Assume the cartesian model for Euclidean Geometri and let O

Assume the cartesian model for Euclidean Geometri and let O = (0, 0). Use what we know about an inversion does to determine and aplain your answer. Let C be the circle of radious 1 with center (1, 0) sketch Io,z(c) and find an equation for the curve Io,z(c)

Solution

ASSUMING THAT YOUR SYMBOL [ I(0,2)] OF THE CIRCLE C TO MEAN THE INVERSION OF CIRCLE C AS GIVEN WITH CENTER AT [X , Y ] = [1,0] & RADIUS=A=1 WRT AN INVERSION CIRCLE WITH INVERSION CENTER AT [Xo,Yo]= [0,2] AND RADIUS = K = 1