Topics in the History of Mathematics: Non-Euclidean Geometry History (1988)

Open University

On a sphere, the sum of the angles of a triangle is not equal to 180 degrees. The surface of a sphere is not a Euclidean space, but locally the laws of the Euclidean geometry are good approximations. In a small triangle on the face of the earth, the sum of the angles is very nearly 180Ã
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During the eighteenth and nineteenth centuries mathematicians were increasingly questioning the foundations of geometry. This programme shows how these investigations led to the formation of non-Euclidean geometry.

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