Parametrized Curves and Algebraic Curves - Differential Geometry
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This lecture develops parametrizations of conics and more general algebraic curves, including several classical cubic examples. It also connects curve generation with four-bar and Watt linkages and the history of motion.
Syllabus
Introduction
Unit circle
Rational parameterization
Algebraic curves
Descartes cubic
Fourbar linkage
Watt linkage
Taught by
Insights into Mathematics