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Publishing Language: Chinese | Open Access

Rational points on a circle

Ziting WANG( ), Xuhui WEI, Yixin ZHU( )
School of Mathematical Sciences, Capital Normal University, Beijing 100048
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Abstract

In this paper, rational points and integer points on a circle are studied. By classifying circles with rational and irrational centers, we propose some methods for counting the number of rational or integer points on different types of circles. In addition, we illustrate some of the theorems and corollaries with examples.

Keywords

circlerational pointsinteger points

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Journal of Capital Normal University (Natural Science Edition)
Volume 45 Issue 1,
February 2024
Pages 9-19
DOI: 10.19789/j.1004-9398.2024.01.002

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WANG Z, WEI X, ZHU Y. Rational points on a circle. Journal of Capital Normal University (Natural Science Edition), 2024, 45(1): 9-19. https://doi.org/10.19789/j.1004-9398.2024.01.002

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Received: 12 April 2023
Published: 01 February 2024
© The editorial department of Journal of Capital Normal University (Natural Science Edition) 2025.

This is an open access article under the CC BY-NC-ND 4.0 license (https://creativecommons.org/licenses/by-nc-nd/4.0/).