Definitions

from The Century Dictionary.

  • noun In mathematics, the center of a circumscribed circle. Thus, the circumcenter of a triangle is the center of the circle circumscribed about it.

from the GNU version of the Collaborative International Dictionary of English.

  • noun (Geom.) The center of a circle that circumscribes a triangle.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun geometry The center of a circumcircle (the circle that passes through every vertex of a given triangle or other cyclic polygon).

Etymologies

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Examples

  • The second is the circumcenter, which is the intersection of the perpendiculars drawn from the halfway points of the sides.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • The second is the circumcenter, which is the intersection of the perpendiculars drawn from the halfway points of the sides.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • The second is the circumcenter, which is the intersection of the perpendiculars drawn from the halfway points of the sides.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • In 1767 Leonhard Euler proved that for all triangles the orthocenter, the circumcenter, the centroid and the center of the midcircle are always on the same line.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • In 1767 Leonhard Euler proved that for all triangles the orthocenter, the circumcenter, the centroid and the center of the midcircle are always on the same line.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • In 1767 Leonhard Euler proved that for all triangles the orthocenter, the circumcenter, the centroid and the center of the midcircle are always on the same line.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • Recalling where O and I are the circumcenter and incenter of triangle from which (b) follows.

    LearnHub Activities 2008

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