(1) In plane geometry, the diameter is the straight-line distance between two points opposite one another across the center of a circle. Three or more points are said to be collinear if they lie on the same straight line.Ĭomplementary angles are a pair of angles whose measures add up to 90 degrees. The circumference of a circle is the length of its perimeter. High-Dimensional Solids High-Dimensional Solid:Ī high-dimensional solid generalization of a solid such as a cube or a sphere to more than three dimensions.Ī hypercube is a generalization of a cube to more than three dimensions.Ī hyperplane is a generalization of a plane to more than two dimensions.Ī hypersphere is a generalization of a sphere to more than three dimensions.Ī polytope is a generalization of a polyhedron to more than three dimensions.Īn acute angle is an angle that measures less than 90 degrees.Īn altitude of a triangle is a line segment from one of its vertices which meets the opposite side at a right angle.Īn angle is a measure of the amount of rotation about the point of intersection of two lines or line segments that is required to bring one into correspondence with the other.Īrea is a measure of the amount of material that would be needed to "cover" a surface completely.Ī circle is the set of points in a plane that are equidistant from a given center point. In geometry, two figures are said to be similar when their corresponding angles are all equal and their distances are all scaled by the same ratio. (3) In linear algebra, a linear function is a function that satisies f( x + y) = f( x) + f( y) and f( a x) = a f( x). (2) In calculus, a linear function is a function whose graph is a straight line. (1) In geometry, a linear function is a function of the form y = m x + b. This contrasts with algebra, which studies numerical quantities and attempts to solve equations. Geometry is the branch of mathematics that studies figures, objects, and their relationships to each other. (2) In number theory, two integers are said to be congruent if their difference is divisible by a given modulus. (1) In geometry, two figures are said to be congruent if one can be transformed into the other via a distance preserving map. To learn more about a topic listed below, click the topic name to go to the
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