Jordan curve - Jordan curve

Japanese: ジョルダン曲線 - ジョルダンきょくせん（英語表記）Jordan curve

A curve is a closed Jordan curve, also called a simple curve. When a continuous curve has no duplicate points, that is, when there is a one-to-one correspondence between each parameter t in the closed interval [ a , b ] and the points on the curve, the curve is called a Jordan curve. When a curve has no duplicate points and the starting point t = a and the ending point t = b are the same, the curve is called a closed Jordan curve (simple closed curve).

Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information

Japanese:

単一曲線 simple curveともいう。連続曲線が重複点をもたないとき，すなわち，閉区間 [a，b] における各媒介変数 t と曲線上の点とが一対一に対応しているとき，この曲線のことをジョルダン曲線という。また重複点をもたず，しかも始点 t＝a と，終点 t＝b が一致するとき，この曲線をジョルダン閉曲線 (単一閉曲線) という。

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