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64 relations: Altitude (triangle), Angle, Apollonius point, Area, Augmented matrix, Bisection, Brianchon's theorem, Brocard triangle, Centre (geometry), Centroid, Cevian, Circle, Circumscribed circle, Cleaver (geometry), Coefficient matrix, Collinearity, Conic section, Consistent and inconsistent equations, Coplanarity, Cyclic quadrilateral, De Longchamps point, Diagonal, Diameter, Duality (projective geometry), Ellipse, Euler line, Ex-tangential quadrilateral, Fermat point, Geometry, Hexagon, Hyperbola, Incenter, Incircle and excircles of a triangle, Independent equation, Inscribed figure, Inscribed sphere, Jacobi's theorem (geometry), Line (geometry), Line–line intersection, Mathematics Magazine, Medial triangle, Median (geometry), Midpoint, Nagel point, Napoleon points, Orthocentric tetrahedron, Pappus's hexagon theorem, Perimeter, Perpendicular, Point (geometry), ..., Projective geometry, Quadrilateral, Rank (linear algebra), Right angle, Rouché–Capelli theorem, Schiffler point, Spieker circle, Splitter (geometry), Tangential quadrilateral, Tarry point, Tetrahedron, The Mathematical Gazette, Triangle, Vertex (geometry). Expand index (14 more) »
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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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.
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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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Area
Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane.
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Augmented matrix
In linear algebra, an augmented matrix is a matrix obtained by appending the columns of two given matrices, usually for the purpose of performing the same elementary row operations on each of the given matrices.
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Bisection
In geometry, bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector.
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Brianchon's theorem
In geometry, Brianchon's theorem is a theorem stating that when a hexagon is circumscribed around a conic section, its principal diagonals (those connecting opposite vertices) meet in a single point.
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Brocard triangle
In geometry, the Brocard triangle of a triangle is a triangle formed by the intersection of lines from a vertex to its corresponding Brocard point and a line from another vertex to its corresponding Brocard point and the other two points constructed using different combinations of vertices and Brocard points.
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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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Cevian
In geometry, a cevian is any line segment in a triangle with one endpoint on a vertex of the triangle and the other endpoint on the opposite side.
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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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Cleaver (geometry)
In geometry, a cleaver of a triangle is a line segment that bisects the perimeter of the triangle and has one endpoint at the midpoint of one of the three sides.
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Coefficient matrix
In linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations.
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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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Conic section
In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane.
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Consistent and inconsistent equations
In mathematics and in particular in algebra, a linear or nonlinear system of equations is consistent if there is at least one set of values for the unknowns that satisfies every equation in the system—that is, that when substituted into each of the equations makes each equation hold true as an identity.
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Coplanarity
In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all.
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Cyclic quadrilateral
In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle.
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De Longchamps point
In geometry, the de Longchamps point of a triangle is a triangle center named after French mathematician Gaston Albert Gohierre de Longchamps.
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Diagonal
In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge.
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Diameter
In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
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Duality (projective geometry)
In geometry, a striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this concept.
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Ellipse
In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.
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Euler line
In geometry, the Euler line, named after Leonhard Euler, is a line determined from any triangle that is not equilateral.
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Ex-tangential quadrilateral
In Euclidean geometry, an ex-tangential quadrilateral is a convex quadrilateral where the extensions of all four sides are tangent to a circle outside the quadrilateral.
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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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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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Hexagon
In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.
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Hyperbola
In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.
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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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Independent equation
An independent equation is an equation in a system of simultaneous equations which cannot be derived algebraically from the other equations.
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Inscribed figure
An inscribed triangle of a circle In geometry, an inscribed planar shape or solid is one that is enclosed by and "fits snugly" inside another geometric shape or solid.
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Inscribed sphere
In geometry, the inscribed sphere or insphere of a convex polyhedron is a sphere that is contained within the polyhedron and tangent to each of the polyhedron's faces.
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Jacobi's theorem (geometry)
In plane geometry, a Jacobi point is a point in the Euclidean plane determined by a triangle ABC and a triple of angles α, β, and γ.
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Line (geometry)
The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth.
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Line–line intersection
In Euclidean geometry, the intersection of a line and a line can be the empty set, a point, or a line.
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Mathematics Magazine
Mathematics Magazine is a refereed bimonthly publication of the Mathematical Association of America.
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Medial triangle
The medial triangle or midpoint triangle of a triangle ABC is the triangle with vertices at the midpoints of the triangle's sides AB, AC and BC.
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Median (geometry)
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposing side, bisecting it.
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Midpoint
In geometry, the midpoint is the middle point of a line segment.
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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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Orthocentric tetrahedron
In geometry, an orthocentric tetrahedron is a tetrahedron where all three pairs of opposite edges are perpendicular.
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Pappus's hexagon theorem
In mathematics, Pappus's hexagon theorem (attributed to Pappus of Alexandria) states that given one set of collinear points A, B, C, and another set of collinear points a, b, c, then the intersection points X, Y, Z of line pairs Ab and aB, Ac and aC, Bc and bC are collinear, lying on the Pappus line.
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Perimeter
A perimeter is a path that surrounds a two-dimensional shape.
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Perpendicular
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees).
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Point (geometry)
In modern mathematics, a point refers usually to an element of some set called a space.
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Projective geometry
Projective geometry is a topic in mathematics.
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Quadrilateral
In Euclidean plane geometry, a quadrilateral is a polygon with four edges (or sides) and four vertices or corners.
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Rank (linear algebra)
In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns.
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Right angle
In geometry and trigonometry, a right angle is an angle of exactly 90° (degrees), corresponding to a quarter turn.
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Rouché–Capelli theorem
The Rouché–Capelli theorem is a theorem in linear algebra that allows computing the number of solutions in a system of linear equations given the rank of its augmented matrix and coefficient matrix.
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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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Spieker circle
In geometry, the incircle of the medial triangle of a triangle is the Spieker circle, named after 19th-century German geometer Theodor Spieker.
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Splitter (geometry)
In plane geometry, a splitter is a line segment through one of the vertices of a triangle (that is, a cevian) that bisects the perimeter of the triangle.
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Tangential quadrilateral
In Euclidean geometry, a tangential quadrilateral (sometimes just tangent quadrilateral) or circumscribed quadrilateral is a convex quadrilateral whose sides are all tangent to a single circle within the quadrilateral.
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Tarry point
In geometry, the Tarry point T for a triangle ABC is a point of concurrency of the lines through the vertices of the triangle perpendicular to the corresponding sides of the triangle's first Brocard triangle DEF.
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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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The Mathematical Gazette
The Mathematical Gazette is an academic journal of mathematics education, published three times yearly, that publishes "articles about the teaching and learning of mathematics with a focus on the 15–20 age range and expositions of attractive areas of mathematics." It was established in 1894 by Edward Mann Langley as the successor to the Reports of the Association for the Improvement of Geometrical Teaching.
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Triangle
A triangle is a polygon with three edges and three vertices.
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Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
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Redirects here:
Concurrent (geometry), Concurrent (mathematics).
References
[1] https://en.wikipedia.org/wiki/Concurrent_lines
