Euclidean Geometry and Calculus

In some moods, i think of it almost more as physics than math. One of my favorite things to teach student is the connection made in the seventeenth century by descart between algebra and geometry. There's also euclidian drometry, which is a whole philosophy an end of itself. And somewhere, you know, you could teach also with applications. So there's places at different levels for geometry. Euclidean geometry can be done really early. It's really hard, but it really trains the mind.