Artzt parabola | Barycentric coordinate | Projective geometry | conic sections скачать в хорошем качестве

Artzt parabola | Barycentric coordinate | Projective geometry | conic sections

In this geometry deep-dive, we explore the Artzt parabola associated with a triangle—one of the most elegant ways a parabola appears naturally in projective geometry and conic sections. Starting from a clean geometric construction, we connect the envelope viewpoint (a moving line whose family “wraps” into a parabola) to an algebraic formulation in barycentric coordinates, where a bitangent family of conics provides a compact way to encode tangency constraints. Along the way, we highlight how classical triangle geometry, affine ideas (parallels), and projective tools (families of conics, tangency, and duality intuition) fit into one coherent picture. https://users.math.uoc.gr/~pamfilos/e... Source code: https://demonstrations.wolfram.com/Ar...