| 41. | These conventions are useful when defining Euclidean division of polynomials.
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| 42. | See also fixed points of isometry groups in Euclidean space.
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| 43. | Projectivization of the Euclidean plane produced the real projective plane.
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| 44. | The Heine Borel theorem implies that a Euclidean-sphere is compact.
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| 45. | This article is about triangles in Euclidean geometry except where otherwise noted.
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| 46. | This article is about vectors strictly defined as arrows in Euclidean space.
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| 47. | The non-Euclidean planar algebras support kinematic geometries in the plane.
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| 48. | This much is a fragment of a typical locally Euclidean topological group.
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| 49. | In Euclidean-space, every ball is bounded by a hypersphere.
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| 50. | In the case of Cartesian coordinates in Euclidean space, one can write
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