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科學通報第二卷第六期上登载華羅庚先生的一篇“三等分角問題”’這篇論文说明這個古老的問題是“不可能”而並非“未解决”,按歐氏幾何作圖的工具是限於一條無刻度的直尺及一圓規,使用這兩種工具的方法也有限制,即(一)兩點之間可连一線段,(二)線段可以任意延長,(三)以任意點為圓心以任意長為半徑可作一圓,一個圖形若經過有限次上面的三種作圖方法能作出,便稱這圖形是可以作出,否則便
In the sixth issue of the Science Bulletin, Volume II, a “trivial angle problem” of Mr. Hua Luogeng was published. This paper explains that this ancient problem is “impossible” and not “unresolved”. It is based on Euclidean geometry. The tool is limited to a ruleless ruler and a compass. There are also restrictions on the use of these two tools. (1) One line segment can be connected between two points, (2) Line segment can be extended arbitrarily, (3) Any point For a circle with an arbitrary length as a radius, a circle can be made. If a figure can be made after a limited number of the above three drawing methods, it can be said that this figure can be made. Otherwise,