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62 relations: Acute and obtuse triangles, Algebra over a field, Altitude (triangle), Apollonius point, Barycentric coordinate system, Bijection, Brocard points, Central line (geometry), Centre (geometry), Centroid, Circle, Circumscribed circle, Clark Kimberling, Congruent isoscelizers point, Cyclic permutation, Dilation (metric space), Domain of a function, Encyclopedia of Triangle Centers, Equal parallelians point, Equilateral triangle, Equivariant map, Euclidean geometry, Exeter point, Fermat point, Feuerbach point, Florida Atlantic University, Function (mathematics), Geometry, Greek mathematics, Gyrovector space, Hofstadter points, Homothetic transformation, Hyperbolic geometry, Incenter, Incircle and excircles of a triangle, Isodynamic point, Isoperimetric point, Lexington, Kentucky, Malfatti circles, Mittenpunkt, Morley centers, Nagel point, Napoleon points, Nine-point center, Nine-point circle, Parry point (triangle), Reflection (mathematics), Rotation (mathematics), Scaling (geometry), Schiffler point, ..., Similarity (geometry), Simplex, Spieker center, Square, Steiner point (triangle), Symmedian, Tetrahedron, Translation (geometry), Triangle, Trilinear coordinates, University of Evansville, Yff center of congruence. Expand index (12 more) »
Acute and obtuse triangles
An acute triangle is a triangle with all three angles acute (less than 90°).
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Algebra over a field
In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product.
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Altitude (triangle)
In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex).
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Apollonius point
In triangle geometry, the Apollonius point is a special point associated with a plane triangle.
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Barycentric coordinate system
In geometry, the barycentric coordinate system is a coordinate system in which the location of a point of a simplex (a triangle, tetrahedron, etc.) is specified as the center of mass, or barycenter, of usually unequal masses placed at its vertices.
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Bijection
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.
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Brocard points
In geometry, Brocard points are special points within a triangle.
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Central line (geometry)
In geometry central lines are certain special straight lines associated with a plane triangle and lying in the plane of the triangle.
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Centre (geometry)
In geometry, a centre (or center) (from Greek κέντρον) of an object is a point in some sense in the middle of the object.
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Centroid
In mathematics and physics, the centroid or geometric center of a plane figure is the arithmetic mean position of all the points in the shape.
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Circle
A circle is a simple closed shape.
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Circumscribed circle
In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon.
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Clark Kimberling
Clark Kimberling (born November 7, 1942 in Hinsdale, Illinois) is a mathematician, musician, and composer.
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Congruent isoscelizers point
In geometry the congruent isoscelizers point is a special point associated with a plane triangle.
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Cyclic permutation
In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (that is, mapping to themselves) all other elements of X. If S has k elements, the cycle is called a k-cycle.
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Dilation (metric space)
In mathematics, a dilation is a function f from a metric space into itself that satisfies the identity for all points (x, y), where d(x, y) is the distance from x to y and r is some positive real number.
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Domain of a function
In mathematics, and more specifically in naive set theory, the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined.
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Encyclopedia of Triangle Centers
The Encyclopedia of Triangle Centers (ETC) is an online list of thousands of points or "centers" associated with the geometry of a triangle.
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Equal parallelians point
In geometry, the equal parallelians point (also called congruent parallelians point) is a special point associated with a plane triangle.
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Equilateral triangle
In geometry, an equilateral triangle is a triangle in which all three sides are equal.
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Equivariant map
In mathematics, equivariance is a form of symmetry for functions from one symmetric space to another.
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Euclidean geometry
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.
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Exeter point
In geometry, the Exeter point is a special point associated with a plane triangle.
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Fermat point
In geometry, the Fermat point of a triangle, also called the Torricelli point or Fermat–Torricelli point, is a point such that the total distance from the three vertices of the triangle to the point is the minimum possible.
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Feuerbach point
In the geometry of triangles, the incircle and nine-point circle of a triangle are internally tangent to each other at the Feuerbach point of the triangle.
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Florida Atlantic University
Florida Atlantic University (FAU or Florida Atlantic) is a public university in Boca Raton, Florida, with five satellite campuses in the Florida cities of Dania Beach, Davie, Fort Lauderdale, Jupiter, and in Fort Pierce at the Harbor Branch Oceanographic Institution.
