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An Analogue of Napoleon's Theorem in the Hyperbolic Plane |
Canad. Math. Bull. 44(2001), 292-297
Published:2001-09-01
Printed: Sep 2001
Printed: Sep 2001
- Angela McKay
Abstract
There is a theorem, usually attributed to Napoleon, which states that
if one takes any triangle in the Euclidean Plane, constructs
equilateral triangles on each of its sides, and connects the midpoints
of the three equilateral triangles, one will obtain an equilateral
triangle. We consider an analogue of this problem in the hyperbolic
plane.
| MSC Classifications: | 37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) |