We group triangles into families based on three parameters: the distance between the circumcenter O and the centroid G, the circumradius, and the measure of angle Ð GOAwhere A is one vertex. Using these parameters, we present triangle space, a subset of R3 in which every triangle is represented by exactly one point.
Steve Kennedy, Department of Mathematics, Carleton Collegeskennedy@carleton.edu
Carr, Adam; Fisher, Julia; Roberts, Andrew; and Xu, Peng (David)
"Natural Families of Triangles I: Parametrizing Triangle Space,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 9
, Article 2.
Available at: http://scholar.rose-hulman.edu/rhumj/vol9/iss1/2