SOME PROBLEMS OF SPHERICAL TRIGONOMETRY

Topvoldiyev Fayzulla Foziljonovich; Tolipova Nozima Abduqahhor qizi

Authors

Topvoldiyev Fayzulla Foziljonovich Author
Tolipova Nozima Abduqahhor qizi Author

Abstract

This article discusses some theoretical problems of spherical trigonometry. The article provides the definition of a spherical angle, one of the fundamental concepts of spherical geometry. A theorem stating that a spherical angle is measured by the arc of a great circle is proved. In addition, important geometric results related to a great circle and its pole are presented. The paper also considers the concept of a spherical zone, its bases, and its height. Problems concerning the calculation of the lateral surface area of a spherical segment and a spherical zone are examined. The surface area generated by rotating a segment or a radius about an axis is analyzed. It is substantiated that the surface area of a sphere can be expressed as the product of its diameter and the circumference of a great circle. The theorems presented in the article serve as an important theoretical basis for studying spherical trigonometry. These results can be applied in spherical geometry, astronomy, navigation, and the solution of practical problems.

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