After reading this question and the answers to it, I am interested o know who were the first mathematicians who started classifying singular points of curves: i.e. different kind of nodes, of cusps etc., and when it reached the stage of the classification we use today? For example, a classification already appears in "The elements of the differential calculus" from 1839 of Young, but it seems to draw its conclusions from an existing investigation. If so, where did it appear earlier?
Thank you, David