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Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach [PDF]

open access: yesEdumatika, 2021
Non-Euclidean Geometry is a complex subject for students. It is necessary to analyze the weaknesses of Euclidean geometry to provide a basis for thinking about the need for learning non-Euclidean geometry.
Khathibul Umam Zaid Nugroho   +2 more
doaj   +2 more sources

Experience of Euclidean geometry sculpts the development and dynamics of rodent hippocampal sequential cell assemblies [PDF]

open access: yesNature Communications
Euclidean space is the fabric of the world we live in. Whether and how geometric experience shapes our spatial-temporal representations of the world remained unknown.
Usman Farooq, George Dragoi
doaj   +2 more sources

An Algebraic Approach to Neutrosophic Euclidean Geometry [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
The objective of this paper is to present a general definition of Neutrosophic Euclidean geometry. The mechanism of comparison between neutrosophic numbers is introduced, as well as the absolute value is extended to the neutrosophical case.
Mohammad Abobala, Ahmad Hatip
doaj   +1 more source

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

open access: yes, 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

The Hybridization of Practical and Theoretical Geometry in the Sixteenth-Century Euclidean Tradition

open access: yesJournal of Interdisciplinary History of Ideas, 2023
This article aims to show how, in the sixteenth century, Euclidean geometry, which was regarded as the epitome of theoretical geometry in the middle ages and in the Renaissance, was to take up, within certain printed commentaries and translations of ...
Angela Axworthy
doaj   +1 more source

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

open access: yesAnastasis: 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]

open access: yesThe 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

Spacetime and Euclidean geometry [PDF]

open access: yesGeneral Relativity and Gravitation, 2006
11 pages, 9 figures; for a festschrift honoring Michael P.
Brill, Dieter, Jacobson, Ted
openaire   +2 more sources

Geodesic motion in Euclidean Schwarzschild geometry

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
This paper performs a systematic investigation of geodesic motion in Euclidean Schwarzschild geometry, which is studied in the equatorial plane. The explicit form of geodesic motion is obtained in terms of incomplete elliptic integrals of first, second ...
Emmanuele Battista, Giampiero Esposito
doaj   +1 more source

Opportunity to Learn Euclidean Geometry in Two Mathematics Textbooks of Tenth Grade in South Africa

open access: yesEdumatika, 2021
Textbooks play a central role in the teaching and learning of mathematics. In some schools, textbooks serve as the only resource material available to teachers and students.
Ugorji I. Ogbonnaya
doaj   +1 more source

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