ALGEBRAIC GEOMETRY


Meaning of ALGEBRAIC GEOMETRY in English

Study of geometric objects expressed as equations and represented by graphs in a given coordinate system .

In contrast to Euclidean geometry , algebraic geometry represents geometric objects using algebraic equations (e.g., a circle of radius r is defined by x 2 + y 2 = r 2 ). Objects so defined can then be analyzed for symmetries, intercepts, and other properties without having to refer to a graph.

Britannica Concise Encyclopedia.      Краткая энциклопедия Британика.