Pizza-Theorem

The pizza theorem is a mathematical theorem in plane geometry. It describes an area of equality that arises at a certain decomposition of the circuit into sub-areas.

If you put through any interior point of a circle straight line ( ), so that two adjacent lines intersect each at an angle of, we obtain a decomposition of the circle in space. If this now numbered clockwise, so the sum of the areas with even numbers is equal to the sum of the areas of the odd numbers.

The name of the theorem stems from the cutting technique that lets you cut üblicherweile a round pizza into pieces. Putting the knife held at the center at any other point of the pizza, so it has exactly the above situation.

Swell

• Eric W. Weisstein: pizza theorem. In: MathWorld (English).
• Larry Carter, Stan Wagon: Proof without Words: Fair Allocation of a pizza. Mathematics Magazine, Vol 67, No. 4 (Oct., 1994), p. 267
• Source collection for pizza theorem (English)

• Plane Geometry
• Set ( mathematics)