Results 261 to 270 of about 37,802 (311)

Autodesmotic reactions for general strain energy evaluation in polycyclic aromatic nanocarbons. [PDF]

Commun Chem
Wang Y.
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Influence of the screw-home mechanism on TT-TG distance: a 3D kinematic simulation study. [PDF]

Eur J Orthop Surg Traumatol
Jörgens M, Fürmetz J, Bormann M, Böcker W, Holzapfel BM, Siebenlist S, Watrinet J.   +6 more
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On the Differntial Geometry of a Line Congruence

On the Differntial Geometry of a Line Congruence
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Congruence Geometry for Junior High School

The Mathematics Teacher, 1968
Because 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
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Geometry of flat-space null geodesic congruences

General Relativity and Gravitation, 2020
The author studies the general explicit generic expression for null geodesic congruences. From each congruence the construction of a virtually unique form of the flat Lorentzian metric that is associated with the congruence is established. Also, the optical parameters for each congruence are calculated, and the important cases of the shear-free ...
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Factor Geometries and Congruence Relations

1979
In 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
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On the geometry of null congruences in general relativity

Proceedings of the Indian Academy of Sciences - Section A, 1977
Some 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
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Congruence Extended: A Setting for Activity in Geometry

The Mathematics Teacher, 1976
One 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
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A foundation of euclidean geometry by means of congruence mappings

Educational Studies in Mathematics, 1971
Traditional 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 ...
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The use of congruence in geometry proofs

The Mathematics Teacher, 1958
While “ordered triangles” are a bit unusual, they do provide a fresh way to look at old ideas.
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