Intersection Curve of Two Cylinders: Cylinder-Cylinder Penetration

This GeoGebra example demonstrates the intersection curve produced when two cylinders penetrate each other, showing the spatial curve formed by the intersection of two cylindrical surfaces. It involves solid geometry, coordinate geometry, parametric surfaces, Cartesian curves, and the concept of surface intersection. The construction uses the Surface command to create the cylinders zyl_1 and zyl_2, and the CurveCartesian command to draw the intersection curves k_1 and k_2; objects such as r_1, r_2, l_1, and l_2 likely define radii, axes, or auxiliary lines, while Text1 through Text5 provide labels. It is suitable for high school solid geometry, university analytic geometry, or technical drawing courses for visualizing cylinder intersections and teaching surface curves.