| 1. | The isogonal conjugate of the circumcircle is the line at infinity.
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| 2. | Every line intersects the line at infinity at some point.
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| 3. | :Take a look at line at infinity.
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| 4. | It is precisely the subgroup of the Euclidean group that fixes the line at infinity pointwise.
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| 5. | A hyperbola can be seen as a closed curve which intersects the line at infinity in two different points.
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| 6. | Idealized directions are referred to as points at infinity, while idealized horizons are referred to as lines at infinity.
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| 7. | Likewise, a parabola can be seen as a closed curve which intersects the line at infinity in a single point.
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| 8. | The " center " of a non-degenerate conic can be identified as the pole of the line at infinity.
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| 9. | A parabola, being tangent to the line at infinity, would have its center being a point on the line at infinity.
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| 10. | A parabola, being tangent to the line at infinity, would have its center being a point on the line at infinity.
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