Two sets A and B are said to be equidecomposable if you can partition set A into a finite number of subsets...
Continue reading...unit circle
Chords of an Ellipse
Consider N equally spaced on points on the unit circle, with the point P=(1,0) as one of these equally spaced...
Continue reading...Arclength Surprise
Consider a unit circle, and any arc S on the unit circle in the first quadrant. No matter where S is...
Continue reading...Chords of a Unit Circle
Take N equidistant points on the unit circle. Pick one of those points, then draw chords from it to all...
Continue reading...Area of a Hyperbolic Wedge
The unit circle can be parametrized by (cos w, sin w). Given a point on it, the region cut out...
Continue reading...Area of an Ellipse
You know the formula for the area of a circle of radius R. It is Pi * R2. But what...
Continue reading...