cyclic quadrilateral
Cyclic quadrilateral
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A quadrilateral is cyclic when its four vertices lie on a circle.
A necessary and sufficient condition for a quadrilateral to be cyclic, is that the sum of a pair of opposite angles be equal to .
One of the main results about these quadrilaterals is Ptolemy’s theorem.
Also, from all the quadrilaterals with given sides , the one that is cyclic has the greatest area. If the four sides of a cyclic quadrilateral are known, the area can be found using Brahmagupta’s formula
| Title | cyclic quadrilateral |
| Canonical name | CyclicQuadrilateral |
| Date of creation | 2013-03-22 11:44:16 |
| Last modified on | 2013-03-22 11:44:16 |
| Owner | drini (3) |
| Last modified by | drini (3) |
| Numerical id | 12 |
| Author | drini (3) |
| Entry type | Definition |
| Classification | msc 51-00 |
| Classification | msc 81R50 |
| Classification | msc 81P05 |
| Classification | msc 81Q05 |
| Classification | msc 81-00 |
| Synonym | cyclic |
| Related topic | OrthicTriangle |
| Related topic | PtolemysTheorem |
| Related topic | ProofOfPtolemysTheorem |
| Related topic | Circumcircle |
| Related topic | Quadrilateral |