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Inversive geometry
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=== Examples in two dimensions === [[File:circle_inversion_examples.svg|thumb|upright|link={{filepath:circle_inversion_examples.svg}}|Examples of inversion of circles A to J with respect to the red circle at O. Circles A to F, which pass through O, map to straight lines. Circles G to J, which do not, map to other circles. The reference circle and line L map to themselves. Circles intersect their inverses, if any, on the reference circle. In [{{filepath:circle_inversion_examples.svg}} the SVG file,] click or hover over a circle to highlight it.]] * Inversion of a line is a circle containing the center of inversion; or it is the line itself if it contains the center * Inversion of a circle is another circle; or it is a line if the original circle contains the center * Inversion of a parabola is a [[cardioid]] * Inversion of hyperbola is a [[lemniscate of Bernoulli]]
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