line at infinity sentence in Hindi
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- The isogonal conjugate of the circumcircle is the line at infinity.
- Every line intersects the line at infinity at some point.
- :Take a look at line at infinity.
- It is precisely the subgroup of the Euclidean group that fixes the line at infinity pointwise.
- A hyperbola can be seen as a closed curve which intersects the line at infinity in two different points.
- Idealized directions are referred to as points at infinity, while idealized horizons are referred to as lines at infinity.
- Likewise, a parabola can be seen as a closed curve which intersects the line at infinity in a single point.
- The " center " of a non-degenerate conic can be identified as the pole of the line at infinity.
- A parabola, being tangent to the line at infinity, would have its center being a point on the line at infinity.
- A parabola, being tangent to the line at infinity, would have its center being a point on the line at infinity.
- In the projective plane, the two opposite directions of a line meet each other at a point on the line at infinity.
- This is the equation of a line according to the definition and the complement is called the " line at infinity ".
- By extending the geometry to a projective plane ( adding a line at infinity ) this apparent difference vanishes, and the commonality becomes evident.
- The lines will meet at a line at infinity ( a line that goes through zero on the plane at " z " = 0 ).
- The isogonal conjugate of the circumcircle is the line at infinity, given in trilinear coordinates by 0 } } and in barycentric coordinates by 0 } }.
- To illustrate the difference ( over the real numbers ), a parabola in the affine plane intersects the line at infinity, whereas an ellipse does not.
- Any pair of parallel planes in affine 3-space will intersect each other in a projective line ( a line at infinity ) in the plane at infinity.
- If the distance to the focus is fixed and the directrix is a line at infinity, so the eccentricity is zero, then the conic is a circle.
- Yaglom continues with his Galilean study to the " inversive Galilean plane " by including a special line at infinity and showing the topology with a stereographic projection.
- Though the line at infinity of the extended real plane may appear to have a different nature than the other lines of that projective plane, this is not the case.
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