The intuitive idea of a curve is that of the motion of a point in space. This idea summarizes the heritage of the ancient Greeks who used to think of curves as geometric figures characterized by specific geometric properties, as the conics, and the heritage of the XVIII century, when, with the development of mechanics, curves were thought of as the trace of a moving point.


Unit Tangent Vector Polygonal Line Curve Figure Simple Curve Multiplicity Function 
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© Birkhäuser Boston 2007

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