| 21. | The set of Euclidean plane isometries forms a composition : the Euclidean group in two dimensions.
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| 22. | The familiar Euclidean plane is an affine plane.
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| 23. | The case where " X " is the Euclidean plane is the original one of Artin.
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| 24. | There are 4 symmetry classes of reflection on the sphere, and two in the Euclidean plane.
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| 25. | This corresponds to a point at infinity in the Euclidean plane, no corresponding intersection point exists ).
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| 26. | Geometrically, one studies the Euclidean plane ( 2 dimensions ) and Euclidean space ( 3 dimensions ).
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| 27. | It is identical to the Euclidean norm, if the complex plane is identified with the Euclidean plane.
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| 28. | They also mention that the Euclidean plane version can be proved from the Sylvester-Gallai theorem using induction.
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| 29. | For example, if the inclusion space is the Euclidean plane, then the corresponding abstractive classes are lines.
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| 30. | Later, Felix Klein realized that Cayley's ideas give rise to a projective model of the non-Euclidean plane.
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