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