Last Updated :2025/11/21

Lemoine hexagon

Noun
Japanese Meaning
円に内接する六角形で、その頂点が、三角形の各辺と、該三角形のシンメジアン点を通りながらその辺に平行な直線との交点の計6点で定まる。
What is this buttons?

三角形の辺と、そのシンメディアン点を通りそれぞれの辺と平行な3本の直線との6つの交点によって定まる円に内接する六角形は、外接円とともに調べるとしばしば予期しない対称性を示す。

plural

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(geometry) A cyclic hexagon with vertices given by the six intersections of the edges of a triangle and the three lines that are parallel to the edges that pass through its symmedian point.

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Lemoine hexagon

The Lemoine hexagon constructed from a triangle often reveals unexpected symmetries when studied with its circumcircle.

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The Lemoine hexagon constructed from a triangle often reveals unexpected symmetries when studied with its circumcircle.

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