Unformatted text preview: 2.2 Parametrized Curves Parametrized Curves in the Plane There are two distinct ways of specifying a curve in the plane. In classical geometric studies, a curve is given in a static way, either as the intersection of the plane with another surface (like the conical surface in Apollonius) or by a geometric condition (like ²xing the distance from a point or the focus-directrix property in Euclid and Pappus). This approach reached its modern version in the seventeenth century with Descartes’ and Fermat’s formulation of a curve as the locus of an equation in the coordinates of a...
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- Fall '08
- Calculus, Standard form, Parametrized Curves