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Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
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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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Greek mathematics
Greek mathematics refers to mathematics texts and advances written in Greek, developed from the 7th century BC to the 4th century AD around the shores of the Eastern Mediterranean.
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Gyrovector space
A gyrovector space is a mathematical concept proposed by Abraham A. Ungar for studying hyperbolic geometry in analogy to the way vector spaces are used in Euclidean geometry.
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Hofstadter points
In triangle geometry, a Hofstadter point is a special point associated with every plane triangle.
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Homothetic transformation
In mathematics, a homothety (or homothecy, or homogeneous dilation) is a transformation of an affine space determined by a point S called its center and a nonzero number λ called its ratio, which sends in other words it fixes S, and sends any M to another point N such that the segment SN is on the same line as SM, but scaled by a factor λ. In Euclidean geometry homotheties are the similarities that fix a point and either preserve (if) or reverse (if) the direction of all vectors.
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Hyperbolic geometry
In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.
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Incenter
In geometry, the incenter of a triangle is a triangle center, a point defined for any triangle in a way that is independent of the triangle's placement or scale.
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Incircle and excircles of a triangle
In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides.
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Isodynamic point
In Euclidean geometry, the isodynamic points of a triangle are points associated with the triangle, with the properties that an inversion centered at one of these points transforms the given triangle into an equilateral triangle, and that the distances from the isodynamic point to the triangle vertices are inversely proportional to the opposite side lengths of the triangle.
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Isoperimetric point
In geometry, the isoperimetric point is a special point associated with a plane triangle.
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Lexington, Kentucky
Lexington, consolidated with Fayette County and often denoted as Lexington-Fayette, is the second-largest city in Kentucky and the 60th-largest city in the United States.
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Malfatti circles
In geometry, the Malfatti circles are three circles inside a given triangle such that each circle is tangent to the other two and to two sides of the triangle.
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Mittenpunkt
In geometry, the mittenpunkt (German, middlespoint) of a triangle is a triangle center: a point defined from the triangle that is invariant under Euclidean transformations of the triangle.
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Morley centers
In geometry the Morley centers are two special points associated with a plane triangle.
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Nagel point
In geometry, the Nagel point is a triangle center, one of the points associated with a given triangle whose definition does not depend on the placement or scale of the triangle.
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Napoleon points
In geometry, Napoleon points are a pair of special points associated with a plane triangle.
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Nine-point center
In geometry, the nine-point center is a triangle center, a point defined from a given triangle in a way that does not depend on the placement or scale of the triangle.
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Nine-point circle
In geometry, the nine-point circle is a circle that can be constructed for any given triangle.
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Parry point (triangle)
In geometry, the Parry point is a special point associated with a plane triangle.
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Reflection (mathematics)
In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection.
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Rotation (mathematics)
Rotation in mathematics is a concept originating in geometry.
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Scaling (geometry)
In Euclidean geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions.
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Schiffler point
In geometry, the Schiffler point of a triangle is a triangle center, a point defined from the triangle that is equivariant under Euclidean transformations of the triangle.
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Similarity (geometry)
Two geometrical objects are called similar if they both have the same shape, or one has the same shape as the mirror image of the other.
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Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
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Spieker center
In geometry, the Spieker center is a special point associated with a plane triangle.
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Square
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.
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Steiner point (triangle)
In triangle geometry, the Steiner point is a particular point associated with a plane triangle.
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Symmedian
In geometry, symmedians are three particular geometrical lines associated with every triangle.
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Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
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Translation (geometry)
In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.
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Triangle
A triangle is a polygon with three edges and three vertices.
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Trilinear coordinates
In geometry, the trilinear coordinates x:y:z of a point relative to a given triangle describe the relative directed distances from the three sidelines of the triangle.
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University of Evansville
The University of Evansville (UE) is a small, private university in Evansville, Indiana, with approximately 2,500 students.
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Yff center of congruence
In geometry, the Yff center of congruence is a special point associated with a triangle.
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Redirects here:
Center function, Triangle center function, Triangle centre, Triangle centre function.
References
[1] https://en.wikipedia.org/wiki/Triangle_center
