Skip to main content
non-Euclidean geometry

non-Euclidean geometry

9.9
A way of studying space where flat space rules like triangles summing to 180 degrees do not hold
  • noun
  • /nɒn juːˈklɪdiən dʒiˈɒmətri/
  • Specialized
translation icon : geometría no euclidiana
  • Understanding non-Euclidean geometry opens up new possibilities for studying the shape of the universe.

Examples

  • Answering such a question led to the development of non-Euclidean geometry.

    Academic text (2003)
  • Non-Euclidean geometry allows for parallel lines to diverge in ways that defy classical understanding.

  • So last time we were talking about non Euclidean geometry in a serious way.

  • Many artists have been inspired by non-Euclidean geometry to create works that challenge traditional perspectives.

Surface Forms

Morphology

non-Euclidean + geometry

The prefix 'non-' simply negates 'Euclidean', and combined with 'geometry' this yields 'geometry that is not Euclidean' — a meaning directly derivable from the constituents. This is a regular compositional negation pattern found cross-linguistically, so a B1 learner who knows the parts can infer the basic sense even if the technical implications require more mathematical background.

Etymology

Non-Euclidean geometry literally combines non (meaning 'not') and Euclidean (after the old mathematician Euclid); imagine drawing shapes on a ball or a saddle instead of flat paper, so straight lines and triangles behave differently. That's why non-Euclidean geometry means the study of spaces that do not follow Euclid's flat-paper rules, where, for example, a triangle's angles may not add up to 180 degrees.