History of Mathematics
Curves refer to continuous, smooth paths in a plane or space, characterized by their bending and changing direction without any sharp angles. In the context of analytic geometry and number theory, curves represent the graphical representation of equations and relationships between variables, enabling mathematicians to visualize and analyze these mathematical expressions. Curves can reveal important properties of functions and equations, which can be further explored through concepts like tangents, intersections, and asymptotes.
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