Results 181 to 190 of about 37,514 (226)
Some of the next articles are maybe not open access.
Congruence Geometry for Junior High School
The Mathematics Teacher, 1968Because Euclid did such a superb job in organizing the geometry of the plane, the practice has been to follow his example almost exclusively in preparing elementary and high school materials. The results at the elementary and junior high levels have been limited to a presentation of point-set definitions, with at best a minimal exploration of the ...
Walter J. Sanders, J. Richard Dennis
openaire +1 more source
Factor Geometries and Congruence Relations
1979In this chapter the family of halfspaces of a nonempty linear space is converted into a join system—called a factor geometry—by defining a join operation in it in a natural way. The theory of factor geometries has its roots in the problem of constructing a geometry out of the family of rays that emanate from a given point in a Euclidean space.
Walter Prenowitz, James Jantosciak
openaire +1 more source
On the geometry of null congruences in general relativity
Proceedings of the Indian Academy of Sciences - Section A, 1977Some theorems for the null conguences within the framework of general theory of relativity are given. These theorems are important in themselves as they illustrate the geometric meaning of the spin coefficients. The newly developed Geroch-Held-Penrose (GHP) formalism has been used throughout the investigations.
Zafar Ahsan, Nikhat Parveen Malik
openaire +1 more source
Congruence Extended: A Setting for Activity in Geometry
The Mathematics Teacher, 1976One way to add relevance and interest to a geometry course is to provide opportunities for students to conjecture about possible theorems, to test these conjectures inductively, and then to prove the theorems where appropriate. The following is a brief outline of a unit on congruence of geometric figures for the secondary level (either junior high or ...
Gail Spitler, Marian Weinstein
openaire +1 more source
A foundation of euclidean geometry by means of congruence mappings
Educational Studies in Mathematics, 1971Traditional teaching of geometry has been strongly influenced by the Euclid-Hilbert foundation of geometry. In his refinement of Euclid’s axiomatic system Hilbert1 used as undefined terms: to be a point, to be a line, to be a plane, the incidence relation, the betweenness relation, and the congruence relation (for explicitly defined objects such as ...
openaire +2 more sources
The use of congruence in geometry proofs
The Mathematics Teacher, 1958While “ordered triangles” are a bit unusual, they do provide a fresh way to look at old ideas.
openaire +1 more source
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.
openaire +1 more source
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
openaire +1 more source
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
openaire +2 more sources
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
openaire +1 more source