La courbe des tangentes à une courbe - Liceo Scientifico R. Bruni (Padova)

Let us consider the dual space which guarantees that a line of a space can be represented as a point in another space. In other words, the straight line $y=mx+q$ becomes the point $\left( m, q \right)$. Let the former be the Euclidean space and let call the latter the dual world. We study what tangents lines to Euclidean conics and other curves are turned in.