Examples of 'point at infinity' in a sentence

Meaning of "point at infinity"

point at infinity: a concept in mathematics or physics referring to a point that is infinitely far away
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  • An asymptotic point in 3-dimensional space, viewed from some point, at which parallel lines appear to meet and which in perspective drawing is represented as a vanishing point.
  • Any point added to a space to achieve projective completion.
  • An ideal point.

How to use "point at infinity" in a sentence

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point at infinity
The point at infinity is added to all the lines.
There can only be other ramification at the point at infinity.
This point at infinity serves as the harmonic conjugate of the midpoint x.
This is equivalent to choosing a datum point at infinity in that direction.
Point at infinity.
Either or both of these fixed points may be the point at infinity.
The complex plane extended by a point at infinity is called the Riemann sphere.
All the lines in a family of parallels share the same point at infinity.
Let O be the point at infinity.
In this situation, each equivalence class determines a point at infinity.
In that sense, the point at infinity was the last point on the line.
The point P obtained must be different from the point at infinity Ø.
In particular, the compactification point at infinity is mapped to the origin and vice versa.
In order words, an unlimited straight line has only one point at infinity.
In the real case, a point at infinity completes a line into a topologically closed curve.

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This drawback can be removed by adding a point at infinity to every line.
A point at infinity is represented by T { \ displaystyle ^ { T.
Any continuous curve connecting the origin z = 0 with the point at infinity would work.
The images of a point at infinity are then the points C ' 1 and C ' 2 in the fixed plante P ' 0.
The direction n ∞ therefore represents the ( conformal ) point at infinity.
The approach is to adjoin a point at infinity designated ∞ or 1/0.
Literally, " without a focal length " ; an optical system with its object and image point at infinity.
In this case, the point at infinity is.
Intuitively, the extra point in a ( X ) can be thought of as a point at infinity.
Additionally, if the P is a point at infinity at step S17, the process also proceeds to step S20.
The second objective 14 then projecs the image Mi of the point at infinity to a detector 18.
Apart from the points shown above, we use another point, named O, or point at infinity.
In step S 42, a variable ( or a register ) R receives the coordinates of the point at infinity Ø.

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Examples of using Infinity
Plan strain free infinity corrected objectives
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So plays on the infinity thing without being obvious
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