论文标题

一分为角角

Bisecting horn angles

论文作者

Koshkin, Sergiy

论文摘要

在欧几里得的元素中考虑了一个圆与切线之间的角角,欧几里得说它小于任何急性直流角。 Proclus已经在古代,想知道是否有可能将角角划分。自阿基米德(Archimedes)和阿波罗尼(Apollonius)时代以来,我们将提供一个在古代几何图形之内的一分化器。我们还将将其与现代引入的保形分配方法进行比较。

A horn angle between a circle and its tangent is considered in Euclid's Elements, and Euclid remarks that it is smaller than any acute rectilinear angle. Already in antiquity, Proclus wondered whether it is possible to bisect horn angles. We will give a construction of a bisector which was within the means of ancient geometers since the time of Archimedes and Apollonius. We will also compare it to the conformal bisection method introduced in modern times.

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