Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 162
other circle of the pencil, say theradical axis. TETEACYCLICAL COOEDINATES 149 These considerations lead to the following theorem:V. For any pencil of circles there exists another pencil such that allcircles of either pencil are orthogonal to all circles of the other, andany circle which is… … Fig. 47 EXERCISES 1. Show that two real circles intersect in two real distinct points,are tangent, or intersect in two conjugate imaginary points according as [*(«,&)]■-*(«)*(») §0. 2. Show that the point circles in a pencil of real circles have real anddistinct, conjugate imaginary, or…
Geometry, Analytic
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