Date of Award
Thesis - Restricted
Master of Science (MS)
The triangle possesses properties about which rather limited material is available. Some of these properties were discovered by Brocard about the year 1875. In this thesis the writer has endeavored to gather from various sources the information about the work Brocard did and to prove resulting facts related to it. Every triangle has a definite Brocard angle. When isosceles triangles with base angles equal to it are constructed on the sides of the original triangle, the vertices of these triangles form a triangle which is triply in perspective with the original. By making use of this construction, but changing the size of the base angle, and by applying the principles of perspectivity and loci, a curve known as Kiepert's Hyperbola is obtained.
Heilman, M. Sylvester, "Brocardian Geometry" (1948). Master's Theses (1922-2009) Access restricted to Marquette Campus. 2113.