Envelope of CurvesExplores the concept of envelope of curves within families of lines, including implicit equations, super-ellipses, and curvature.
Surfaces in SpaceExplores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
Surface of RevolutionExplains the parametric equations of surfaces of revolution generated by curves in space.
Arc Length ApproximationExplores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.
Curves and SurfacesCovers the representation of plane curves and the nature of obtained curves.