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 &math.r; is defined by &math.x;2 + &math.y;2 = &math.r;2). Objects so defined can then be analyzed for symmetries, intercepts, and other properties without having to refer to a graph.
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