| 11. | Flat objects may be identified by the point at infinity being included in the solutions.
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| 12. | This corresponds to the situation that one of the fixed points is the point at infinity.
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| 13. | In the real case, a point at infinity completes a line into a topologically closed curve.
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| 14. | The neutral element is then given by the point at infinity ( 0 : 1 : 0 ).
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| 15. | This corresponds to a point at infinity in the Euclidean plane, no corresponding intersection point exists ).
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| 16. | The point " O " is actually the " point at infinity " in the projective plane.
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| 17. | These lines are sometimes thought of as circles through the point at infinity, or circles of infinite radius.
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| 18. | Thus we define as the homogeneous coordinates of the point at infinity corresponding to the direction of the line.
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| 19. | The domain of a complex-valued function may be extended to include the point at infinity as well.
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| 20. | This definition for addition works except in a few special cases related to the point at infinity and intersection multiplicity.
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