Ideal points are theoretical constructs used in hyperbolic geometry to represent points at infinity where parallel lines converge. In the context of hyperbolic triangles, ideal points allow for a richer understanding of the relationships between lines and angles, as they help characterize the behavior of triangles that extend infinitely in the hyperbolic plane. These points are crucial in connecting various geometric properties and establishing a framework that links projective and non-Euclidean geometries.
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