Complex conics and their real representation (1917)
Mitchell, Benjamin Ernest, b. 1879 · Lancaster, Pa., Press of the New era printing company · leaf 21
ng a for a + 6 and h for a — b, 4*1 4si (90 (^+-) (^--y =1, (7 + »rJ (7-*•) /2 //2 1 + m^ I -{- VI- These equations show that to any circle of radius r in the t-plane in general correspond different ellipses in the (Ty and 12 COMPLEX COXICS AND THEIR REAL REPRESENTATION. (r2-surfaces. There is one… … scribes any given line in its plane <ti and o-o describe the branchesof the corresponding hyperbola together. A little examinationshows that they never move in the same direction on the hyper-bola but always in opposite directions, passing each other onthe common ellipse (11) of the two planes.…
Conic sections · Geometry, Analytic
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