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单词 Inscribed angle
释义

Inscribed angle

中文百科

圆周角

圆周角C1与C2相等,C3与C4相等。同时C3的大小为圆心角α的一半。
The inscribed angle θ is half of the central angle 2θ that subtends the same arc on the circle (magenta). Thus, the angle θ does not change as its vertex is moved around on the circle (green, blue and gold angles).
Given the two points A and B, the set of points M in the plane for which the angle AMB is equal to α is an arc of a circle.  The measure of the angle AOB, where O is the center of the circle, is 2α.

在几何学中,当圆的两条割线在圆上相遇时,就会形成圆周角

一般来说,圆周角可被视为共用一个端点的两条弦。

圆周角的基本性质记载于《几何原本》第三卷的第20至22号命题。几何原本中的命题为:

  1. 圆周角大小为对同弧的圆心角一半
  2. 对同弧的圆周角等
  3. 共用一弦的两圆周角大小和为180°
英语百科

Inscribed angle 圆周角

The inscribed angle θ is half of the central angle 2θ that subtends the same arc on the circle (magenta). Thus, the angle θ does not change as its vertex is moved around on the circle (green, blue and gold angles).
Given the two points A and B, the set of points M in the plane for which the angle AMB is equal to α is an arc of a circle.  The measure of the angle AOB, where O is the center of the circle, is 2α.

In geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle

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更新时间:2025/6/20 18:12:48