Napoleon's problem
Napoleon's problem is a famous compass construction problem. In it, a circle and its center are given. The challenge is to divide the circle into four equal arcs using only a compass. Napoleon was known to be an amateur mathematician, but it is not known if he either created or solved the problem. Napoleon's friend the Italian mathematician Lorenzo Mascheroni introduced the limitation of using only a compass (no straight edge) into geometric constructions. But actually, the challenge above is easier than the real Napoleon's problem, consisting in finding the center of a given circle with compass alone. The following sections will describe solutions to both problems and proofs that they work.
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Napoleon's problem
Napoleon's problem is a famous compass construction problem. In it, a circle and its center are given. The challenge is to divide the circle into four equal arcs using only a compass. Napoleon was known to be an amateur mathematician, but it is not known if he either created or solved the problem. Napoleon's friend the Italian mathematician Lorenzo Mascheroni introduced the limitation of using only a compass (no straight edge) into geometric constructions. But actually, the challenge above is easier than the real Napoleon's problem, consisting in finding the center of a given circle with compass alone. The following sections will describe solutions to both problems and proofs that they work.
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25بك المحتوى هنا ينقصه الاستشه ...... حاجة للتوسيع. شارك في تحريرها.
@ar
El problema de Napoleón es un ...... tación de usar solo el compás.
@es
En géométrie plane, le problèm ...... dite de Napoléon exposée ici.
@fr
Het probleem van Napoleon is e ...... bruik te maken van een passer.
@nl
Napoleon's problem is a famous ...... was only rediscovered in 1928.
@en
Problem Napoleona – geometrycz ...... dkryto ją dopiero w 1928 roku.
@pl
Задача Наполеона — знаменитая ...... о была обнаружена лишь в 1928.
@ru
ナポレオンの問題(ナポレオンのもんだい、英:Napoleon ...... 等しい。以下では、真のナポレオンの問題の解とその略証を記す。
@ja
拿破崙問題(Napoleon's problem)是著名的圓 ...... 規就可以解決所有的尺規作圖,但此證明直到1928年才被發現。
@zh
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25بك المحتوى هنا ينقصه الاستشه ...... حاجة للتوسيع. شارك في تحريرها.
@ar
El problema de Napoleón es un ...... tación de usar solo el compás.
@es
En géométrie plane, le problèm ...... dite de Napoléon exposée ici.
@fr
Het probleem van Napoleon is e ...... bruik te maken van een passer.
@nl
Napoleon's problem is a famous ...... ems and proofs that they work.
@en
Problem Napoleona – geometrycz ...... dkryto ją dopiero w 1928 roku.
@pl
Задача Наполеона — знаменитая ...... х задач и даны доказательства.
@ru
ナポレオンの問題(ナポレオンのもんだい、英:Napoleon ...... 等しい。以下では、真のナポレオンの問題の解とその略証を記す。
@ja
拿破崙問題(Napoleon's problem)是著名的圓 ...... 規就可以解決所有的尺規作圖,但此證明直到1928年才被發現。
@zh
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Napoleon's problem
@en
Probleem van Napoleon
@nl
Problem Napoleona
@pl
Problema de Napoleón
@es
Problème de Napoléon
@fr
Задача Наполеона
@ru
مسألة نابليون
@ar
ナポレオンの問題
@ja
拿破崙問題
@zh