Definition of incentre in English:

incentre

(US incenter)

noun ˈɪnsɛntəˈinˌsen(t)ər

Geometry

The centre of the incircle of a triangle or other figure.
〔几何〕内心，内切圆心
Example sentencesExamples
- In each of the three triangles pass a straight line through its incenter and circumcenter.
- The results of one such program, SIXTRI, suggested that the incenters of the small triangles formed by three intersecting cevians through special points, lie on an ellipse, while their circumcenters lie on a conic.
- Through each of its vertices draw a line perpendicular to the line joining that vertex with its incenter P. The four lines form a cyclic quadrilateral ABCD with perpendicular diagonals that pass through P.
- Therefore, the hexagon lies on a circle centered at the incenter of that triangle.
- Located where the bisectors of a triangle's three angles intersect, the incenter is the center of the largest circle that can be inscribed inside that triangle.

Definition of incenter in US English:

incenter

(British incentre)

nounˈinˌsen(t)ər

Geometry

The center of the incircle of a triangle or other figure.
〔几何〕内心，内切圆心
Example sentencesExamples
- Located where the bisectors of a triangle's three angles intersect, the incenter is the center of the largest circle that can be inscribed inside that triangle.
- Through each of its vertices draw a line perpendicular to the line joining that vertex with its incenter P. The four lines form a cyclic quadrilateral ABCD with perpendicular diagonals that pass through P.
- Therefore, the hexagon lies on a circle centered at the incenter of that triangle.
- In each of the three triangles pass a straight line through its incenter and circumcenter.
- The results of one such program, SIXTRI, suggested that the incenters of the small triangles formed by three intersecting cevians through special points, lie on an ellipse, while their circumcenters lie on a conic.

词汇	incentre
释义	Definition of incentre in English: incentre (US incenter) noun ˈɪnsɛntəˈinˌsen(t)ər Geometry The centre of the incircle of a triangle or other figure. 〔几何〕内心，内切圆心 Example sentencesExamples In each of the three triangles pass a straight line through its incenter and circumcenter. The results of one such program, SIXTRI, suggested that the incenters of the small triangles formed by three intersecting cevians through special points, lie on an ellipse, while their circumcenters lie on a conic. Through each of its vertices draw a line perpendicular to the line joining that vertex with its incenter P. The four lines form a cyclic quadrilateral ABCD with perpendicular diagonals that pass through P. Therefore, the hexagon lies on a circle centered at the incenter of that triangle. Located where the bisectors of a triangle's three angles intersect, the incenter is the center of the largest circle that can be inscribed inside that triangle. Definition of incenter in US English: incenter (British incentre) nounˈinˌsen(t)ər Geometry The center of the incircle of a triangle or other figure. 〔几何〕内心，内切圆心 Example sentencesExamples Located where the bisectors of a triangle's three angles intersect, the incenter is the center of the largest circle that can be inscribed inside that triangle. Through each of its vertices draw a line perpendicular to the line joining that vertex with its incenter P. The four lines form a cyclic quadrilateral ABCD with perpendicular diagonals that pass through P. Therefore, the hexagon lies on a circle centered at the incenter of that triangle. In each of the three triangles pass a straight line through its incenter and circumcenter. The results of one such program, SIXTRI, suggested that the incenters of the small triangles formed by three intersecting cevians through special points, lie on an ellipse, while their circumcenters lie on a conic.
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