Abstract by Prof. Clark Kimberling

More Algebraic Inroads to Triangle Geometry.

Objects in the "plane" of a triangle are treated algebraically as polynomial (etc.) functions of the sidelengths. There may be a few surprises along the way -- * Introduction * Ceva conjugates * How to multiply points P and Q, algebraically and geometrically * Triangle geometry seen as a collection of layers; e.g., for each n > 0, there is an n-Euler line, on which the n-centroid trisects the segment from the n-circumcenter to the n-orthocenter. There is an n-Steiner ellipse, an n-Kiepert hyperbola, and so on.

Tuesday - March 11, 1997.
11:00 AM - 247 Altgeld Hall - GEOMETRIC POTPOURRI SEMINAR