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67 relations: Altitude (triangle), Arc (geometry), Bisection, Centre (geometry), Centroid, Chord (geometry), Circle, Circumscribed circle, Closed set, Conic section, Connected space, Convex combination, Convex hull, CRC Press, Curve, David Hilbert, Degenerate conic, Diagonal, Diameter, Edge (geometry), Ellipse, Empty set, Equality (mathematics), Equipollence (geometry), Equivalence relation, Euclidean vector, Extended side, Focus (geometry), Force, Geometric shape, Geometry, Giusto Bellavitis, If and only if, Incenter, Intersection (Euclidean geometry), Interval (mathematics), Line (geometry), Line segment intersection, List of triangle inequalities, Marcel Dekker, Mathematical physics, Median (geometry), Midpoint, Nine-point center, Open set, Ordered geometry, Orientation (vector space), Parallel (geometry), Perpendicular, PlanetMath, ..., Point (geometry), Polygon, Polygonal chain, Polyhedron, Quadrilateral, Radius, Segment addition postulate, Set (mathematics), Skew lines, Spirangle, Subset, Topological vector space, Translation (geometry), Triangle, Triangle center, Vector space, Vertex (geometry). Expand index (17 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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Arc (geometry)
In Euclidean geometry, an arc (symbol: ⌒) is a closed segment of a differentiable curve.
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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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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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Chord (geometry)
A chord of a circle is a straight line segment whose endpoints both lie on the circle.
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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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Closed set
In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.
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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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Connected space
In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets.
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Convex combination
In convex geometry, a convex combination is a linear combination of points (which can be vectors, scalars, or more generally points in an affine space) where all coefficients are non-negative and sum to 1.
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Convex hull
In mathematics, the convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X., p. 3.
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CRC Press
The CRC Press, LLC is a publishing group based in the United States that specializes in producing technical books.
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Curve
In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but that need not be straight.
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David Hilbert
David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.
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Degenerate conic
In geometry, a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.
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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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Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.
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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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Empty set
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
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Equality (mathematics)
In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
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Equipollence (geometry)
In Euclidean geometry, equipollence is a binary relation between directed line segments.
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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 vector
In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.
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Extended side
In plane geometry, an extended side or sideline of a polygon is the line that contains one side of the polygon.
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Focus (geometry)
In geometry, focuses or foci, singular focus, are special points with reference to which any of a variety of curves is constructed.
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Force
In physics, a force is any interaction that, when unopposed, will change the motion of an object.
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Geometric shape
A geometric shape is the geometric information which remains when location, scale, orientation and reflection are removed from the description of a geometric object.
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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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Giusto Bellavitis
Giusto Bellavitis (22 November 1803 – 6 November 1880) was an Italian mathematician, senator, and municipal councilor.
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If and only if
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
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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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Intersection (Euclidean geometry)
In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces).
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Interval (mathematics)
In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.
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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 segment intersection
In computational geometry, the line segment intersection problem supplies a list of line segments in the Euclidean plane and asks whether any two of them intersect (cross).
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List of triangle inequalities
In geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold for every triangle, or for every triangle meeting certain conditions.
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Marcel Dekker
Marcel Dekker was a journal and encyclopedia publishing company with editorial boards found in New York, New York.
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Mathematical physics
Mathematical physics refers to the development of mathematical methods for application to problems in physics.
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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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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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Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
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Ordered geometry
Ordered geometry is a form of geometry featuring the concept of intermediacy (or "betweenness") but, like projective geometry, omitting the basic notion of measurement.
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Orientation (vector space)
In mathematics, orientation is a geometric notion that in two dimensions allows one to say when a cycle goes around clockwise or counterclockwise, and in three dimensions when a figure is left-handed or right-handed.
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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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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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PlanetMath
PlanetMath is a free, collaborative, online mathematics encyclopedia.
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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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Polygon
In elementary geometry, a polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.
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Polygonal chain
In geometry, a polygonal chain is a connected series of line segments.
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Polyhedron
In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
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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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Radius
In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
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Segment addition postulate
In geometry, the Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC.
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Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
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Skew lines
In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel.
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Spirangle
In geometry, a spirangle is a figure related to a spiral.
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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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Topological vector space
In mathematics, a topological vector space (also called a linear topological space) is one of the basic structures investigated in functional analysis.
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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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Triangle center
In geometry, a triangle center (or triangle centre) is a point in the plane that is in some sense a center of a triangle akin to the centers of squares and circles, i.e. a point that is in the middle of the figure by some measure.
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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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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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Closed line segment, Half-open line segment, Line Segment, Line Segment (geometry), Line segments, Line-segment, Open line segment, Segment (geometry), Segment (mathematics), Straight line between two points, Straight line segment.
References
[1] https://en.wikipedia.org/wiki/Line_segment
