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The concept of the "line at infinity" arises primarily in projective geometry, a branch of mathematics that extends the properties of Euclidean geometry. In projective geometry, we can consider points and lines at infinity, which help to simplify and unify various geometric theorems and properties. ### Definition of Line at Infinity: 1. **Homogeneous Coordinates**: In projective geometry, points in the plane are represented using homogeneous coordinates.

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