Build a curvilinear contour (OpenGL/Three.js/WebGL)

Using any graphics library (Three.js, WebGL, OpenGL, etc):
Create a curvilinear contour modeling system with smoothness
of the first order by one of the following methods:
1. Bezier curves of the second order
2. Bezier curves of the third order
3. Curves of the second order given in engineering form
4. Arcs of ellipses
5. Hyperbola arcs
6. Arcs of a parabola