Results 271 to 280 of about 37,802 (311)
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An Improvement on SSA Congruence for Geometry and Trigonometry
The Mathematics Teacher, 1983Many textbooks mention what might be called three and a half basic congruence theorems: SAS, ASA, SSS, and HI. (for right triangles). Perhaps because of the ambiguity involved in the SSA condition, this criterion for congruence is consistently neglected.
Shraga Yeshurun, David C. Kay
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On Certain Linear Congruence Class Geometries
1983Summary A subset of the points of a finite affine desarguesian geometry, equipped with the induced subspace structure and the induced parallelism, is called a representable geometry. The question is answered as to which repre-sentable geometries are congruence class geometries in the sense of Wille, i.e.
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LTB geometry with tilted and nontilted congruences in f(R,T) gravity
International Journal of Modern Physics D, 2017We investigate the role of tilted and nontilted congruence in the dynamics of dissipative Lemaître–Tolman–Bondi spacetime in [Formula: see text] gravity. We consider imperfect fluid with its congruences observed by tilted observer and dust fluid filled with LTB geometry observed by the nontilted observer.
Yousaf, Z. +2 more
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Analysis of congruence for talar dome geometry among tali of different sizes
The Foot, 2019Traumatic injury and idiopathic avascular necrosis of the talus bone can result in osteochondral lesions of the talus leading to pain, motion loss, and disability. Treatment with osteochondral allografting currently requires the donor talus to be size matched to the recipient talus to ensure precise fits.
Devon, Stone +2 more
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Students’ Conceptions of Congruency Through the Use of Dynamic Geometry Software
International Journal of Computers for Mathematical Learning, 2009This paper describes students’ interactions with dynamic diagrams in the context of an American geometry class. Students used the dragging tool and the measuring tool in Cabri Geometry to make mathematical conjectures. The analysis, using the cK¢ model of conceptions, suggests that incorporating technology in mathematics classrooms enabled a measure ...
Gloriana González, Patricio G. Herbst
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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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