Browsing by Subject "Euclidean geometry"

Now showing items 1-2 of 2

    • Heron's Problem in the Minkowski Plane 

      Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 1995)
      **Please note that the full text is embargoed** ABSTRACT: Heron's problem in the Euclidean plane is that of minimizing the length of a path that joins two points on one side of a line and intersects the line. A ...

    • The Reflection Property in Normed Linear Planes with Applications to Generalized Conics 

      O'Neill, Edward J.; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 2005-07)
      **Please note that the full text is embargoed** ABSTRACT: The ancient Greek mathematician Heron was the first to solve the problem of finding the shortest path from point A to point B on one side of the line L, subject to ...