Home » Remote Investing Insights » Who Introduced Hyperbolic Geometry?

Who Introduced Hyperbolic Geometry?

Alexander Ross • • 6 min read
Who Introduced Hyperbolic Geometry?

Finally, in the 19th century, two mathematicians published two separate descriptions of a geometry that satisfied all but the fifth of Euclids postulates. The two mathematicians were Euginio Beltrami and Felix Klein

Felix Klein
In 1871, while at Göttingen, Klein made major discoveries in geometry. He published two papers On the So-called Non-Euclidean Geometry showing that Euclidean and non-Euclidean geometries could be considered metric spaces determined by a Cayley–Klein metric.
› wiki › Felix_Klein
and together they developed the first complete model of hyperbolic geometry.

Who invented hyperbolic geometry?

The first published works expounding the existence of hyperbolic and other non-Euclidean geometries are those of a Russian mathematician, Nikolay Ivanovich Lobachevsky, who wrote on the subject in 1829, and, independently, the Hungarian mathematicians Farkas and János Bolyai, father and son, in 1831.

Who is the father of hyperbolic geometry?

Over 2,000 years after Euclid, three mathematicians finally answered the question of the parallel postulate. Carl F. Gauss, Janos Bolyai, and N.I. Lobachevsky are considered the fathers of hyperbolic geometry.

Alexander Ross
Author

Alexander Ross

Alexander Ross has covered the video game industry for a decade, writing deep dives on game design, esports tournaments, VR developments, and gaming culture.