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A self-intersecting quadrilateral is called variously a cross-quadrilateral, crossed quadrilateral, butterfly quadrilateral or bow-tie quadrilateral. In a crossed quadrilateral, the four "interior" angles on either side of the crossing (two acute and two reflex , all on the left or all on the right as the figure is traced out) add up to 720°.
a parallelogram in which at least two consecutive sides are equal in length; a parallelogram in which the diagonals are perpendicular (an orthodiagonal parallelogram) a quadrilateral with four sides of equal length (by definition) a quadrilateral in which the diagonals are perpendicular and bisect each other
In Mesopotamian cosmology, four rivers flowing out of the garden of creation, which is the center of the world, define the four corners of the world. [1] From the point of view of the Akkadians, the northern geographical horizon was marked by Subartu, the west by Mar.tu, the east by Elam and the south by Sumer; later rulers of all of Mesopotamia, such as Cyrus, claimed among their titles LUGAL ...
Individual polygons are named (and sometimes classified) according to the number of sides, combining a Greek-derived numerical prefix with the suffix -gon, e.g. pentagon, dodecagon. The triangle, quadrilateral and nonagon are exceptions, although the regular forms trigon, tetragon, and enneagon are sometimes encountered as well.
That is, there exists a circle that is tangent to all four sides. Additionally, if a convex kite is not a rhombus, there is a circle outside the kite that is tangent to the extensions of the four sides; therefore, every convex kite that is not a rhombus is an ex-tangential quadrilateral.
In Euclidean geometry, a right kite is a kite (a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other) that can be inscribed in a circle. [1] That is, it is a kite with a circumcircle (i.e., a cyclic kite). Thus the right kite is a convex quadrilateral and has two opposite right ...
The borders of the historic condominium of Moresnet.Moresnet is colored blue, the Netherlands orange, Belgium yellow, and Prussia green.. An early instance of four political divisions meeting at a point is the Four Shire Stone in Moreton-in-Marsh, England (attested in the Domesday Book, 1086, [6] [7] and mentioned since 969 if not 772 [8]); until 1931, it was the meeting point of the English ...
Because of this symmetry, it has two pairs of equal angles and two pairs of equal sides. [2] The four midpoints of its sides lie on a line perpendicular to the axis of symmetry; that is, for this kind of quadrilateral, the Varignon parallelogram is a degenerate quadrilateral of area zero, consisting of four collinear points.