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Optimum Statistical Analysis on Sphere Surface

In: Geometry and Non-Convex Optimization

Author

Listed:
  • Christos Kitsos

    (University of West Attica)

  • Stavros Fatouros

    (University of West Attica)

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).

Suggested Citation

  • Christos Kitsos & Stavros Fatouros, 2025. "Optimum Statistical Analysis on Sphere Surface," Springer Optimization and Its Applications, in: Panos M. Pardalos & Themistocles M. Rassias (ed.), Geometry and Non-Convex Optimization, pages 183-201, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-87057-6_7
    DOI: 10.1007/978-3-031-87057-6_7
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