hyperbolic geometry

hyperbolic geometry

Non-Euclidean geometry, useful in modeling interstellar space, that rejects the parallel postulate, proposing instead that at least two lines through any point not on a given line are parallel to that line. Though many of its theorems are identical to those of Euclidean geometry, others differ. For example, two parallel lines converge in one direction and diverge in the other, and the angles of a triangle add up to less than 180°.

This entry comes from Encyclopædia Britannica Concise.
For the full entry on hyperbolic geometry, visit Britannica.com.

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