| 1. | He did not grant independent existence to the non-euclidean geometries .
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| 2. | In the case of non-euclidean geometry he published no definitive work .
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| 3. | The advent of the theory of relativity forced a drastic change in the attitude toward non-euclidean geometry .
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| 4. | It was this concept that riemann generalized, thereby opening up new vistas in non-euclidean geometry .
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| 5. | But none of the mathematicians believed that these basic non-euclidean geometries would be physically significant .
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| 6. | Gaussian intrinsic differential geometry and non - euclidean geometry
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| 7. | This cumulative development of mathematics applies especially to non - euclidean geometry
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| 8. | It was this concept that riemann generalized , thereby opening up new vistas in non - euclidean geometry
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| 9. | Another reason for the loss of interest in the non - euclidean geometries was their seeming lack of relevance to the physical world
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| 10. | Aim to study the relations between the thought of gaussian intrinsic differential geometry and gauss ' s earlier research on non - euclidean geometry
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