A region with a constant perimeter has the largest area if it is a circle. This type of problem is called an isoperimetric problem. It is a historical problem in the calculus of variations. It is also called Dido's problem, named after the founding myth of Carthage. Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information |
周が一定の領域で面積が最大になるのは円の場合である。この種の問題を等周問題という。変分法で歴史的な問題である。カルタゴの建国神話にちなんで,ディドの問題とも呼ばれる。
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