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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 x2 + y2 = r2). Objects so defined can then be analyzed for symmetries, intercepts, and other properties without having to refer to a graph.
This entry comes from Encyclopædia Britannica Concise. For the full entry on algebraic geometry, visit Britannica.com.