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Curve
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Curve

Mathematical idealization of the trace left by a moving point

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Night Train Media (1) · Curve (1) · BossaNova Media (1) · Eccho Rights (1) · Chess Masters (1) · stake exit (1) · production companies (1) · media investments (1)

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In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight. Intuitively, a curve may be thought of as the trace left by a moving point. This is the definition that appeared more than 2000 years ago in Euclid's Elements: "The [curved] line is […] the first species of quantity, which has only one dimension, namely length, without any width nor depth, and is nothing else than the flow or run of the point which […] will leave from its imaginary moving some vestige in length, exempt of any width." This definition of a curve has been formalized in modern mathematics as: A curve is the image of an interval to a topological space by a continuous function.

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