Definitions

from The American Heritage® Dictionary of the English Language, 5th Edition.

  • adjective Of, relating to, or being any of several modern geometries that are not based on the postulates of Euclid.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • adjective of, or relating to non-Euclidean geometry

Etymologies

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Examples

  • When I was 14 I wrote this fanfic about a sentai team of Greek mathematicians, with Pythagoras as the calm leader and Archimedes as the brash, hot-headed one and Euclid was there too but at the time I was confused by Euclidean versus non-Euclidean Geometry so I didn't really like him and he ended up being the one with no personality.

    24th March '09 flidgetjerome 2009

  • But they can be in a highly skewed, non-Euclidean geometry, and are topologically equivalent. fifth monarchy man: This ball is red.

    Alice In Wonderland official trailer 2009

  • It is not “true” in the non-Euclidean space we live in, and in which our noble guests also presumably live in.

    The Volokh Conspiracy » Good Tips in Case You Find Yourself Being the Person Who Makes First Contact with Intelligent Extraterrestrials 2010

  • Still designing the boxes, which, naturally, will be cardboard tesseracts, to hold each non-Euclidean slice.

    Howard Hughes vs. Inertia scarletboi 2009

  • Russia, writes the novelist Tatyana Tolstaya, “possesses certain peculiarities that verge on the fantastic, and its inner geometry is decidedly non-Euclidean.”

    The Return Daniel Treisman 2011

  • Hyperbolic space is a non-Euclidean geometic form described by Mathematicians as a shape with a constant negative curvature.

    Daina Taimina’s Hyperbolic Planes 2009

  • Lovecraft for kids may seem like madness at first, but Brown and Podesta show that it can be done, it just takes an imagination warped by non-Euclidean visions.

    Howard Lovecraft and the Frozen Kingdom » Comics Worth Reading 2009

  • Russia, writes the novelist Tatyana Tolstaya, “possesses certain peculiarities that verge on the fantastic, and its inner geometry is decidedly non-Euclidean.”

    The Return Daniel Treisman 2011

  • Russia, writes the novelist Tatyana Tolstaya, “possesses certain peculiarities that verge on the fantastic, and its inner geometry is decidedly non-Euclidean.”

    The Return Daniel Treisman 2011

  • Indeed, between non-Euclidean geometry in the 1820s, abstract algebra in the mid-1800s, and transfinite numbers in the 1880s, it had begun to seem like mathematics was a kind of universal framework for abstraction.

    Wolfram Blog : Stephen Wolfram on the Quest for Computable Knowledge 2009

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