| 1. | A great deal of Euclidean geometry carries over directly to elliptic geometry.
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| 2. | Other applications are in statistics, and another is in elliptic geometry.
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| 3. | This description gives the standard model of elliptic geometry.
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| 4. | This results in a surface possessing elliptic geometry.
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| 5. | Riemann's elliptic geometry emerges as the most natural geometry satisfying this axiom.
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| 6. | This universe is actually the real projective plane with a metric : elliptic geometry.
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| 7. | The Pythagorean theorem fails in elliptic geometry.
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| 8. | The geometry that results is called ( plane ) " Elliptic geometry ".
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| 9. | Elliptic geometry has a variety of properties that differ from those of classical Euclidean plane geometry.
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| 10. | These early attempts did, however, provide some early properties of the hyperbolic and elliptic geometries.
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