Curvature and Osculating Circle for a 2D Parametric Curve in GeoGebra
Автор: turksvids
Загружено: 2020-02-01
Просмотров: 2243
In this video we use GeoGebra to graph a 2D parametric curve, a point on the curve, and the osculating circle of the curve at the point. We can then animate the point and watch the osculating circle change. In Graphics 2 we add a function that calculates the curvature of the function at the point. Once we're done we can watch the relationship between the curvature of the function and the radius of the osculating circle.
Key things to know: graphing functions, points, sliders, osculating circles, curvature.
This is a topic you might encounter in a Calculus III, Multivariable, or Vector Calculus class, depending on the course name!
You can play around with GeoGebra in your web browser at GeoGebra.org
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