Affine geometry & Parallel (geometry) - Unionpedia, the concept map
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Difference between Affine geometry and Parallel (geometry)
Affine geometry vs. Parallel (geometry)
In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance and angle. In geometry, parallel lines are coplanar infinite straight lines that do not intersect at any point.
Similarities between Affine geometry and Parallel (geometry)
Affine geometry and Parallel (geometry) have 17 things in common (in Unionpedia): Affine plane (incidence geometry), Collinearity, Congruence (geometry), D. Reidel, Emil Artin, Equivalence relation, Euclidean geometry, Geometry, Harold Scott MacDonald Coxeter, Internet Archive, Non-Euclidean geometry, Parallel postulate, Playfair's axiom, Primitive notion, Projective geometry, Three-dimensional space, Wiley (publisher).
Affine plane (incidence geometry)
In geometry, an affine plane is a system of points and lines that satisfy the following axioms.
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Collinearity
In geometry, collinearity of a set of points is the property of their lying on a single line.
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Congruence (geometry)
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
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D. Reidel
D.
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Emil Artin
Emil Artin (March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent.
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Equivalence relation
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.
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Euclidean geometry
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.
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Geometry
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.
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Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter (9 February 1907 – 31 March 2003) was a British-Canadian geometer and mathematician.
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Internet Archive
The Internet Archive is an American nonprofit digital library founded in 1996 by Brewster Kahle.
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Non-Euclidean geometry
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry.
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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.
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Playfair's axiom
In geometry, Playfair's axiom is an axiom that can be used instead of the fifth postulate of Euclid (the parallel postulate): In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point. It is equivalent to Euclid's parallel postulate in the context of Euclidean geometry and was named after the Scottish mathematician John Playfair.
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Primitive notion
In mathematics, logic, philosophy, and formal systems, a primitive notion is a concept that is not defined in terms of previously-defined concepts.
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Projective geometry
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations.
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Three-dimensional space
In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates) are required to determine the position of a point.
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Wiley (publisher)
John Wiley & Sons, Inc., commonly known as Wiley, is an American multinational publishing company that focuses on academic publishing and instructional materials.
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The list above answers the following questions
- What Affine geometry and Parallel (geometry) have in common
- What are the similarities between Affine geometry and Parallel (geometry)
Affine geometry and Parallel (geometry) Comparison
Affine geometry has 134 relations, while Parallel (geometry) has 83. As they have in common 17, the Jaccard index is 7.83% = 17 / (134 + 83).
References
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