Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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On Spherical Trigonometry

구면삼각법에 관한 소고

  • Received : 2023.03.22
  • Accepted : 2023.04.14
  • Published : 2023.04.30
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Abstract

Spherical trigonometry refers to the geometry related to spherical triangles. It has been an important tool for studying astronomy since ancient times. In trigonometry, concepts such as trigonometric functions naturally emerge from the relationship between arcs and chords of a circle. In this paper, we briefly examine the origin of spherical trigonometry. To introduce the basics of spherical trigonometry, we present fundamental and important theorems such as Menelaus's theorem, the law of sines and the law of cosines on a sphere, along with their proofs. Furthermore, we discuss the educational value and potential applications of spherical trigonometry.

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Acknowledgement

이 논문은 2022 학년도 수원대학교 학술진흥연구비 지원에 의한 논문임.

References

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