Otro
Normal sections and gauss map for the hyperbolic paraboloid
Autor
Galdrán, Adrián
Monterde, Juan
Resumen
Hyperbolic paraboloid, orthogonal plane, unit normal vector, unit sphere, differential equations The curve that is the intersection of the hyperbolic paraboloid with an is called the normal section. The Gauss map assigns to each point on the surface its unit normal vector, which lies on the unit sphere. This Demonstration shows that the image of a normal section of the hyperbolic paraboloid at the origin under the Gauss map is an arc of a great circle on the sphere Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática