三等分

The trisection problem is one of the three famous geometric problems of antiquity.
三等分角问题是古代三大几何问题之一。
The trisection of an angle can be done with a compass and straightedge according to the rules of Euclidean geometry.
根据欧几里得几何的规则，可以用圆规和直尺进行角的三等分。
In mathematics, a trisection is the division of something into three equal or nearly equal parts.
在数学中，三等分是指将某物分为三个相等或几乎相等的部分。
The trisection of a line segment can be achieved by constructing two equilateral triangles on it.
线段的三等分可以通过在其上构造两个等边三角形来实现。
The ancient Greeks were fascinated by the problem of trisecting an angle using only a compass and straightedge.
古希腊人对仅使用圆规和直尺三等分角的问题非常着迷。
The trisection of a circle can be approximated by dividing its circumference into three equal parts.
圆的三等分可以通过将其周长分成三个相等的部分来近似。
The concept of trisection can also be applied to other shapes, such as polygons and ellipses.
三等分的概念也可以应用于其他形状，如多边形和椭圆。
The impossibility of trisecting an arbitrary angle using only a compass and straightedge was proved by Pierre Wantzel in 1837.
仅使用圆规和直尺无法三等分任意角度的不可能性是由皮埃尔·旺策尔在1837年证明的。
The trisection of a rectangle can be done by drawing a diagonal and then dividing the resulting triangles into three equal parts.
矩形的三等分可以通过画一条对角线然后将产生的三角形分成三个相等的部分来完成。
In architecture, the golden ratio can be used to create visually pleasing trisections in building designs.
在建筑学中，黄金分割比可以用于创建视觉上令人愉悦的建筑物设计中的三等分。