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edited Aug 17 at 18:49

RobPratt

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Point of concurrenyconcurrency of three circles which pass through vertices of a triangle and erected equilateral triangles

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asked Aug 16 at 17:42

Benjamin L. Warren

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Point of concurreny of three circles which pass through vertices of a triangle and erected equilateral triangles

Let $A, B$, and $C$ be the vertices of a given triangle. Let $ACD, ABF$, and $BCE$ form equilateral triangles (internal or external). Then circles $ADF, BEF$, and $CDE$ are concurrent at point $G$.

Surely there must be some formal name for this point, right? What is it known as?

triangles