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. Informally, any...

In Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and...

In algebraic geometry, given a morphism of schemes p : X → S {\displaystyle p:X\to S} , the diagonal morphism δ : X → X × S X {\displaystyle \delta :X\to...

In geometry, a space diagonal (also interior diagonal or body diagonal) of a polyhedron is a line connecting two vertices that are not on the same face...

In geometry, a vertex (pl.: vertices or vertexes) is a point where two or more curves, lines, or edges meet or intersect. As a consequence of this definition...

connecting lines and three additional "diagonal points" determined by their intersections. The science of projective geometry captures this surplus determined...

Cantor's diagonal argument (among various similar names) is a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence...

\left[{\begin{smallmatrix}0.5&0\\0&0.5\end{smallmatrix}}\right]} . In geometry, a diagonal matrix may be used as a scaling matrix, since matrix multiplication...

non-defective if it is similar to a diagonal matrix. That is, if there exists an invertible matrix P {\displaystyle P}  and a diagonal matrix D {\displaystyle D}...

Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') is a branch of mathematics...

In Euclidean geometry, a square is a regular quadrilateral, which means that it has four straight sides of equal length and four equal angles (90-degree...

In geometry, a cube or regular hexahedron is a three-dimensional solid object bounded by six congruent square faces, a type of polyhedron. It has twelve...

In plane Euclidean geometry, a rhombus (pl.: rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral...

_{i=1}^{n}|p_{i}|=1.} In two dimensional taxicab geometry, the sphere (called a circle) is a square oriented diagonally to the coordinate axes. The image to the...

Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") arose as the field of knowledge dealing with spatial relationships. Geometry...

In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between...

In geometry, a face diagonal of a polyhedron is a diagonal on one of the faces, in contrast to a space diagonal passing through the interior of the polyhedron...

In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature, an idealization of such physical...

non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the...

arranged in vertical stripes. Triangular (Delta) Stripes Diagonal Knowledge of the pixel geometry used by a display may be used to create raster images of...

Coxeter and S. L. Greitzer, Geometry Revisited, MAA, 1967, pp. 52–53. "Mateescu Constantin, Answer to Inequality Of Diagonal". C. V. Durell & A. Robson...

two diagonals are equal in length. It has two lines of reflectional symmetry and rotational symmetry of order 2 (through 180°). In spherical geometry, a...

Education Geometry Problem 747: Trapezoid, Diagonals, Parallel, Bases, Midpoint, Similarity, Harmonic Mean. Level: High School, Honors Geometry, College...

polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, are zero-dimensional points while the...

fractal curve along the diagonal of a unit square Taxicab geometry, in which the lengths of the staircases and of the diagonal are equal Moscovich, Ivan...

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the...

solid geometry, Pythagoras' theorem can be applied to three dimensions as follows. Consider the cuboid shown in the figure. The length of face diagonal AC...

In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical...

midpoints of the diagonals equals the distance between the circumcenter and the point where the diagonals intersect. In spherical geometry, a spherical quadrilateral...

Elliptic geometry is an example of a geometry in which Euclid's parallel postulate does not hold. Instead, as in spherical geometry, there are no parallel...