The imaginary domains of conics and their interpretation in the complex plane (1912)
Wilson, Charles Richard · leaf 222
tions x r u and y = i v, we get v = +_ Z l/p u, or v2 = 4 p u,which is a system of parabolas with the foci on the u - axis, fornegative values of u, for p is negative (Fig. 26). Second, take the equation x2 = 4 p y. When p>0 and y>0, this equation represents a system of parabolas, with the… … Fir. 27. 107 x = i u and y = v, we get u = ± 2 /p v or u2 = 4 p v,which is the equation of a system of parabolas with the foci on thev - axis for positive values of v. (Fig. 27). When p <0 and y<0, the given equation represents a systemof parabolas with the vertex at the origin and the foci…
Conic sections · Geometry, Analytic · Theses
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