(geometry, uncountable) The geometry of the 2-dimensional surface of a sphere;

(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.

(mathematics) A 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.

(geometry) A US spelling of non-Euclidean geometry.

(mathematics) a branch of mathematics that investigates those properties of figures that are invariant when projected from a point to a line or plane

(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.

(geometry) A type of geometry that rejects the parallel postulate. Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L.

(geometry) The branch of geometry concerned with inversion transformations, specifically circle inversions in the Euclidean plane, but also as generalised in non-Euclidean and higher-dimensional spaces.

The study of figures having parts that lie in a singular plane.

The ascription of symbolic and sacred meanings to certain geometric shapes and proportion, associated with the belief that a god is the geometer of the world.