Inversive Ring Geometry

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, inversive ring geometry is the extension of the concepts of projective line, homogeneous coordinates, projective transformations, and cross-ratio to the context of associative rings, concepts usually built upon rings that happen to be fields. August Ferdinand Möbius investigated the Möbius transformations between his book Baricentric Calculus(1827) and his 1855 paper "Theorie der Kreisverwandtschaft in rein geometrischer Darstellung". Karl Wilhelm Feuerbach and Julius Plucker are also credited with originating the use of homogeneous coordinates.