In spherical geometry, a spherical rectangle is a figure whose four edges are great circle arcs which meet at equal angles greater than 90°. Opposite arcs are equal in length. The surface of a sphere in Euclidean solid geometry is a non-Euclidean surface in the sense of elliptic geometry. Spherical geometry is … Visa mer In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a Visa mer Traditional hierarchy A rectangle is a special case of a parallelogram in which each pair of adjacent sides is perpendicular. A parallelogram is a … Visa mer The isoperimetric theorem for rectangles states that among all rectangles of a given perimeter, the square has the largest area. The midpoints of the sides of any quadrilateral with perpendicular diagonals form a rectangle. A Visa mer The rectangle is used in many periodic tessellation patterns, in brickwork, for example, these tilings: Visa mer A convex quadrilateral is a rectangle if and only if it is any one of the following: • a parallelogram with at least one right angle • a parallelogram with diagonals of equal length Visa mer Symmetry A rectangle is cyclic: all corners lie on a single circle. It is Visa mer A crossed quadrilateral (self-intersecting) consists of two opposite sides of a non-self-intersecting quadrilateral along with the two diagonals. Similarly, a crossed rectangle is a … Visa mer
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