Cylinder and Hyperboloid Intersection Construction

This example demonstrates the spatial intersection curve between a cylinder and a one-sheet hyperboloid. The core mathematical concept involves surface intersection in solid geometry and parametric equations for describing space curves. Construction highlights: Using the CurveCartesian command to draw parametric curves representing the intersection, with Vector tools for spatial positioning. Objects include curve parameter t, cylinder radius r, hyperboloid parameters a/b/c, etc. Suitable for high school to university-level coordinate geometry and solid geometry teaching, helping students understand how spatial surface intersections are formed and master parametric equations for describing 3D curves.