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The document defines and discusses smooth curves. A curve is smooth if it has a tangent line at each point where the slope changes continuously. A parametric curve is smooth if its derivative exists and is continuous and non-zero. The unit tangent vector T gives the direction of the tangent line and is defined as the derivative of the curve normalized to have unit length. The principal normal vector N is the normalized derivative of the unit tangent vector and is perpendicular to T. Examples are given of ca

Author

slowjams

Language

EN