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词汇 Circumdiameter
分类 英语词汇 英语翻译词典
释义

Circumdiameter

英语百科

Circumscribed circle

Circumscribed circle, C, and circumcenter, O, of a cyclic polygon, P
Construction of the circumcircle (red) and the circumcenter Q(red dot)
Alternate construction of the circumcenter (intersection of broken lines)

In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.

A polygon which has a circumscribed circle is called a cyclic polygon (sometimes a concyclic polygon, because the vertices are concyclic). All regular simple polygons, all isosceles trapezoids, all triangles and all rectangles are cyclic.

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