I"m always on the look out for interesting mathematical "nuggets" that might lead to something suitable for a student Exploration (IA task). Here is a very interesting fact about the area of a parabolic segment for a particular family of parabolas.A region bounded by a parabola and a line intersecting the parabola at two distinct points (secant line) is a parabolic segment. Consider the area of a parabolic segment for...