Intersection of a Surface and a Plane

This GeoGebra example demonstrates the intersection curve formed when a three-dimensional surface meets a plane. Core mathematical concepts include solid geometry, analytic geometry in 3D space, plane equations, and the geometric interpretation of surface–plane intersection as a shared locus of points. The construction relies on GeoGebra commands Plane to define the cutting plane and IntersectPath to compute the intersection curve; objects A, B, C and parameters a, b, c are used to specify the plane and surface characteristics. It is suitable for high school seniors and university STEM students, serving as a classroom demonstration for solid geometry, multivariable calculus visualization, and spatial reasoning training.