Ebook The Elements of Non-Euclidean Geometry (Dover Books on Mathematics)
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Maths Heroes Maths Week 2012 Maths Heroes links to the past An appreciation of the history of mathematics can motivate some students as it gives an insight into how great mathematicians of Parallel Postulate -- from Wolfram MathWorld Parallel Postulate Given any straight line and a point not on it there "exists one and only one straight line which passes" through that point and never intersects Euclid Ancient History Encyclopedia Euclid of Alexandria (lived c 300 BCE) systematized ancient Greek and Near Eastern mathematics and geometry He wrote The Elements the most widely used mathematics Books in the Mathematical Sciences This site is intended as a resource for university students in the mathematical sciences Books are recommended on the basis of readability and other pedagogical value Philosophical Dictionary: Leibniz-Logos Recommended Reading: Vladimir Lenin Essential Works of Lenin: 'What Is to Be Done?' and Other Writings ed by Henry M Christman (Dover 1987); Robert Service Non-Euclidean geometry - Wikipedia In mathematics non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry As Euclidean geometry lies Euclid - Wikipedia Proclus later retells a story that when Ptolemy I asked if there was a shorter path to learning geometry than Euclid's Elements "Euclid replied there is no royal Plane geometry Introduction to Euclid's Elements What plane geometry is about I N T R O D U C T I O N Geometry: The Study of Figures Plane geometry Magnitudes Non-Euclidean Geometry -- from Wolfram MathWorld Non-Euclidean Geometry In three dimensions there are three classes of constant curvature geometries All are based on the first four of Euclid's postulates but What Is Circle? - Interactive Mathematics Miscellany and Circle is the locus of points equidistant from a given point the center of the circle The common distance from the center of the circle to its points is called radius
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