Results 241 to 250 of about 1,143,945 (288)
Some of the next articles are maybe not open access.
2006
Abstract Euclidean geometry was the first branch of mathematics to be treated in anything like the modern fashion (with postulates, definitions, theorems, and so forth); and even now geometry is conducted in a very logical, tightly knit fashion.
Valerio Scarani, Rachael Thew
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Abstract Euclidean geometry was the first branch of mathematics to be treated in anything like the modern fashion (with postulates, definitions, theorems, and so forth); and even now geometry is conducted in a very logical, tightly knit fashion.
Valerio Scarani, Rachael Thew
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1993
Abstract Let S be an affine space. We saw in the last chapter that if we also assume that S has the extra structure of an absolute distance |AB| between two points A and B, then it is possible to define a dot product u • v between any two vectors u and V in S.
H. S. M. Coxeter, George Beck
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Abstract Let S be an affine space. We saw in the last chapter that if we also assume that S has the extra structure of an absolute distance |AB| between two points A and B, then it is possible to define a dot product u • v between any two vectors u and V in S.
H. S. M. Coxeter, George Beck
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1989
Surprisingly, the geometry of curved surfaces throws light on the geometry of the plane. More than 2000 years after Euclid formulated axioms for plane geometry, differential geometry showed that the parallel axiom does not follow from the other axioms of Euclid.
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Surprisingly, the geometry of curved surfaces throws light on the geometry of the plane. More than 2000 years after Euclid formulated axioms for plane geometry, differential geometry showed that the parallel axiom does not follow from the other axioms of Euclid.
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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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Data With Non-Euclidean Geometry and Its Characterization
Journal of Artificial Intelligence and Technology, 2021Prem Kumar Singh
exaly
Constructions in Euclidean Geometry
2007Leo Dorst, Daniel Fontijne, Stephen Mann
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A Variation of Hilbert’s Axioms for Euclidean Geometry
Mathematische Semesterberichte, 2022Hermann Hähl
exaly