Phrase Hound found 49 phrases and 14 compound words that contain geometry. The most common are listed below. Open geometry in the live search for definitions, filters, and the full list.
Phrases 49
- geometry of numbersThe subbranch of number theory which applies techniques from geometry to the study of algebraic numbers.
- geometry of fearThe artistic style of an informal group or school of young British sculptors in the years after the Second World War, characterized by angular, jagged forms thought to reflect post-war angst and guilt.
- differential geometryThe study of geometry, especially geometric structures on differentiable manifolds, using techniques from calculus, linear algebra and multilinear algebra.
- Euclidean geometryThe familiar geometry of the real world, based on the parallel postulate.
- analytic geometryThe subbranch of geometry that investigates geometrical figures via the mathematical properties of their representations in a coordinate system.
- algebraic geometryA branch of mathematics that studies algebraic varieties (solution sets of polynomial equations) and their generalisations, using techniques from both algebra (chiefly commutative algebra) and geometry.
- spherical geometryThe geometry of the 2-dimensional surface of a sphere;
- non-Euclidean geometryAny system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience.
- complex geometryThe study of complex manifolds, complex algebraic varieties, and functions of several complex variables.
- tropical geometryA recent branch of geometry that can be described as a piecewise linear version of real algebraic geometry.
- affine geometryThe branch of geometry dealing with what can be deduced in Euclidean geometry when the notions of line length and angle size are ignored.
- plane geometryThe study of figures having parts that lie in a singular plane.
- finite geometryAny geometric system that has only a finite number of points.
- computational geometryA field of study, within computer science, devoted to algorithms that solve problems formulated in geometric terms.
- contact geometryGiven a smooth manifold of odd dimensionality, a distribution (subset) of the tangent bundle that satisfies the condition of complete nonintegrability, or equivalently may be locally defined as the kernel of a maximally nondegenerate …
- Klein geometryA type of geometry (mathematical object representing a space and its spatial relationships); a homogeneous space X together with a symmetry group which represents the group action on X of some Lie group;
- arithmetic geometryA 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).
- descriptive geometryA graphical protocol which creates three-dimensional virtual space on a two-dimensional plane.
- synthetic geometryGeometry without the use of coordinates, relying instead on proofs derived from axioms.
- projective geometryThe branch of mathematics that investigates those properties of figures that are invariant under homographies, special kinds of spaces called projective spaces, and the geometric structures that inhabit them.
- Riemannian geometryThe branch of differential geometry that concerns Riemannian manifolds; an example of a geometry that involves Riemannian manifolds.
- absolute geometryThe single (up to logical equivalence) geometry whose axiomatic system is equivalent to that of Euclidean geometry without the parallel postulate or any alternative.
- combinatorial geometryThe field of mathematics which examines extremal problems of a combinatorial nature expressed geometrically.
- birational geometryA field of algebraic geometry in which the aim is to determine under what conditions two algebraic varieties are isomorphic outside lower-dimensional subsets.
- affine differential geometryA type of differential geometry in which the differential invariants studied are invariant under volume-preserving affine transformations.
Compound words 14
- metageometrynon-Euclidean geometry
- pregeometryAn infinite finitary matroid.
- chronogeometryA form of relativistic geometry in which time is considered as a form of spatial coordinate
- geometrylikeResembling geometry.
- hypergeometryA geometry in more than three dimensions.
- macrogeometrymacroscale geometry
- microgeometryThe geometry (structure) of a surface whose elements are measured in microns
- morphogeometryThe geometry of form (in any of various contexts)
- nanogeometrynanoscale geometry (topographical features)
- neurogeometryThe geometry of the nervous system