The imaginary domains of conics and their interpretation in the complex plane (1912)
Wilson, Charles Richard · leaf 90
em of conies all of which are doubly tan-gent at the point of intersection of s2 = 0 and q-^ = 0 and that ofe2 = 0 and q2 = 0. However, if (1) and (2) represent the same system of coniesplp2 *s identically equal to qiq2 - yM s2. .\ px p2 - qx q2= Ar2 - yus2. (3).This is the condition which must… … Substituting these values in (3.), [y - i(y - e)] [y - i ( x + c)] - [y + i(x - c)] [y + i(x + c)J \ 2= A r -/<s . y-i y(x - c) - i y(x + c) - o px2 + c° - y - i y (x - • c) - i y(x + c) + - = /\ -yws^. -ixy+icy-ixy-ioy-ixy+ i cy - i xy - i cy = A l .2 „B2* -/MB . - 4 i xy = A («^x + pxy + y1)2…
Conic sections · Geometry, Analytic · Theses
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