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  2. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). The word is derived from the Latin words quadri , a variant of four, and latus , meaning "side".

  3. Square - Wikipedia

    en.wikipedia.org/wiki/Square

    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 angles, π /2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length adjacent sides.

  4. Lambert quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Lambert_quadrilateral

    In geometry, a Lambert quadrilateral (also known as Ibn al-Haytham–Lambert quadrilateral), [1] [2] is a quadrilateral in which three of its angles are right angles. Historically, the fourth angle of a Lambert quadrilateral was of considerable interest since if it could be shown to be a right angle, then the Euclidean parallel postulate could ...

  5. Cyclic quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Cyclic_quadrilateral

    Examples of cyclic quadrilaterals. In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle.This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic.

  6. Kite (geometry) - Wikipedia

    en.wikipedia.org/wiki/Kite_(geometry)

    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 two pairs of adjacent equal-length sides.

  7. Van Aubel's theorem - Wikipedia

    en.wikipedia.org/wiki/Van_Aubel's_theorem

    The theorem can be applied to a complex (self-intersecting) quadrilateral. In plane geometry, Van Aubel's theorem describes a relationship between squares constructed on the sides of a quadrilateral. Starting with a given convex quadrilateral, construct a square, external to the quadrilateral, on each side

  8. Complete quadrangle - Wikipedia

    en.wikipedia.org/wiki/Complete_quadrangle

    A complete quadrangle (at left) and a complete quadrilateral (at right).. In mathematics, specifically in incidence geometry and especially in projective geometry, a complete quadrangle is a system of geometric objects consisting of any four points in a plane, no three of which are on a common line, and of the six lines connecting the six pairs of points.

  9. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    25 Geometry and other areas of mathematics. 26 Glyphs and symbols. ... square (regular quadrilateral) Tangential quadrilateral; Trapezoid or trapezium Isosceles ...

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