If equilateral triangles are constructed on the sides of any triangle, the lines connecting the centers of those equilateral triangles form another equilateral triangle

Triangle

Centroid

Centroid

Circumcenter

Incenter

Orthocenter

Euler Line

Gergonne Point

Ceva's Theorem

Ceva's Theorem

Isotomic Conjugate

Menelaus's Theorem

Napoleon's Theorem

Finsler-Hadwiger Theorem

Morley's Trisector Theorem

Viviani's Theorem

Van Aubel's Theorem

Thébault's I Problem

Fagnano's Problem

Droz-Farny Line Theorem

If equilateral triangles are constructed on the sides of any triangle, the lines connecting the centers of those equilateral triangles form another equilateral triangle