Data with Non-Euclidean Geometry and its Characterization
Recently, dealing the Non-Euclidean data and its characterization is considered as one of the major issues by researchers. The first problem arises while distinction of among Euclidean and non-Euclidean geometry.
Prem Kumar Singh
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THE COMMON EVOLUTION OF GEOMETRY AND ARCHITECTURE FROM A GEODETIC POINT OF VIEW [PDF]
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
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Grade 11 Students’ Reflections on their Euclidean Geometry Learning Experiences
The teaching of Euclidean geometry is a matter of serious concern in South Africa. This research, therefore, examined the Euclidean geometry learning experiences of 16 Grade 11 students from four South African secondary schools.
Eric Machisi
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METHODOLOGICAL APPROACH TO CONGRUENCE OF QUADRILATERALS IN HYPERBOLIC GEOMETRY
In this paper we will prove new criteria for the congruence of convex quadrilaterals in Hyperbolic geometry and consequently, display the appropriate methodological approach in teaching the same.
Milan Zlatanović, Victor Aguilar
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Opportunity to Learn Euclidean Geometry in Two Mathematics Textbooks of Tenth Grade in South Africa
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
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Scaled relative graphs: nonexpansive operators via 2D Euclidean geometry [PDF]
Many iterative methods in applied mathematics can be thought of as fixed-point iterations, and such algorithms are usually analyzed analytically, with inequalities.
Ernest K. Ryu, Robert Hannah, W. Yin
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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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A Reconsideration of the Effectiveness of Using Geoboard in Teaching Euclidean Geometry
The effect of using Geoboards in teaching Euclidean geometry in Grade 11 mathematics learners is described. A qualitative research design was adopted in the study.
Mandlenkosi Richard Sibiya
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The studies on the worked-out examples teaching approach (WOETA) have been investigated globally and in South Africa, showing gains in learners' performance. This study reports on the Euclidean geometry short learning programme (EGSLP), which used worked-
Msebenzi Rabaza, Joleen Hamilton
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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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