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Marden's Theorem concerns the relative positions of the roots of a cubic polynomial and those of its derivative. This article gives a proof of Marden's theorem, along with dynamic geometry animations and some of the history of the result.
This article looks at several geometric, straightedge-and-compass constructions for trisecting a line segment, comparing them based on the numbers of lines or circles required for the construction.
A mathlet that illustrates the relationship between the graphs of the natural sine and cosine curves and the vertical and horizontal coordinates of points on the unit circle.
This article discusses parameterized knots (polynomial and trigonometric) and includes an interactive gallery of selected knots and their equations.