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Absolute geometry

💡 Words with a Similar Meaning to "Absolute geometry"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
imaginary geometrynoun(geometry) Absolute geometry, an axiomatised geometry in which the parallel postulate is absent and not replaced by an alternative, and of which Euclidean geometry and some non-Euclidean geometries are subtypes.
euclideanismnounThe Euclidean approach to geometry.
geometrynoun(mathematics, uncountable) The branch of mathematics dealing with spatial relationships.
synthetic geometrynoun(mathematics) Geometry without the use of coordinates, relying instead on proofs derived from axioms.
non-euclidean geometrynoun(geometry) Any system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience.
affine geometrynoun(geometry, uncountable) The branch of geometry dealing with what can be deduced in Euclidean geometry when the notions of line length and angle size are ignored.
euclidian spacenoun(mathematics, geometry) A space where the principles of Euclidean geometry apply.
analytical geometrynounAlternative form of analytic geometry. [(geometry) The subbranch of geometry that investigates geometrical figures via the mathematical properties of their representations in a coordinate system.]
analytic geometrynoun(geometry) The subbranch of geometry that investigates geometrical figures via the mathematical properties of their representations in a coordinate system.
geometricitynoun(mathematics) The condition of being geometric, or of having been geometricized.
arithmetic geometrynoun(mathematics) A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory, in particular being concerned with schemes of finite type over the spectrum of the ring of integers, Spec(ℤ).
finite geometrynoun(geometry, uncountable) The branch of geometry that concerns geometric systems with only a finite number of points.
hypergeometrynounA geometry in more than three dimensions.
pasch's axiomnoun(geometry) A statement in plane geometry, used implicitly by Euclid, which cannot be derived from Euclid's postulates. It states that, if a line, not passing through any vertex of a triangle, meets one side of the triangle then it meets another side.
metageometrynounnon-Euclidean geometry
equivalencenoun(uncountable) The condition of being equivalent or essentially equal.
noncommutative geometrynoun(mathematics, physics) A version of C*-algebra which does away with commutativity, and the geometry which would be generated by/associated with such a modified algebra.
autometrynoun(mathematics) An isometry of a metric space to itself
complex geometrynoun(countable) Used other than figuratively or idiomatically: see complex, geometry.
geometrodynamicsnoun(physics) Any of several reformulations of general relativity that attempt to describe spacetime and associated phenomena completely in terms of geometry.

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