from Wiktionary, Creative Commons Attribution/Share-Alike License

  • adj. Of or pertaining to Nikolai Ivanovich Lobachevsky (1792–1856), Russian mathematician, or to his work, most notably on non-Euclidean geometry.


Lobachevsky +‎ -an (Wiktionary)


  • For this reason, hyperbolic geometry is sometimes called Lobachevskian geometry.

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  • Since Lobachevsky was the first to publish, the system of geometry based on the said "absolute geometry" plus the negation of Euclid's Postulate is properly called Lobachevskian geometry.

    Nineteenth Century Geometry

  • Helmholtz investigates the question of which systems of geometry (Euclidean, Lobachevskian, and Riemannian) are possible under which assumptions.

    Hermann von Helmholtz

  • In April 1869, Eugenio Beltrami pointed out in a letter to Helmholtz that Lobachevskian geometry could be adequate to the task under the assumption that we live in a

    Hermann von Helmholtz

  • In other words, every theorem of Lobachevskian geometry holds for suitable figures formed from points of Int (κ), if the distance between any two of these points is given by the function dκ.

    Nineteenth Century Geometry

  • Hence, in Lobachevskian geometry, similar triangles are congruent.

    Nineteenth Century Geometry

  • Thus, in Lobachevskian geometry there are no rectangles.

    Nineteenth Century Geometry

  • Lobachevskian geometry received little attention before the late

    Nineteenth Century Geometry

  • There is a simple formal correspondence between the equations of Lobachevskian trigonometry and those of standard spherical trigonometry.

    Nineteenth Century Geometry

  • I would walk in time with the way toward that Lobachevskian haze up ahead where the two rails meet.


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