Results 1 to 10 of about 37,514 (226)

Discrete asymptotic nets and W-congruences in Plucker line geometry [PDF]

Journal of Geometry and Physics, 2000
The asymptotic lattices and their transformations are studied within the line geometry approach. It is shown that the discrete asymptotic nets are represented by isotropic congruences in the Plucker quadric.
Adam Doliwa, Bobenko, Bogdanov, Doliwa, Doliwa, Doliwa, Doliwa, Doliwa, Doliwa, Ernst, Ganzha, Hirota, Hirota, Klein, Konopelchenko, Konopelchenko, Krichever, Lelieuvre, Levi, Levi, Mañas, Moutard, Nimmo, Plebański, Plücker, Schief   +25 more
core   +4 more sources

METHODOLOGICAL APPROACH TO CONGRUENCE OF QUADRILATERALS IN HYPERBOLIC GEOMETRY

Facta Universitatis. Series, Teaching, Learning and Teacher Education, 2021
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
doaj   +4 more sources

Lorentzian manifolds with shearfree congruences and Kähler-Sasaki geometry [PDF]

Differential Geometry and its Applications, 2021
We study Lorentzian manifolds $(M, g)$ of dimension $n\geq 4$, equipped with a maximally twisting shearfree null vector field $p_o$, for which the leaf space $S = M/\{\exp t p_o\}$ is a smooth manifold. If $n = 2k$, the quotient $S = M/\{\exp t p_o\}$ is naturally equipped with a subconformal structure of contact type and, in the most interesting cases,
Dmitri V. Alekseevsky, Masoud Ganji, Gerd Schmalz, Andrea Spiro   +3 more
openaire   +4 more sources

A comparison between a patient-specific bone regenerative implant and the osteochondral allograft procedure in a Hill-Sachs lesion, a cadaveric study [PDF]

JSES Reviews, Reports, and Techniques
Background: Anterior shoulder instability with >30% humeral bone loss is typically treated with an osteochondral allograft (OCA), though complications and reoperation rates remain high (20%-30%).
Michał S. Gałek-Aldridge, MD, Koen Willemsen, MD, PhD, Sophie H. Nelissen, MD, Bart C.H. van der Wal, MD, PhD, Jos Malda, PhD, Michel P.J. van den Bekerom, MD, PhD, Arthur van Noort, MD, PhD   +6 more
doaj   +2 more sources

A new property of congruence lattices of slim, planar, semimodular lattices [PDF]

Categories and General Algebraic Structures with Applications, 2022
The systematic study of planar semimodular lattices started in2007 with a series of papers by G. Grätzer and E. Knapp. These lattices haveconnections with group theory and geometry. A planar semimodular latticeL is slim if M3 it is not a sublattice of L.
Gábor Cz´edli, George Gr¨atzer
doaj   +1 more source

Kinematic Differential Geometry of a Line Trajectory in Spatial Movement

Axioms, 2023
This paper investigates the kinematic differential geometry of a line trajectory in spatial movement. Specifically, we provide a theoretical expression of inflection line congruence, which is the spatial equivalent of the inflection circle of planar ...
Areej A. Almoneef, Rashad A. Abdel-Baky
doaj   +1 more source

A study on a line congruence as surface in the space of lines

AIMS Mathematics, 2021
In this work, we introduce a line congruence as surface in the space of lines in terms of the E. Study map. This provides the ability to derive some formulae of surfaces theory into line spaces.
Rashad A. Abdel-Baky, Monia F. Naghi
doaj   +1 more source

Ethnomathematics: Utilization and Introduction of Geometry Buildings Using Janur (Coconut Leaf)

Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang, 2023
One area of mathematics that requires a good understanding and depiction of abstract concepts is geometry. Therefore it is necessary to apply realistic learning. One type of realistic learning is ethnomathematics.
Dwina Rahayu Saputri, Siti Salamah Br Ginting   +1 more
doaj   +1 more source

Visual Arts in U.S. Geometry Textbooks Aligned with the Common Core Standards

Annales de Didactique et de Sciences Cognitives, 2020
This study investigates visual arts references in five U.S. high school geometry textbooks aligned with the Common Core State Standards for Mathematics. In all of the textbooks, architecture is the most commonly used context. More than half of the visual
Gloriana González
doaj   +1 more source

Association between increased signal intensity at the proximal patellar tendon and patellofemoral geometry in community-based asymptomatic middle-aged adults: a cross-sectional study

BMC Musculoskeletal Disorders, 2020
Background Histological and epidemiological data suggest that increased signal intensity at the proximal patellar tendon on magnetic resonance imaging is a response to tendon loading.
Robert D. Little, Samuel E. Smith, Flavia M. Cicuttini, Stephanie K. Tanamas, Anita E. Wluka, Sultana Monira Hussain, Donna M. Urquhart, Graeme Jones, Yuanyuan Wang   +8 more
doaj   +1 more source