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Isosceles Triangles in Euclidean,. Hyperbolic, and Taxicab

Isosceles Triangles in Euclidean, Hyperbolic, and Taxicab Geometries

The basic construction is the same for each geometry. Create two free points A and B. Construct a circle with center at A going through B. Construct C as a point on the circle. Complete the line segments for the sides. Measure the lengths of the sides and measure the angles. What can you say about the angles? For which geometries is this conclusion valid?