Recorded Webinars

Evolute of a Space Curve

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...

evolute

spacecurve

involute

Osculating Plane, Circle, and Sphere for a Space Curve

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...

spacecurve

integral

calculus

circle

circle

Building Plot Animations

Length: 7 Minutes
Presenter: Daniel Skoog
Product: Maple

animation

shape

spacecurve