Non-Euclidean Geometries

•Non-Euclidean geometry is a type of geometry which defies some of the postulates of Euclidean geometry

• In Euclidean and normal geometry, parallel lines never meet but in non-Euclidean geometry, they can meet once or infinity times.

•Gauss was the first to discover non-euclidean geometry (He discovered it around 1824-1829) but was worried his reputation in the math world would be tarnished for the denial of Euclidean geometry and did not publish his findings.

•In 1829, Lobachevsky published the first paper on Non-Euclidean geomotry, unaware that other mathmetiaicans had already discovered it.