Definition of Circumcenter

1. n. The center of a circle that circumscribes a triangle.

Definition of Circumcenter

1. Noun. (geometry) The center of a circumcircle (the circle that passes through every vertex of a given triangle or other cyclic polygon). ¹

¹ Source: wiktionary.com

Definition of Circumcenter

1. [n -S]

Lexicographical Neighbors of Circumcenter

circumambulation
circumambulations
circumambulator
circumanal
circumanal glands
circumarctic
circumarticular
circumaural
circumaxillary
circumbendibus
circumbendibuses
circumbinary
circumboreal
circumbulbar
circumburst
circumcenter (current term)
circumcenters
circumcentre
circumcentres
circumcinct
circumcircle
circumcircles
circumciser
circumcisers
circumcises
circumcising
circumcisions

Literary usage of Circumcenter

Below you will find example usage of this term as found in modern and/or classical literature:

1. Plane and Solid Geometry by Wooster Woodruff Beman, David Eugene Smith (1895)
"Draw a figure in which the circumcenter appears to fall on the side c ... May the in-center ever lie outside the triangle, as the circumcenter may ? Proof. ..."

2. The Elements of Geometry by George Bruce Halsted (1886)
"The angle between the altitude of a triangle and the line through vertex and circumcenter equals half the difference of the angles at the base. 192. ..."

3. Elementary Synthetic Geometry by George Bruce Halsted (1892)
"The o on the join of the circumcenter and Lemoine p't of aA as diameter is called ... The A whose vertices are the J_ projections of the circumcenter on the ..."

4. New Plane and Solid Geometry by Wooster Woodruff Beman, David Eugene Smith (1903)
"1 O is the common in- and circumcenter. 3. The perpendicular bisectors of the sides of a regular polygon meet in the common in- and circumcenter. (Why ? ..."

5. New Plane Geometry by Wooster Woodruff Beman, David Eugene Smith (1899)
"The bisectors of the angles of a regular polygon meet in the common in- and circumcenter. For by the proof of prop. XI they meet in 0, and by cor. ..."

6. Theoretical Kinematics by Oene Bottema, Bernard Roth (1990)
"The six normal planes of A<A, pass through one point M, the circumcenter of the homologous points A¡ (i = 1,2,3,4). We have proved the theorem: if A * is an ..."

7. Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's by George Bruce Halsted, David Hilbert (1904)
"... (in its circumcenter). 559. Corollary I to 555. The altitudes of a spherical triangle are ... in the circumcenter of ABC. 560. Corollary II to 555. ..."

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