When1: 1830
Who: Nikolai Ivanovich Lobachevski [Lobachevski, Nikolai Ivanovich]
What: mathematician
Where: Kazan, Russia
works\ On the Principles of Geometry [1830]
Detail: He lived 1793 to 1856 and invented Lobachevsky's rule. He used substitute parallel axiom, applied to two boundary lines with angle to the perpendicular, to make non-Euclidean hyperbolic geometry {Lobachevskian geometry, Lobachevski}. People do not know Euclid's axioms with certainty, and they are not true a priori.
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Date Modified: 2022.0224