Circumcentre: Difference between revisions
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In [[triangle geometry]], the '''circumcentre''' of a [[triangle]] is a point which represents the [[centre]] of the [[circumcircle]], the circle containing the three [[vertex|vertices]]; and the point common to the three [[perpendicular bisector]]s of the three sides. | In [[triangle geometry]], the '''circumcentre''' of a [[triangle]] is a point which represents the [[centre]] of the [[circumcircle]], the circle containing the three [[vertex|vertices]]; and the point common to the three [[perpendicular bisector]]s of the three sides. | ||
More generally, if a [[polygon]] is [[cyclic polygon|cyclic]], so that the vertices lie on a circle, the centre of that circle is the circumcentre. | More generally, if a [[polygon]] is [[cyclic polygon|cyclic]], so that the vertices lie on a circle, the centre of that circle is the circumcentre. | ||
Latest revision as of 22:44, 17 February 2009
Circumcentre [r]: The centre of the circle that goes through the vertices of a triangle or a cyclic polygon. [e]
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In triangle geometry, the circumcentre of a triangle is a point which represents the centre of the circumcircle, the circle containing the three vertices; and the point common to the three perpendicular bisectors of the three sides.
More generally, if a polygon is cyclic, so that the vertices lie on a circle, the centre of that circle is the circumcentre.