High Quality Content by WIKIPEDIA articles! In mathematics, the Menger curvature of a triple of points in n-dimensional Euclidean space Rn is the reciprocal of the radius of the circle that passes through the three points. It is named after the Austrian-American mathematician Karl Menger.Let x, y and z be three points in Rn; for simplicity, assume for the moment that all three points are distinct and do not lie on a single straight line. Let ? ? Rn be the Euclidean plane spanned by x, y and z and let C ? ? be the unique Euclidean circle in ? that passes through x, y and z (the circumcircle of x, y and z).

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