| 31. | The Parallel Postulate is satisfied only for models of Euclidean geometry.
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| 32. | In this case, the extended Euclidean algorithm may be used.
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| 33. | Hyperbolic polygons are the analogues of Euclidean polygons in hyperbolic geometry.
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| 34. | At this point we're no longer dealing with Euclidean architecture.
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| 35. | The very nature of Euclidean geometry seems to change with such software.
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| 36. | With an analogous proof for a right-Euclidean relation.
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| 37. | But Euclidean geometry distinguish " regular polytopes ".
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| 38. | The Euclidean algorithm is one of the oldest algorithms in common use.
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| 39. | The quadratic integer rings are helpful to illustrate Euclidean domains.
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| 40. | When embedded in Euclidean space the Klein bottle is one-sided.
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