Definition of Incentre
1. Noun. (mathematics) The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle. ¹
¹ Source: wiktionary.com
Definition of Incentre
1. the centre of an inscribed circle [n -S]
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Lexicographical Neighbors of Incentre
Literary usage of Incentre
Below you will find example usage of this term as found in modern and/or classical literature:
1. Mathematical Questions and Solutions (1891)
"between the summit and the incentre is to that between the incentre and the base, as the sum of the sides to the base. Now, let B'C' be the given sum of the ..."
2. A Treatise on Plane Trigonometry, Containing an Account of Hyperbolic by John Casey (1888)
"To find the distance between the incentre and circumcentre of a triangle. Let /, 0 be the incentre and circumcentre, respectively. ..."
3. Mathematical Questions and Solutions, from "The Educational Times", with edited by Constance I Marks (1901)
"I is the incentre of the triangle ABC, of which A is the greatest angle. P is a point on the incircle, and through P lines are drawn parallel to the three ..."
4. A Treatise on the Analytical Geometry of the Point, Line, Circle, and Conic by John Casey (1893)
"Any point and its supplementary are collinear with the incentre. 2. If M describe the line la 4 mß + ny = 0, prove that M' describes (I + m + n) (a + ß + 7) ..."
5. Proceedings of the Edinburgh Mathematical Society by Edinburgh Mathematical Society (1903)
"... pass through the incentre, and the lines joining the vertices to the ... of the incentre. The lines joining the vertices to the opposite ..."
6. Plane Trigonometry by Sidney Luxton Loney (1896)
"To find the distance between the circumcentre and the incentre. Let 0 be the circumcentre, ... Let / be the incentre, and IE be perpendicular to AC. ..."
7. Plane and Spherical Trigonometry by Edwin Charles Goddard, Elmer A Lyman (1900)
"The circle inscribed in a given triangle is often called the incircle of tho triangle, its centre the incentre, and its radius is denoted by r. ..."
8. A Treatise on Spherical Trigonometry: And Its Application to Geodesy and by John Casey (1889)
"If /he incentre of a spherical triangle, prove that A 7? C1 COS2 -- COS2 — - — COS2 — cos ... If Ia he the incentre of the ..."