Pizza theorem ^{en}
In elementary geometry, the pizza theorem states the equality of two areas that arise when one partitions a disk in a certain way. Let p be an interior point of the disk, and let n be a number that is divisible by four and greater than or equal to eight. Form n sectors of the disk with equal angles by choosing an arbitrary line through p, rotating the line n/2 − 1 times by an angle of 2π/n radians, and slicing the disk on each of the resulting n/2 lines. Number the sectors consecutively in a clockwise or anticlockwise fashion. Then the pizza theorem states that: The sum of the areas of the odd numbered sectors equals the sum of the areas of the even numbered sectors. The pizza theorem is so called because it mimics a traditional pizza slicing technique. It shows that, if two people share a pizza sliced in this way by taking alternating slices, then they each get an equal amount of pizza. [  ]
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 披薩定理 ^{zhCN}
 
 http://de.wikipedia.org/wiki/index.html?curid=3455734
 http://de.wikipedia.org/wiki/PizzaTheorem
 http://en.wikipedia.org/wiki/Pizza_theorem
 http://pl.wikipedia.org/wiki/Twierdzenie_o_pizzy
 http://fr.wikipedia.org/wiki/Théorème_de_la_pizza
 http://zh.wikipedia.org/zhtw/披薩定理
 http://zh.wikipedia.org/wiki/index.html?curid=1242333
 http://zh.wikipedia.org/zhcn/披薩定理
 http://it.wikipedia.org/wiki/index.html?curid=4724763
 http://it.wikipedia.org/wiki/Teorema_della_pizza
 
 
 
 
 
 

 
 