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THE HISTORICAL DEVELOPMENT OF NON-EUCLIDEAN GEOMETRY
Book Chapter
THE HISTORICAL DEVELOPMENT OF NON-EUCLIDEAN GEOMETRY
(pp. 1-15)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Parallel lines
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Geometric planes
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Triangles
,
Euclidean space
,
Logical postulates
,
Lines in space
,
Perpendicular lines
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ELLIPTIC GEOMETRY IN TWO DIMENSIONS
Book Chapter
ELLIPTIC GEOMETRY IN TWO DIMENSIONS
(pp. 109-127)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Axes of rotation
,
Elliptic geometry
,
Circles
,
Quaternions
,
Perpendicular lines
,
Geometric planes
,
Triangles
,
Sine function
,
Spheres
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CONCLUDING REMARKS
Book Chapter
CONCLUDING REMARKS
(pp. 267-298)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Triangles
,
Geometric planes
,
Parallel lines
,
Sine function
,
Perpendicular lines
,
Euclidean space
,
Symmetry
,
Acute angles
,
Skew lines
,
Tetrahedrons
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REAL PROJECTIVE GEOMETRY: POLARITIES, CONICS AND QUADRICS
Book Chapter
REAL PROJECTIVE GEOMETRY: POLARITIES, CONICS AND QUADRICS
(pp. 48-70)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Geometric planes
,
Conic sections
,
Projective geometry
,
Tangents
,
Vertices
,
Conjugate points
,
Triangles
,
Tetrahedrons
,
Collinear points
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ELLIPTIC GEOMETRY IN THREE DIMENSIONS
Book Chapter
ELLIPTIC GEOMETRY IN THREE DIMENSIONS
(pp. 128-156)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Geometric planes
,
Axes of rotation
,
Perpendicular lines
,
Elliptic geometry
,
Tetrahedrons
,
Lines in space
,
Householder transformations
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EUCLIDEAN MODELS
Book Chapter
EUCLIDEAN MODELS
(pp. 252-266)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Geometric planes
,
Hyperbolas
,
Circles
,
Curvature
,
Euclidean space
,
Coordinate systems
,
Hyperbolic geometry
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HYPERBOLIC GEOMETRY IN TWO DIMENSIONS
Book Chapter
HYPERBOLIC GEOMETRY IN TWO DIMENSIONS
(pp. 199-212)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Parallel lines
,
Infinity
,
Perpendicular lines
,
Hyperbolic geometry
,
Geometric planes
,
Projective geometry
,
Conic sections
,
Triangles
,
Geometric translations
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HOMOGENEOUS COORDINATES
Book Chapter
HOMOGENEOUS COORDINATES
(pp. 71-94)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Collinear points
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Integers
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DESCRIPTIVE GEOMETRY
Book Chapter
DESCRIPTIVE GEOMETRY
(pp. 157-178)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Geometric planes
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Projective geometry
,
Parallel lines
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Axioms
,
Infinity
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Lines in space
,
Mathematical theorems
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CIRCLES AND TRIANGLES
Book Chapter
CIRCLES AND TRIANGLES
(pp. 213-223)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Circles
,
Triangles
,
Geometric planes
,
Infinity
,
Hyperbolic geometry
,
Elliptic geometry
,
Projective geometry
,
Tangents
,
Curves
,
Loci
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ELLIPTIC GEOMETRY IN ONE DIMENSION
Book Chapter
ELLIPTIC GEOMETRY IN ONE DIMENSION
(pp. 95-108)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Elliptic geometry
,
Geometric planes
,
Geometric lines
,
Infinity
,
Mathematical theorems
,
Euclidean space
,
Circles
,
Axioms
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REAL PROJECTIVE GEOMETRY: FOUNDATIONS
Book Chapter
REAL PROJECTIVE GEOMETRY: FOUNDATIONS
(pp. 16-47)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Geometric planes
,
Projective geometry
,
Axioms
,
Mathematical theorems
,
Vertices
,
Lines in space
,
Triangles
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EUCLIDEAN AND HYPERBOLIC GEOMETRY
Book Chapter
EUCLIDEAN AND HYPERBOLIC GEOMETRY
(pp. 179-198)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Geometric planes
,
Perpendicular lines
,
Infinity
,
Parallel lines
,
Triangles
,
Axioms
,
Mathematical congruence
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AREA
Book Chapter
AREA
(pp. 241-251)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Triangles
,
Geometric planes
,
Infinity
,
Coordinate systems
,
Sine function
,
Elliptic geometry
,
Circles
,
Hyperbolic geometry
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THE USE OF A GENERAL TRIANGLE OF REFERENCE
Book Chapter
THE USE OF A GENERAL TRIANGLE OF REFERENCE
(pp. 224-240)
From:
Non-Euclidean Geometry
