four-dimensional Riemann geometry

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• geometry — /jee om i tree/, n. 1. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties… …   Universalium

• Riemann, Bernhard — ▪ German mathematician in full  Georg Friedrich Bernhard Riemann  born September 17, 1826, Breselenz, Hanover [Germany] died July 20, 1866, Selasca, Italy  German mathematician whose profound and novel approaches to the study of geometry laid the …   Universalium

• geometry — Although various laws concerning lines and angles were known to the Egyptians and the Pythagoreans, the systematic treatment of geometry by the axiomatic method began with the Elements of Euclid . From a small number of explicit axioms,… …   Philosophy dictionary

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• Non-Euclidean geometry — Behavior of lines with a common perpendicular in each of the three types of geometry Non Euclidean geometry is the term used to refer to two specific geometries which are, loosely speaking, obtained by negating the Euclidean parallel postulate,… …   Wikipedia