Pizza theorem
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 anti-clockwise fashion. Then the pizza theorem states that:
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Pizza theorem
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 anti-clockwise fashion. Then the pizza theorem states that:
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Das Pizza-Theorem ist ein math ...... man genau die obige Situation.
@de
Em geometria, o teorema da piz ...... consegue uma mesma quantidade.
@pt
En géométrie euclidienne, le t ...... elle de découpage d'une pizza.
@fr
Il teorema della pizza è un te ...... mangeranno la stessa quantità.
@it
In elementary geometry, the pi ...... get an equal amount of pizza.
@en
Twierdzenie o pizzy (ang. pizz ...... oby tak, aby był sprawiedliwy.
@pl
披薩定理是平面几何学中的一个定理。它指出，如果以圆盘中任意一 ...... 说明，当两个人用以上的方法分披萨的时候，谁能拿到更多的披萨。
@zh
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Das Pizza-Theorem ist ein math ...... Flächen mit ungeraden Nummern.
@de
Em geometria, o teorema da piz ...... os setores numerados pares ().
@pt
En géométrie euclidienne, le t ...... elle de découpage d'une pizza.
@fr
Il teorema della pizza è un te ...... mangeranno la stessa quantità.
@it
In elementary geometry, the pi ...... the pizza theorem states that:
@en
Twierdzenie o pizzy (ang. pizz ...... erzchni fragmentów parzystych.
@pl
披薩定理是平面几何学中的一个定理。它指出，如果以圆盘中任意一 ...... 说明，当两个人用以上的方法分披萨的时候，谁能拿到更多的披萨。
@zh
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Pizza theorem
@en
Pizza-Theorem
@de
Teorema da pizza
@pt
Teorema della pizza
@it
Théorème de la pizza
@fr
Twierdzenie o pizzy
@pl
披薩定理
@zh
