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2. Orthodiagonal quadrilateral - Wikipedia

   en.wikipedia.org/wiki/Orthodiagonal_quadrilateral

   The kites are exactly the orthodiagonal quadrilaterals that contain a circle tangent to all four of their sides; that is, the kites are the tangential orthodiagonal quadrilaterals. [1] A rhombus is an orthodiagonal quadrilateral with two pairs of parallel sides (that is, an orthodiagonal quadrilateral that is also a parallelogram).

3. Brahmagupta theorem - Wikipedia

   en.wikipedia.org/wiki/Brahmagupta_theorem

   In geometry, Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is, has perpendicular diagonals), then the perpendicular to a side from the point of intersection of the diagonals always bisects the opposite side. [1] It is named after the Indian mathematician Brahmagupta (598-668). [2]

4. Cyclic quadrilateral - Wikipedia

   en.wikipedia.org/wiki/Cyclic_quadrilateral

   If a cyclic quadrilateral is also orthodiagonal, the distance from the circumcenter to any side equals half the length of the opposite side. [23] In a cyclic orthodiagonal quadrilateral, the distance between the midpoints of the diagonals equals the distance between the circumcenter and the point where the diagonals intersect. [23]

5. Harmonic quadrilateral - Wikipedia

   en.wikipedia.org/wiki/Harmonic_quadrilateral

   In Euclidean geometry, a harmonic quadrilateral, or harmonic quadrangle, [1] is a quadrilateral that can be inscribed in a circle (cyclic quadrilateral) in which the products of the lengths of opposite sides are equal. It has several important properties.

6. Quadrilateral - Wikipedia

   en.wikipedia.org/wiki/Quadrilateral

   Harmonic quadrilateral: a cyclic quadrilateral such that the products of the lengths of the opposing sides are equal. Bicentric quadrilateral: it is both tangential and cyclic. Orthodiagonal quadrilateral: the diagonals cross at right angles. Equidiagonal quadrilateral: the diagonals are of equal length.

7. College Football Playoff rankings: Oregon, Ohio State and ...

   www.aol.com/sports/oregon-ohio-state-georgia...

   1. Oregon. 2. Georgia. 3. Miami. 4. BYU. The Cougars were at No. 9 in the rankings while Miami was at No. 4. BYU is one of four Big 12 teams in the initial rankings ahead of No. 17 Iowa State, No ...