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Beltrami, Klein, and the Acceptance of Non-Euclidean Geometry

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Worlds Out of Nothing

Part of the book series: Springer Undergraduate Mathematics Series ((SUMS))

Abstract

What Beltrami did in his Saggio, as the extracts given in Chapter 19 will have suggested, was to take the usual metric for a map of the sphere on the plane and modify it so that it was defined only within the unit disc, but the space mapped onto the interior of that disc had the following properties.

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© 2007 Springer-Verlag London Limited

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(2007). Beltrami, Klein, and the Acceptance of Non-Euclidean Geometry. In: Worlds Out of Nothing. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-84628-633-9_20

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