Similarities between Absolute geometry and Hyperbolic geometry
Absolute geometry and Hyperbolic geometry have 12 things in common (in Unionpedia): Angle, Elliptic geometry, Euclid's Elements, Euclidean geometry, Geometry, Hyperbolic geometry, János Bolyai, Minkowski space, Non-Euclidean geometry, Parallel postulate, Saccheri quadrilateral, Spherical geometry.
Angle
In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Absolute geometry and Angle · Angle and Hyperbolic geometry ·
Elliptic geometry
Elliptic geometry is a geometry in which Euclid's parallel postulate does not hold.
Absolute geometry and Elliptic geometry · Elliptic geometry and Hyperbolic geometry ·
Euclid's Elements
The Elements (Στοιχεῖα Stoicheia) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC.
Absolute geometry and Euclid's Elements · Euclid's Elements and Hyperbolic geometry ·
Euclidean geometry
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.
Absolute geometry and Euclidean geometry · Euclidean geometry and Hyperbolic geometry ·
Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
Absolute geometry and Geometry · Geometry and Hyperbolic geometry ·
Hyperbolic geometry
In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.
Absolute geometry and Hyperbolic geometry · Hyperbolic geometry and Hyperbolic geometry ·
János Bolyai
János Bolyai (15 December 1802 – 27 January 1860) or Johann Bolyai, was a Hungarian mathematician, one of the founders of non-Euclidean geometry — a geometry that differs from Euclidean geometry in its definition of parallel lines.
Absolute geometry and János Bolyai · Hyperbolic geometry and János Bolyai ·
Minkowski space
In mathematical physics, Minkowski space (or Minkowski spacetime) is a combining of three-dimensional Euclidean space and time into a four-dimensional manifold where the spacetime interval between any two events is independent of the inertial frame of reference in which they are recorded.
Absolute geometry and Minkowski space · Hyperbolic geometry and Minkowski space ·
Non-Euclidean geometry
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry.
Absolute geometry and Non-Euclidean geometry · Hyperbolic geometry and Non-Euclidean geometry ·
Parallel postulate
In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's ''Elements'', is a distinctive axiom in Euclidean geometry.
Absolute geometry and Parallel postulate · Hyperbolic geometry and Parallel postulate ·
Saccheri quadrilateral
A Saccheri quadrilateral (also known as a Khayyam–Saccheri quadrilateral) is a quadrilateral with two equal sides perpendicular to the base.
Absolute geometry and Saccheri quadrilateral · Hyperbolic geometry and Saccheri quadrilateral ·
Spherical geometry
Spherical geometry is the geometry of the two-dimensional surface of a sphere.
Absolute geometry and Spherical geometry · Hyperbolic geometry and Spherical geometry ·
The list above answers the following questions
- What Absolute geometry and Hyperbolic geometry have in common
- What are the similarities between Absolute geometry and Hyperbolic geometry
Absolute geometry and Hyperbolic geometry Comparison
Absolute geometry has 31 relations, while Hyperbolic geometry has 175. As they have in common 12, the Jaccard index is 5.83% = 12 / (31 + 175).
References
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