Dynamical Tools in Differential Geometry. R. M. Falcón Department of Applied Mathematics I University of Seville Spain
[email protected] ABSTRACT At the university level, the wide possibilities of using GeoGebra in the field of Differential Geometry have yet to be explored. The complementation of algebraic and geometric tools and the possibility of using sliders related to the Euler’s angles and of generating tools which project 3D into 2D, open the implementation in GeoGebra, from a dynamical point of view, of a lot of concepts of the indicated field. In this sense, we will shown some tools and commands which have been implemented in the context of the subject called Mathematics for Building Construction II, corresponding to the Building Construction Engineering of the University of Seville. Specifically, it has been implemented the following concepts: Frenet-Serret frame, length arc, tangent line, normal plane, curvature and torsion, angle between curves, maximum slope of a curve and fundamental forms of a surface.
Keywords Differential Geometry. Dynamic Geometry Software. Technology in Mathematical Education.
