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...

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