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圆外切四边形

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一個圓外切四邊形。

幾何學中,圓外切四邊形是指存在內切圓凸四邊形。換句話說若一個圓與凸四邊形的四個相切,則稱此四邊形為「圓外切四邊形」,此圓稱為四邊形的內切圓,此圓的圓心稱為四邊形的內心

並非所有的凸四邊形都是圓外切四邊形,每個四邊形至多有一個內切圓,也就是對於一個四邊形的內切圓而言,如果存在的話是唯一的。

性質

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一個凸四邊形是圓外切四邊形,若且唯若此四邊形的兩組對邊長度之和相等。

參見

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外部連結

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圆外切四边形
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