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35 relations: Addison-Wesley, Axiom, Binary relation, Ceva's theorem, Commutative property, Concurrent lines, Concyclic points, Desargues's theorem, Determinant, Division ring, Dot product, Field (mathematics), Geometry, Hilbert's axioms, Homogeneous coordinates, Incidence algebra, Incidence geometry, Incidence matrix, Incidence structure, Levi graph, Linear algebra, Linear subspace, Menelaus's theorem, Parallel (geometry), Prentice Hall, Projective geometry, Projective plane, Projective range, Projective space, Subset, Symmetric relation, Synthetic geometry, Triple product, Two-dimensional space, Vector space.
Addison-Wesley
Addison-Wesley is a publisher of textbooks and computer literature.
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Axiom
An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
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Binary relation
In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.
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Ceva's theorem
Ceva's theorem is a theorem about triangles in Euclidean plane geometry.
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Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
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Concurrent lines
In geometry, three or more lines in a plane or higher-dimensional space are said to be concurrent if they intersect at a single point.
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Concyclic points
In geometry, a set of points are said to be concyclic (or cocyclic) if they lie on a common circle.
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Desargues's theorem
In projective geometry, Desargues's theorem, named after Girard Desargues, states: Denote the three vertices of one triangle by and, and those of the other by and.
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Determinant
In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.
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Division ring
In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible.
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Dot product
In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.
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Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
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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.
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Hilbert's axioms
Hilbert's axioms are a set of 20 assumptions proposed by David Hilbert in 1899 in his book Grundlagen der Geometrie (tr. The Foundations of Geometry) as the foundation for a modern treatment of Euclidean geometry.
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Homogeneous coordinates
In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcül, are a system of coordinates used in projective geometry, as Cartesian coordinates are used in Euclidean geometry.
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Incidence algebra
In order theory, a field of mathematics, an incidence algebra is an associative algebra, defined for every locally finite partially ordered set and commutative ring with unity.
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Incidence geometry
In mathematics, incidence geometry is the study of incidence structures.
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Incidence matrix
In mathematics, an incidence matrix is a matrix that shows the relationship between two classes of objects.
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Incidence structure
In mathematics, an abstract system consisting of two types of objects and a single relationship between these types of objects is called an incidence structure.
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Levi graph
In combinatorial mathematics, a Levi graph or incidence graph is a bipartite graph associated with an incidence structure.
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Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.
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Linear subspace
In linear algebra and related fields of mathematics, a linear subspace, also known as a vector subspace, or, in the older literature, a linear manifold, is a vector space that is a subset of some other (higher-dimension) vector space.
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Menelaus's theorem
Menelaus's theorem, named for Menelaus of Alexandria, is a proposition about triangles in plane geometry.
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Parallel (geometry)
In geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel.
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Prentice Hall
Prentice Hall is a major educational publisher owned by Pearson plc.
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Projective geometry
Projective geometry is a topic in mathematics.
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Projective plane
In mathematics, a projective plane is a geometric structure that extends the concept of a plane.
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Projective range
In mathematics, a projective range is a set of points in projective geometry considered in a unified fashion.
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Projective space
In mathematics, a projective space can be thought of as the set of lines through the origin of a vector space V. The cases when and are the real projective line and the real projective plane, respectively, where R denotes the field of real numbers, R2 denotes ordered pairs of real numbers, and R3 denotes ordered triplets of real numbers.
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Subset
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.
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Symmetric relation
In mathematics and other areas, a binary relation R over a set X is symmetric if it holds for all a and b in X that a is related to b if and only if b is related to a. In mathematical notation, this is: Symmetry, along with reflexivity and transitivity, are the three defining properties of an equivalence relation.
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Synthetic geometry
Synthetic geometry (sometimes referred to as axiomatic or even pure geometry) is the study of geometry without the use of coordinates or formulas.
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Triple product
In vector algebra, a branch of mathematics, the triple product is a product of three 3-dimensional vectors, usually Euclidean vectors.
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Two-dimensional space
Two-dimensional space or bi-dimensional space is a geometric setting in which two values (called parameters) are required to determine the position of an element (i.e., point).
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Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
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References
[1] https://en.wikipedia.org/wiki/Incidence_(geometry)
