circumcentre

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• circumcentre — /sûrˈkəm sen tər/ noun The centre of the circumscribed circle or sphere ORIGIN: ↑circum …   Useful english dictionary

• Euler's theorem in geometry — In geometry, Euler s theorem, named after Leonhard Euler, states that the distance d between the circumcentre and incentre of a triangle can be expressed as : d^2=R (R 2r) ,where R and r denote the circumradius and inradius respectively (the… …   Wikipedia

• Isogonal conjugate — Isogonal coniugate of P . Isogonal coniugate transformation over the points inside the triangle.In geometry, the isogonal conjugate of a point P with respect to a triangle ABC is constructed by reflecting the lines PA , PB , and PC about the… …   Wikipedia

• Centre (geometry) — In geometry, the centre (or center, in American English) of an object is a point in some sense in the middle of the object. If geometry is regarded as the study of isometry groups then the centre is a fixed point of the isometries.CirclesThe… …   Wikipedia

• Miquel's theorem — A diagram showing circles passing through the vertices of a triangle ABC and points A´, B´ and C´ on the adjacent sides of the triangle intersecting at a common point, M. Miquel s theorem is a theorem in geometry, named after Auguste Miquel,… …   Wikipedia

• Euler, Leonhard — born April 15, 1707, Basel, Switz. died Sept. 18, 1783, St. Petersburg, Russia Swiss mathematician. In 1733 he succeeded Daniel Bernoulli (see Bernoulli family) at the St. Petersburg Academy of Sciences. There he developed the theory of… …   Universalium