Results 11 to 20 of about 211,113 (260)
Menelaus's theorem for hyperbolic quadrilaterals in the Einstein relativistic velocity model of hyperbolic geometry [PDF]
, 2010 Hyperbolic Geometry appeared in the first half of the 19th century as an attempt to understand Euclid's axiomatic basis of Geometry.
Barbu, Catalin
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Nature, 1911 As many mathematicians give very little thought to the theory of sets, it is perhaps worth while dwelling for moment on Dr. Sommerville's possibly misleading remarks in NATURE of October 5. He, quite correctly, points out the one-one correspondence between the aggregates of integral numbers 1, 2, 3, &c. (n), and even numbers 2, 4, 6, &c. (2n). Thus the
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Partialy Paradoxist Smarandache Geometries [PDF]
, 1996 A paradoxist Smarandache geometry combines Euclidean, hyperbolic, and elliptic geometry into one space along with other non-Euclidean behaviors oflines that would seem to require a discrete space.
Iseri, Howard
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Mathematical Proof and Discovery Reductio ad Absurdum
Informal Logic, 2008 The uses and interpretation of reductio ad absurdum argumentation in mathematical proof and discovery are examined, illustrated with elementary and progressively sophisticated examples, and explained.
Dale Jacquette
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The Renaissance Concept of Space: Notes on the Interaction between Arts and Sciences in History [PDF]
Acta Baltica Historiae et Philosophiae Scientiarum, 2015 “Renaissance concept of space” harbors surely some definite bonuses for anybody embarking on a study of the inventive role that philosophy has had, in its happiest moments of life, for human cognition.
Rein Undusk
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Do mito da Geometria Euclidiana ao ensino das Geometrias Não Euclidianas
Vértices, 2010 Das tentativas frustradas de provar que o quinto postulado de Euclides era um teorema, surgiram as Geometrias Não Euclidianas. Com os quatro primeiros postulados de Euclides e a negação do quinto, surgiram outras Geometrias cujos postulados são possíveis
Mylane dos Santos Barreto +1 more
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On The Investigating Cycle Properties In The Galilean Plane G^2
Eurasian Journal of Science and Engineering, 2023 The introduction of the Galilean plane within the affine plane parallels the familiar concepts of the Euclidean plane, extending the realm of geometric exploration.
Abdullah Kurudirek
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Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions [PDF]
, 2015 In this paper we study the sub-Finsler geometry as a time-optimal control problem. In particular, we consider non-smooth and non-strictly convex sub-Finsler structures associated with the Heisenberg, Grushin, and Martinet distributions.
Barilari, Davide +3 more
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Studying the status of fractal geometry in art and its appearance in artwork [PDF]
پیکره, 2015 Euclid was one of the first who attempted to explain natural phenomena in terms of mathematical concepts. His efforts were called Euclidean geometry.
Mahtab Mobini, Nooshin Fatholahi
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Non-Euclidean Geometry, Nontrivial Topology and Quantum Vacuum Effects
Universe, 2018 Space out of a topological defect of the Abrikosov–Nielsen–Olesen (ANO) vortex type is locally flat but non-Euclidean. If a spinor field is quantized in such a space, then a variety of quantum effects are induced in the vacuum.
Yurii A. Sitenko +1 more
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