A point at infinity is a concept in geometry that represents an idealized location where parallel lines converge, allowing for a more comprehensive understanding of geometric relationships and transformations. This concept simplifies the analysis of geometric objects by transforming Euclidean space into a projective space where these points can be treated as part of the system. The inclusion of points at infinity helps to maintain the properties of geometric operations even in cases where traditional Euclidean notions fail, enhancing the representation of geometric primitives.
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