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The imaginary domains of conics and their interpretation in the complex plane (1912)
Wilson, Charles Richard · leaf 180
- 4k2(ly2 4 4raxy - lx2 - n) =0 m2y4 - 21mxy3 + (I2 - 2m2 Ix2^ - 2mpy2 4 Elmx^y + 21pxy + m2*4 + 2mpx 4 p2 - k4 - k2ly2 - 4k2mxy 4 k^x2 t sfia = 0 , which may be written m2x4 4 21mx3y 4 (12 - 2m2)x2y2 21mxy3 + ra2y4 4 (2mp 4 k2l)x2 - (4mk2 - 21p)xy - (2mp 4 k2l)y2 + p2 - k4 * k2n = 0. Therefore, by… … Fig. 17. 86 Second, we will let w desoribe the straight line u = k.Prom II, (5) , and (6) , 4(my2 - Ixy - mx2 - p)2 - 4k4 + 4k2(ly2 * 4raxy - lx2 - n) =0 m2y4 - 21mxy3 -i (I2 - 2m2)x2y2 - 2mpy2 * 21rax3y * 21pxy + m2x4 •t 2rapx2 * p2 - k4 -» k2ly2 -» 4mk2xy - l^lx2 - k2n * 0 , or m2x4 + 21rax3y ♦…Conic sections · Geometry, Analytic · Theses
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