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Published in:
2024 | OriginalPaper | Chapter
14. Spherical Trigonometry
Author : Alexander Arnfinn Olsen
Published in: Introduction to Celestial Navigation
Publisher: Springer Nature Switzerland
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Excerpt
Trigonometry is the branch of mathematics dealing with the relations between the angles and sides of a triangle and with the relevant functions of any angles. This chapter contains the following information, though readers are strongly advised to consult an appropriate textbook for fuller details.-
Spherical trigonometry definitions.
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Properties of a spherical triangle.
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The Solution of a spherical triangle.
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The cosine formula.
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The sine formula.
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Polar spherical triangles and the polar cosine rule.
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The four-part formula.
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Right-angled spherical triangles.
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Napier’s mnemonic rules for right-angled spherical triangles.
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Quadrantal spherical triangles.
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The versine and haversine.
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The haversine formula.
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The half-log haversine formula.
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Haversine/half log haversine solution—example.