Centre (mathematics): Difference between revisions
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In [[mathematics]], '''centre''' may refer to: | In [[mathematics]], '''centre''' may refer to: | ||
* In an algebraic structure, elements that commute with every element of the structure | * In an algebraic structure, elements that commute with every element of the structure | ||
** The [[centre of a group]], elements that commute with every group element | ** The [[centre of a group]], elements that commute with every group element | ||
** The [[centre of a ring]], elements that commute with every ring element | |||
* The centre of a [[Circle (mathematics)|circle]] | * The centre of a [[Circle (mathematics)|circle]] | ||
* The centre of mass, centroid or [[barycentre]] of a geometrical figure | * The centre of mass, centroid or [[barycentre]] of a geometrical figure | ||
* In [[triangle geometry]] | * In [[triangle geometry]] | ||
** The [[centroid]], intersection of the [[median ( | ** The [[centroid]], intersection of the [[median (geometry)|median]]s | ||
** The [[circumcentre]], intersection of the [[perpendicular bisector]]s of the sides, centre of the circle through the vertices | ** The [[circumcentre]], intersection of the [[perpendicular bisector]]s of the sides, centre of the circle through the vertices | ||
** The [[nine-point centre]] | ** The [[nine-point centre]] | ||
** The [[orthocentre]], intersection of the [[altitude]]s | ** The [[orthocentre]], intersection of the [[altitude (geometry)|altitude]]s | ||
** The [[incentre]], centre of a circle [[tangent]] to the sides | ** The [[incentre]], centre of a circle [[tangent]] to the sides | ||
** The [[excentre]]s, centres of the three circles internally tangent to one side and externally to the other two | ** The [[excentre]]s, centres of the three circles internally tangent to one side and externally to the other two | ||
Latest revision as of 18:51, 12 February 2009
This disambiguation page lists articles associated with the same or a similar title.
In mathematics, centre may refer to:
- In an algebraic structure, elements that commute with every element of the structure
- The centre of a group, elements that commute with every group element
- The centre of a ring, elements that commute with every ring element
- The centre of a circle
- The centre of mass, centroid or barycentre of a geometrical figure
- In triangle geometry
- The centroid, intersection of the medians
- The circumcentre, intersection of the perpendicular bisectors of the sides, centre of the circle through the vertices
- The nine-point centre
- The orthocentre, intersection of the altitudes
- The incentre, centre of a circle tangent to the sides
- The excentres, centres of the three circles internally tangent to one side and externally to the other two