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]

open access: yes, 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
core   +1 more source

The Challenges of South African Teachers in Teaching Euclidean Geometry

open access: yes, 2020
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

Boxing Partula

open access: yesSubstantia, 2022
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
doaj   +1 more source

On geometry on a two-dimensional plane in a five-dimensional pseudo-Euclidean space of index two [PDF]

open access: yesE3S Web of Conferences
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
doaj   +1 more source

NeutroGeometry & AntiGeometry are alternatives and generalizations of the Non-Euclidean Geometries [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry.
Florentin Smarandache
doaj   +1 more source

Partialy Paradoxist Smarandache Geometries [PDF]

open access: yes, 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
core   +1 more source

Making Euclidean geometry compulsory: Are we prepared?

open access: yesPerspectives in Education, 2010
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
doaj   +3 more sources

Visual foundations of Euclidean geometry

open access: yesCognitive Psychology, 2021
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
openaire   +4 more sources

The Distance Geometry of Music [PDF]

open access: yes, 2007
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
core   +2 more sources

Studying the status of fractal geometry in art and its appearance in artwork [PDF]

open access: yesپیکره, 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
doaj   +1 more source

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