Jiucheng Zhong
Baoxing County Zhongba High School, Ya'an 625000, Sichuan, China.
*Corresponding author:Jiucheng Zhong
Abstract
In the study entitled “The Ruler and Compass Can Construct a Regular Nonagon and Polygons of the Third Power of 3” by the author, the construction method involves using the method of trisecting a 120-degree angle to create a third of the chord of the angle and two-thirds of the chord of the 60-degree angle as the sides of a regular nonagon. Using the same method, one can construct a 40-degree chord equal to the other two chords at these angles, which proves the universality and precision of the construction. However, both the construction and calculation processes are quite challenging. This new construction method avoids the need for repeated constructions and simplifies the calculations. Given a line segment, a regular nonagon can be constructed, and the side length of the regular nonagon can be calculated based on the given data. Additionally, the chord of the 60-degree angle can be set to be equal to the chord of the 120-degree angle, ensuring that the 40-degree chord of the 120-degree angle is an integer multiple of the 40-degree chord of the 60-degree angle.
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How to cite this paper
An Arbitrary Line Segment Can Be Made Equal to a Regular Nonagon
How to cite this paper: Jiucheng Zhong. (2025) An Arbitrary Line Segment Can Be Made Equal to a Regular Nonagon. Journal of Applied Mathematics and Computation, 9(3), 219-223.
DOI: http://dx.doi.org/10.26855/jamc.2025.09.008