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Journal for Geometry and Graphics 21 (2017), No. 1, 079--088
Copyright Heldermann Verlag 2017



Some More Surprising Properties of the "King" of Triangles

Ruti Segal
Shaanan College, P.O.B. 906, Haifa 26109, Israel
rutisegal@gmail.com

Avi Sigler
Shaanan College, P.O.B. 906, Haifa 26109, Israel
anysig@walla.co.il

Moshe Stupel
Shaanan College, P.O.B. 906, Haifa 26109, Israel
stupel@bezeqint.net



The article describes eleven "new" unique geometric properties of an equilateral triangle, which are apparently not recognized to the most how engaged Euclidean Geometry. Mathematical proofs were given to all of the properties, using various mathematical tools. Other research directions were proposed that allow for additional properties discovery.

Keywords: Equilateral triangle, geometry of triangles, geometric properties discovery.

MSC: 51M04; 51M25

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