Results 11 to 20 of about 12,845,141 (320)

On Geodesic Triangles in Non-Euclidean Geometry [PDF]

Foundations
In this paper, we study centroids, orthocenters, circumcenters, and incenters of geodesic triangles in non-Euclidean geometry, and we discuss the existence of the Euler line in this context.
Antonella Nannicini, Donato Pertici
doaj   +2 more sources

Using non-Euclidean geometry in the Euclidean classroom [PDF]

, 2009
This study is designed to explore the ramifications of supplementing the basic Euclidean geometry, with spherical geometry, a non-Eugledian geometry curriculum.
Wasserman, Kelli Jean
core   +7 more sources

Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature [PDF]

, 2013
This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James
core   +4 more sources

Learning trajectory of non-Euclidean geometry through ethnomathematics learning approaches to improve spatial ability

Eurasia Journal of Mathematics, Science and Technology Education, 2023
Non-Euclidean geometry is an abstract subject and difficult to learn, but mandatory for students. The ethnomathematics approach as a learning approach to improve students’ spatial abilities.
Y. Sukestiyarno, Khathibul Umam Zaid Nugroho, Sugiman Sugiman, B. Waluya   +3 more
semanticscholar   +1 more source

Conical Perspective and Fractal Theory:A Comparative and Contrastive Approach [PDF]

Anastasis: Research in Medieval Culture and Art, 2022
This paper explores a possible connection between Euclidean geometry, which lies at the basis of conical perspective, and fractal geometry, which could, in turn, generate a new system of spatial representation in art. Founded by Renaissance theorists and
Daniel Sofron
doaj   +1 more source

THE COMMON EVOLUTION OF GEOMETRY AND ARCHITECTURE FROM A GEODETIC POINT OF VIEW [PDF]

The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017
Throughout history the link between geometry and architecture has been strong and while architects have used mathematics to construct their buildings, geometry has always been the essential tool allowing them to choose spatial shapes which are ...
T. Bellone, F. Fiermonte, L. Mussio
doaj   +1 more source

Illustrations of non-Euclidean geometry in virtual reality [PDF]

arXiv.org, 2020
Mathematical objects are generally abstract and not very approachable. Illustrations and interactive visualizations help both students and professionals to comprehend mathematical material and to work with it. This approach lends itself particularly well
M. Skrodzki
semanticscholar   +1 more source

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

Neutrosophic 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

Boxing Partula

Substantia, 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

Methods for Optimization Problems with Markovian Stochasticity and Non-Euclidean Geometry [PDF]

AAAI Conference on Artificial Intelligence
This paper examines a variety of classical optimization problems, including well-known minimization tasks and more general variational inequalities.
V. Solodkin, Andrey Veprikov, A. Chernyavskiy, A. Beznosikov   +3 more
semanticscholar   +1 more source