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Foundations of geometry—Euclidean and non-Euclidean geometry
1975Euclidean geometry is the oldest and historically most important example of a deductive scientific discipline. Down to modern times it has been a model of an exact science and it became the starting point for a systematic development of the foundations of geometry.
W. Gellert +4 more
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Euclidean and Non-Euclidean Geometries
2014Ancient mathematics was motivated by very practical reasoning. What we now call land management and commerce were the overriding considerations, and calculational questions grew out of those transactions. As a result, many of the ideas considered involved meshing rectangles and triangles, their areas, and their relative proportions.
Steven G. Krantz, Harold R. Parks
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Euclidean and Non-Euclidean Geometry
1986This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition and trigonometrical ...
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An Elementary System of Axioms for Euclidean Geometry Based on Symmetry Principles
, 2017Boris Čulina
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Euclidean Geometry-Based Spatially Coupled LDPC Codes for Storage
IEEE Journal on Selected Areas in Communications, 2016Yixuan Xie +3 more
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