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  2. Equidiagonal quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Equidiagonal_quadrilateral

    In Euclidean geometry, an equidiagonal quadrilateral is a convex quadrilateral whose two diagonals have equal length. Equidiagonal quadrilaterals were important in ancient Indian mathematics , where quadrilaterals were classified first according to whether they were equidiagonal and then into more specialized types.

  3. Rhombus - Wikipedia

    en.wikipedia.org/wiki/Rhombus

    Using congruent triangles, one can prove that the rhombus is symmetric across each of these diagonals. It follows that any rhombus has the following properties: Opposite angles of a rhombus have equal measure. The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral. Its diagonals bisect opposite ...

  4. Baudhayana sutras - Wikipedia

    en.wikipedia.org/wiki/Baudhayana_sutras

    Other theorems include: diagonals of rectangle bisect each other, diagonals of rhombus bisect at right angles, area of a square formed by joining the middle points of a square is half of original, the midpoints of a rectangle joined forms a rhombus whose area is half the rectangle, etc.

  5. Square - Wikipedia

    en.wikipedia.org/wiki/Square

    A quadrilateral with four equal sides and four right angles; A parallelogram with one right angle and two adjacent equal sides; A rhombus with a right angle; A rhombus with all angles equal; A rhombus with equal diagonals; These 6 symmetries express 8 distinct symmetries on a square. John Conway labels these by a letter and group order. [11]

  6. Parallelogram law - Wikipedia

    en.wikipedia.org/wiki/Parallelogram_law

    For the general quadrilateral (with four sides not necessarily equal) Euler's quadrilateral theorem states + + + = + +, where is the length of the line segment joining the midpoints of the diagonals. It can be seen from the diagram that x = 0 {\displaystyle x=0} for a parallelogram, and so the general formula simplifies to the parallelogram law.

  7. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    Isosceles trapezium (UK) or isosceles trapezoid (US): one pair of opposite sides are parallel and the base angles are equal in measure. Alternative definitions are a quadrilateral with an axis of symmetry bisecting one pair of opposite sides, or a trapezoid with diagonals of equal length. Parallelogram: a quadrilateral with two pairs of ...

  8. Diagonal - Wikipedia

    en.wikipedia.org/wiki/Diagonal

    The diagonals of a cube with side length 1. AC' (shown in blue) is a space diagonal with length , while AC (shown in red) is a face diagonal and has length .. 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.

  9. List of Urdu prose dastans - Wikipedia

    en.wikipedia.org/wiki/List_of_Urdu_prose_dastans

    This is a list of dāstāns and qissas (prose fiction) written in Urdu during the 18th and 19th centuries. The skeleton of the list is a reproduction of the list provided by Gyan Chand Jain in his study entitled Urdū kī nasrī dāstānen .