Results 191 to 200 of about 37,514 (226)
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Congruence criterion in neutral geometry
Neutral geometry is a geometry based on an axiomatic system for Euclidean geometry without the parallel postulate which is known as the Euclid's fifth postulate. This project studies and establishs certain congruence criterions for triangles in Neutral geometry.openaire +1 more source
On the kinematic-geometry of a line congruence
International Journal of Geometric Methods in Modern PhysicsThis study examines the kinematic geometry of line congruences in Euclidean 3-space [Formula: see text], defined as two-parameter families of lines determined by a director surface and unit direction vectors. The fundamental properties of ruled surfaces within a line congruence are analyzed, with particular focus on their developability conditions and ...
Areej A. Almoneef, Rashad A. Abdel-Baky
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On finite algebras having a linear congruence class geometry
Algebra Universalis, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Laboratory investigations in geometry: a piece‐wise congruence approach
International Journal of Mathematical Education in Science and Technology, 1986In this paper, a new approach in Visual Geometry called Dissection‐Motion‐Geometry is presented. Certain patterns of dissecting polygonal regions in the plane are introduced. Emphasis is laid on rectangulation and derectangulation of polygonal regions.
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Hansraj Gupta’s “A technique in partitions” revisited: Congruences, cranks, and polyhedral geometry
International Journal of Number TheoryWe revisit a 1975 result of Gupta on a “new” technique for computing values of [Formula: see text], the function enumerating the partitions of n whose part sizes come from a finite set G. We generalize Gupta’s main theorem and then use this result to establish an infinite family of partition congruences.
Joselyne Aniceto, Brandt Kronholm
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The Asymptotic Equivalence of Similarity and Congruence in Coarse Geometry
This paper investigates the relationship between the classical geometric concepts of similarity and congruence within the framework of coarse geometry. In traditional Euclidean geometry, these concepts are distinct: congruence implies identical shape and size, while similarity requires only identical shape, allowing for differences in scale.openaire +1 more source