H. S. M. COXETER
Edition: 1
Mathematical Association of America
(1998)
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Topics:
Sine function
,
Triangles
,
Circles
,
Coordinate systems
,
Trigonometry
,
Hyperbolic geometry
,
Vertices
,
Geometric lines
,
Centroids
,
Elliptic geometry
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The Non-Euclidean Symmetry of Escher's Picture 'Circle Limit III'
Journal Article
The Non-Euclidean Symmetry of Escher's Picture 'Circle Limit III'
H. S. M. Coxeter
Leonardo
, Vol. 12, No. 1 (Winter, 1979), pp. 19-25
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Topics:
Triangles
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Vertices
,
Tessellations
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Symmetry
,
Geometric planes
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Circles
,
Octagons
,
Hexagons
,
Woodcuts
,
Hyperbolic geometry
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Regular Compound Tessellations of the Hyperbolic Plane
Journal Article
Regular Compound Tessellations of the Hyperbolic Plane
H. S. M. Coxeter
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
, Vol. 278, No. 1373 (Mar. 24, 1964), pp. 147-167
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Topics:
Vertices
,
Tessellations
,
Triangles
,
Geometric planes
,
Euclidean space
,
Tetrahedrons
,
Pentagons
,
Cubes
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The Problem of Apollonius
Journal Article
The Problem of Apollonius
H. S. M. Coxeter
The American Mathematical Monthly
, Vol. 75, No. 1 (Jan., 1968), pp. 5-15
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Topics:
Circles
,
Tangents
,
Apollonian
,
Geometric planes
,
Mathematical theorems
,
Euclidean space
,
Projective geometry
,
Lines in space
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On Wigner's Problem of Reflected Light Signals in de Sitter Space
Journal Article
On Wigner's Problem of Reflected Light Signals in de Sitter Space
H. S. M. Coxeter
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
, Vol. 261, No. 1307 (May 23, 1961), pp. 435-442
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Topics:
Conic sections
,
Sine function
,
Geometric planes
,
Hyperboloids
,
Tangents
,
Optical reflection
,
Signal reflection
,
Parallel lines
,
Signals
,
Triangles
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The four-color map problem, 1840-1890
Journal Article
The four-color map problem, 1840-1890
H. S. M. Coxeter
The Mathematics Teacher
, Vol. 52, No. 4 (APRIL 1959), pp. 283-289
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Topics:
Maps
,
Vertices
,
Geometric planes
,
Value theorems
,
Mathematics teachers
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Twelve Points in PG(5, 3) with 95040 Self-Transformations
Journal Article
Twelve Points in PG(5, 3) with 95040 Self-Transformations
H. S. M. Coxeter
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
, Vol. 247, No. 1250 (Sep. 30, 1958), pp. 279-293
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Topics:
Vertices
,
Hyperplanes
,
Automorphisms
,
Tangents
,
Octagons
,
Pentagons
,
Symmetry
,
Tetrahedrons
,
Mathematical transitivity
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The Mathematics of Map Coloring
Journal Article
The Mathematics of Map Coloring
H. S. M. Coxeter
Leonardo
, Vol. 4, No. 3 (Summer, 1971), pp. 273-277
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Topics:
Maps
,
Vertices
,
Astronomical maps
,
Geometric planes
,
Mathematical theorems
,
Neighborhoods
,
Planar graphs
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Inversive Geometry
Journal Article
Inversive Geometry
H. S. M. Coxeter
Educational Studies in Mathematics
, Vol. 3, No. 3/4, Lectures of the Comprehensive School Mathematics Project (CSMP). Conference on the Teaching of Geometry (Jun., 1971), pp. 310-321
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Topics:
Circles
,
Tangents
,
Geometric planes
,
Projective geometry
,
Infinity
,
Geometric centers
,
Parallel lines
,
Axioms
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Portraits of a Family of Complex Polytopes
Journal Article
Portraits of a Family of Complex Polytopes
H. S. M. Coxeter
,
G. C. Shephard
Leonardo
, Vol. 25, No. 3/4, Visual Mathematics: Special Double Issue (1992), pp. 239-244
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Topics:
Vertices
,
Projection of vectors
,
Polyhedrons
,
Coordinate systems
,
Mathematical vectors
,
Geometric planes
,
Complex numbers
,
Hexagons
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MUSIC AND MATHEMATICS
Journal Article
MUSIC AND MATHEMATICS
H. S. M. Coxeter
The Mathematics Teacher
, Vol. 61, No. 3 (MARCH 1968), pp. 312-320
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Topics:
Musical keys
,
Mathematics teachers
,
Major intervals
,
Mathematical theorems
,
Physics
,
Violins
,
Composers
,
Ratios
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