (1912)
Wilson, Charles Richard · leaf 44
he general equations of Collineation x1 = a x + b y + ca x + d y + c 3 3 3 vi-ax + fcy+c a .2 ? . .a x + b y + c 3 3 3 Since J and J are on the line y ~ 0, to transform 1 2 these points to I and I , this line must he transformed to the 1 2 line at infinity. From the general equations of… … Fig. 3 18 be transformed to the line at infinity is y - 0. Therefore the coefficients a and c vanish,s a So the general equations reduce to:- r x (1.) 1 s L y - a>yx + b,y + jb.^y 2j£JJ*jL +. 5a V Then
Conic sections · Geometry, Analytic · Theses
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