Heavenly Mathematics: The Forgotten Art of Spherical TrigonometrySpherical trigonometry was at the heart of astronomy and oceangoing navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegant proofs and often surprising conclusions.

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Contents
1 Heavenly Mathematics  1 
2 Exploring the Sphere  23 
3 The Ancient Approach  42 
4 The Medieval Approach  59 
RightAngled Triangles  73 
Oblique Triangles  94 
7 Areas Angles and Polyhedra  110 
Other editions  View all
Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry Glen Van Brummelen Limited preview  2012 
Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry Glen Van Brummelen Limited preview  2017 