Optimum Statistical Analysis on Sphere Surface

Christos Kitsos () and Stavros Fatouros ()
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Christos Kitsos: University of West Attica
Stavros Fatouros: University of West Attica

A chapter in Geometry and Non-Convex Optimization, 2025, pp 183-201 from Springer

Abstract: Abstract The idea of a “triangulus sphaericus”, that is, a spherical triangle, so essential in astronomy and geodesy was introduced by Johannes Werner (1468–1528), who replaced the term “triangulus ex arcubus ciculorrum magnorum”, i.e. a triangle formed from arcs of maximum cycles. The latin term “trilaterum” was adopted from Pappus (290–350), who used the term “three sided on a sphere”. Therefore, it is obvious that since the early times, the sphere attracted interest, mainly due to spherical astronomy as celestial coordinate system and time. Observation of celestial objects provided food for thought for astrological purposes related to navigation, as well as defining the time keeping of that (see also Appendix 3).

Date: 2025
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DOI: 10.1007/978-3-031-87057-6_7

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