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词汇 Intercept theorem
分类 英语词汇 英语翻译词典
释义

Intercept theorem

中文百科

泰勒斯定理

泰勒斯定理:如果AC是直径,那幺∠ABC是直角。

泰勒斯定理以古希腊思想家、科学家、哲学家泰勒斯的名字命名,其内容为:若A, B, C是圆周上的三点,且AC是该圆的直径,那幺∠ABC必然为直角。或者说,直径所对的圆周角是直角。该定理在欧几里得《几何原本》第三卷中被提到并证明。

泰勒斯定理的逆定理同样成立,即:直角三角形中,直角的顶点在以斜边为直径的圆上。

英语百科

Intercept theorem 泰勒斯定理

The intercept theorem, also known as Thales' theorem (not to be confused with another theorem with that name), is an important theorem in elementary geometry about the ratios of various line segments that are created if two intersecting lines are intercepted by a pair of parallels. It is equivalent to the theorem about ratios in similar triangles. Traditionally it is attributed to Greek mathematician Thales.

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