MAA Writing Awards
One Point Determines a Line - A Geometric Axiom of Choice
Year of Award: 2001
Award: Trevor Evans
Publication Information: Math Horizons, Nov. 2000, pp. 20-24
Summary: The author shows that there is a one-to-one and onto function from the set L of all lines in the plane to the set P of all points in the plane with the additional property that if line l corresponds to point p, then p lies on l.
About the Author: (from Math Horizons, Nov. (2000)) Ira Rosenholtz is Professor of Mathematics at Eastern Illinois University.