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To get a circle not passing from the center of inversion, the center of your circle getting inverted and the middle of its image less than inversion are collinear with the center with the reference circle.A circle not passing via O inverts to a circle not passing as a result of O. Should the circle satisfies the reference circle, these invariant fa

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Given that inversion in the device sphere leaves the spheres orthogonal to it invariant, the inversion maps the factors In the device sphere to the surface and vice versa. This can be therefore accurate generally speaking of orthogonal spheres, and specifically inversion in one of many spheres orthogonal to the device sphere maps the device sphere

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