Following Glen Van Brummelen (Reference 1 below, p. 129, stereographic projection), spherical trigonometry, though certainly no longer relevant to the older scientific needs of navigation, astronomy, geography, etc., other than as historical mathematics, has nevertheless seen a "rebirth" today due to simulation, game programming, Autodesk Maya, kinematics, physics engines, and many other new fields as diverse as optics, photography, art and medicine.
Glen Van Brummelen (Glen) is an expert in the history of Greek and other early mathematics.
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