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In geometry, the Lemoine point, Grebe point or symmedian point is the intersection of the three symmedians (medians reflected at the associated angle...

triangle is 2 2 / 3 {\displaystyle 2{\sqrt {2}}/3} . Both of these extreme cases occur for the isosceles right triangle.[citation needed] The Lemoine...

best known for his proof of the existence of the Lemoine point (or the symmedian point) of a triangle. Other mathematical work includes a system he called...

of the triangle, it was the publication in 1873 of a paper by Emile Lemoine (1840–1912) with the title "On a remarkable point of the triangle" that was...

Lemoine or Le Moine is a French surname meaning "Monk". Notable people with the surname include: Adolphe Lemoine, known as Lemoine-Montigny (1812–1880)...

b : c. So the Lemoine axis of △ABC is the trilinear polar of the symmedian point of △ABC. The tangential triangle of △ABC is the triangle △TATBTC formed...

side of the angle bisector. The three symmedians meet at a triangle center called the Lemoine point. Ross Honsberger has called its existence "one of the...

Jacques-Antoine-Marie Lemoine, also Lemoyne (17 July 1751 – 7 February 1824), was a French artist, known primarily for portraiture. Lemoine was born in Rouen...

In geometry, the Lemoine hexagon is a cyclic hexagon with vertices given by the six intersections of the edges of a triangle and the three lines that...

In geometry, Lemoine's problem is a straightedge and compass construction problem posed by French mathematician Émile Lemoine in 1868: Given one vertex...

nine-point center, Lemoine point, Gergonne point, and Feuerbach point were discovered. During the revival of interest in triangle geometry in the 1980s...

configuration. The Lemoine hexagon is a cyclic hexagon (one inscribed in a circle) with vertices given by the six intersections of the edges of a triangle and the...

A triangle's circumcenter, its Lemoine point, and its first two Brocard points are concyclic, with the segment from the circumcenter to the Lemoine point...

sides Triangle – 3 sides Acute triangle Equilateral triangle Heptagonal triangle Isosceles triangle Golden Triangle Obtuse triangle Rational triangle Heronian...

the orthic triangle.: p. 98  A reference triangle and its tangential triangle are in perspective, and the axis of perspectivity is the Lemoine axis of the...

Johnson circles Kepler triangle Kobon triangle problem Kosnita's theorem Leg (geometry) Lemoine's problem Lester's theorem List of triangle inequalities Mandart...

Define B0, C0 cyclically, then A0B0C0 is an equilateral triangle. Napoleon points Lemoine's problem Napoleon's problem Van Aubel's theorem Grünbaum 2012...

Catalogue of Triangle Cubics is an online resource containing detailed information about more than 1200 cubic curves in the plane of a reference triangle. The...

ratio of distances to the other two. The isodynamic points and Lemoine line of a triangle can be solved using these circles of Apollonius. Apollonius' problem...

In Euclidean geometry, a triangle conic is a conic in the plane of the reference triangle and associated with it in some way. For example, the circumcircle...