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Length: 50 Minutes Presenter: Dr. Robert Lopez Product: Maple
Given a plane curve r(t) , its evolute R(t) is another plane curve defined in one of two ways, either as the locus of the centers of curvature, or as the envelope of the normal lines along r. The curve also generates an infinite family of involutes, curves whose tangents are orthogonal to r. Thus, r...
Length: 41 Minutes Presenter: Dr. Robert Lopez Product: Maple
Curvature of a plane curve is defined in an elementary integral calculus course as the magnitude of the rate of change of the angle a tangent makes with the horizontal. Some texts for this course go on to define the osculating circle as the tangent circle whose radius equals the curvature. The cente...
Length: 7 Minutes Presenter: Daniel Skoog Product: Maple