geometry

1. (mathematics, uncountable) The branch of mathematics dealing with spatial relationships.Examples: "ANY problem in geometry can easily be reduced to such terms that a knowledge of the lengths of certain straight lines is sufficient for its construction."uncountable

2. (mathematics, often qualified in combination, countable) A mathematical system that deals with spatial relationships and that is built on a particular set of axioms; a subbranch of geometry which deals with such a system or systems.Examples: "1975 [Addison-Wesley], Eugene F. Krause, Taxicab Geometry, 1986, Dover, page 64, Entire new geometries are also suggested by real-world cities."; "Finite geometries were developed in the late nineteenth century, in part to demonstrate and test the axiomatic properties of completeness, consistency, and independence."; "Previous theorists have often tried to test whether visual space is best described by a small set of traditional geometries, such as the Euclidean geometry most of us studied in High School or the hyperbolic and spherical geometries introduced by 19ᵗʰ-century mathematicians."countable

3. (countable) The observed or specified spatial attributes of an object, etc.Examples: "The inset of figure 1 shows the geometry of the samples. They are 4.6 mm long and 0.4 mm wide."; "Also, certain SCSI controllers need to be told where to find drive geometry in order for Linux to recognize the layout of your drive."; "He was extremely highly regarded, in view of his many greatly impressive, sometimes revolutionary, contributions to the understanding of the physics and the geometry of the universe."countable

4. (algebraic geometry, countable) A mathematical object comprising representations of a space and of its spatial relationships.countable