Search

Your search keyword '"Hyperbolic triangle"' showing total 12 results
Start Over Descriptor "Hyperbolic triangle" Journal the american mathematical monthly
12 results on '"Hyperbolic triangle"'

1. The Hyperbolic Pythagorean Theorem in the Poincaré Disc Model of Hyperbolic Geometry

Author

Abraham A. Ungar

Subjects
Pure mathematics, Mathematics::Dynamical Systems, General Mathematics, Hyperbolic space, Hyperbolic function, Mathematical analysis, Hyperbolic manifold, Ultraparallel theorem, Hyperbolic motion, Mathematics::Geometric Topology, Relatively hyperbolic group, Hyperbolic angle, Hyperbolic triangle, Mathematics
Abstract

(1999). The Hyperbolic Pythagorean Theorem in the Poincare Disc Model of Hyperbolic Geometry. The American Mathematical Monthly: Vol. 106, No. 8, pp. 759-763.

Published
1999
Full Text
View/download PDF

2. Hyperbolic Geometry on a Hyperboloid

Author

William F. Reynolds

Subjects
General Mathematics, Hyperbolic geometry, 010102 general mathematics, Mathematical analysis, Ultraparallel theorem, Geometry, Hyperbolic motion, 01 natural sciences, Hyperbolic coordinates, Hyperboloid model, 0103 physical sciences, Hyperbolic angle, Pseudosphere, 010307 mathematical physics, 0101 mathematics, Hyperbolic triangle, Mathematics
Abstract

(1993). Hyperbolic Geometry on a Hyperboloid. The American Mathematical Monthly: Vol. 100, No. 5, pp. 442-455.

Published
1993
Full Text
View/download PDF

3. Arnol’d, the Jacobi Identity, and Orthocenters

Author

Nikolai V. Ivanov

Subjects
Jacobi identity, Pure mathematics, Property (philosophy), Plane (geometry), General Mathematics, Computer Science::Computational Geometry, Combinatorics, symbols.namesake, Euclidean geometry, symbols, Mathematics::Metric Geometry, Single point, Hyperbolic triangle, Mathematics
Abstract

The three altitudes of a plane triangle pass through a single point, called the orthocenter of the triangle. This property holds literally in Euclidean geometry, and, properly interpreted, also in ...

Published
2011
Full Text
View/download PDF

4. Coordinates for the Hyperbolic Plane: 10554

Author

Raphael M. Robinson and Robin Chapman

Subjects
Physics, Orthogonal coordinates, General Mathematics, Hyperbolic angle, Ultraparallel theorem, Geometry, Line coordinates, Hyperbolic motion, Hyperbolic triangle, Hyperbolic coordinates, Bipolar coordinates
Published
1998
Full Text
View/download PDF

5. The Upper Half Plane Model for Hyperbolic Geometry

Author

Richard S. Millman

Subjects
General Mathematics, Hyperbolic geometry, Hyperbolic space, Mathematical analysis, Upper half-plane, Hyperbolic angle, Ultraparallel theorem, Geometry, Hyperbolic motion, Beltrami–Klein model, Hyperbolic triangle, Mathematics
Abstract

(1980). The Upper Half Plane Model for Hyperbolic Geometry. The American Mathematical Monthly: Vol. 87, No. 1, pp. 48-53.

Published
1980
Full Text
View/download PDF

7. The Geometry of the Triangle in the Kasner Plane

Author

Emanuel Mehr

Subjects
Physics, Plane (geometry), General Mathematics, Inversive geometry, Isosceles triangle, Geometry, Sum of angles of a triangle, Cubic plane curve, Hyperbolic triangle
Abstract

(1941). The Geometry of the Triangle in the Kasner Plane. The American Mathematical Monthly: Vol. 48, No. 8P1, pp. 535-539.

Published
1941
Full Text
View/download PDF

9. The Hilbert Model of Hyperbolic Geometry

Author

H. Guggenheimer

Subjects
Hilbert manifold, Non-Euclidean geometry, Hyperbolic geometry, General Mathematics, Mathematical analysis, Ordered geometry, Hyperbolic manifold, Ultraparallel theorem, Hyperbolic motion, Hyperbolic triangle, Mathematics
Abstract

(1981). The Hilbert Model of Hyperbolic Geometry. The American Mathematical Monthly: Vol. 88, No. 10, pp. 744-748.

Published
1981
Full Text
View/download PDF

12. A New Model of the Hyperbolic Plane

Author

David Gans

Subjects
Hyperbolic law of cosines, General Mathematics, Mathematical analysis, Hyperbolic function, Hyperbolic angle, Hyperbolic manifold, Ultraparallel theorem, Hyperbolic triangle, Hyperbolic coordinates, Mathematics, Inverse hyperbolic function
Published
1966
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results