Elements of the parabola in the three-dimensional space and applications in teaching through a project based on reflection of light

This work, structured in two main parts, is devoted to the parabola topic. In first, elements of a are reviewed by linking definition intersection plane and cone with locus plane. The necessary transformations for calculation as curve space pointed out well historical notes properties light included. second part, applications teaching at high school level or university courses explained. A project based on reflection proposed that seeks connect various subjects line new educational paradigm development key competencies, joining different fields knowledge. For courses, linear algebra obtained establishment relationships between analytical geometry rotation translation planes, dihedral system taught technical drawing subjects. As conclusion, it from approaches allows complete learning diverse knowledge, even topics mathematics, an essential factor thought any level.