Complex conics and their real representation (1917)
Mitchell, Benjamin Ernest, b. 1879 · Lancaster, Pa., Press of the New era printing company · leaf 23
-\- 2 a -f- ibr a + ibrz = - a + 2- =;r. 1 — T Changing the parameter by means of the linear transformation: r - 1■ ~ r + 1* Holzmiiller, p. 63. 14 COMPLEX COXICS AXD THEIR REAL REPRESENTATION. we have, w (1) Or, as in the case of the ellipse, if we put (2) T^ = {a + ih)T and to = (a - ih)r, and… … Since ti = (a + ih)r and r-i = (a — f6)r, the configuration ofthe r-plane consisting of concentric circles and radial lines, isnot altered, lines and circles merely going over into lines andcircles. In particular the real axis of r goes into the line withslope hja in the ri-plane, and the line with…
Conic sections · Geometry, Analytic
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