Denying or going beyond Euclidean principles in geometry, especially in contravening the postulate that only one line through a given point can be parallel to a given line.
- In 1915, Albert Einstein found it more convenient, the conventionalist would say, to develop his theory of general relativity using non-Euclidean rather than Euclidean geometry.
- Beltrami in this 1868 paper did not set out to prove the consistency of non-Euclidean geometry or the independence of the Euclidean parallel postulate.
- By chapter two he is proving Pythagoras' theorem from first principles and introducing non-Euclidean geometry.
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