1. CMB 2001 (vol 44 pp. 292)
|An Analogue of Napoleon's Theorem in the Hyperbolic Plane |
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.