Results 41 to 50 of about 1,591,753 (376)
Menelaus's theorem for hyperbolic quadrilaterals in the Einstein relativistic velocity model of hyperbolic geometry [PDF]
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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The Challenges of South African Teachers in Teaching Euclidean Geometry
The current study identifies challenges confronting teachers in the teaching of Euclidean geometry in schools. This qualitative case study purposefully selected ten schools situated in the Motheo District of Education, Free State, South Africa. Data was
S. A. Tachie
semanticscholar +1 more source
The comprehension of form generally assumes a euclidean three-dimensional perspective. I argue here that non-euclidean geometry has much to offer in understanding structures of atomic crystals, molecular liquid crystals and related mesoporous inorganic
Stephen Hyde
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On geometry on a two-dimensional plane in a five-dimensional pseudo-Euclidean space of index two [PDF]
The study of the geometry of surfaces having a codimension greater than one in multidimensional spaces is one of the most difficult problems in geometry. When the multidimensional geometry under consideration has a pseudo-Euclidean metric, its complexity
Mamadaliev Botirjon+2 more
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NeutroGeometry & AntiGeometry are alternatives and generalizations of the Non-Euclidean Geometries [PDF]
In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry.
Florentin Smarandache
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Partialy Paradoxist Smarandache Geometries [PDF]
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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Making Euclidean geometry compulsory: Are we prepared?
This study investigated the attitude towards, as well as the level of understanding of Euclidean geometry in pre-service mathematics education (PME) students.
Sonja van Putten+2 more
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Visual foundations of Euclidean geometry
Geometry defines entities that can be physically realized in space, and our knowledge of abstract geometry may therefore stem from our representations of the physical world. Here, we focus on Euclidean geometry, the geometry historically regarded as “natural”.
Véronique Izard+2 more
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The Distance Geometry of Music [PDF]
We demonstrate relationships between the classic Euclidean algorithm and many other fields of study, particularly in the context of music and distance geometry.
Demaine, Erik D.+7 more
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Studying the status of fractal geometry in art and its appearance in artwork [PDF]
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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