
Journal for Geometry and Graphics 21 (2017), No. 1, 079088 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 [ Fulltextpdf (623 KB)] 