Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 114
es the center 0, its inverse P movesoff to infinity, and vice versa. The inverse of any geometrical figure (line, curve, area, etc.) is thefigure formed by the points inverse to all the points of the given figure. 92. Inverse of a Circle. Taking rectangular axes through 0(Fig. 80), we find for the… … Fig. m These equations enable us to find to any curve whose equation is given theequation of the inverse curve, by simply substituting for ,r, y their values. Thus it can be shown that hy inversion any circle is transformed intoa circle or a straight line. For, if in the general equation of the…
Geometry, Analytic
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