| 21. | This topological space, the complex plane plus the point at infinity, is known as the extended complex plane.
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| 22. | Idealized directions are referred to as points at infinity, while idealized horizons are referred to as lines at infinity.
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| 23. | For the parabola, the center of the directrix moves to the point at infinity ( see projective geometry ).
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| 24. | The equation should be studied on the Riemann sphere to include the point at infinity as a possible singular point.
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| 25. | The stabilizer of any point ( a " point at infinity " ) is the affine group of a line.
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| 26. | For example, stereographic projection of a sphere onto the plane augmented with a point at infinity is a conformal map.
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| 27. | The projective harmonic conjugate of such a " midpoint " with respect to the two endpoints is the point at infinity.
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| 28. | The modular group acts continuously on this compactification, but they showed that their compactification has strictly more points at infinity.
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| 29. | For real hyperelliptic curves, there are two points at infinity, \ infty _ 1 and \ infty _ 2.
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| 30. | He introduced the method of the critical points at infinity, which is a fundamental step in the calculus of variations.
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