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A Russian mathematician named Nikolai Ivanovich Lobachevsky is the man credited with inventing hyperbolic geometry. Nikolai lived from 1792 to 1856.
Spherical
Riemann created elliptic geometry in 1854.
menaechmus
it is the study of geometry using the principals of algebra that a famous mathemaition created and his name was Rene Descartes (1596-1650)