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Games. Nets. Non Euclidean Geometry. Real world. Spheres. Geodesics. Working systematically. Surface and surface area. Mathematical reasoning & proof. Visualising.

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Broad Topics > 3D Geometry, Shape and Space > Non Euclidean Geometry

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When the Angles of a Triangle Don't Add up to 180 Degrees

Stage: 4 and 5

This article outlines the underlying axioms of spherical geometry giving a simple proof that the sum of the angles of a triangle on the surface of a unit sphere is equal to pi plus the area of the. . . .