Hostname: page-component-6bf8c574d5-xtvcr Total loading time: 0 Render date: 2025-02-23T21:37:30.780Z Has data issue: false hasContentIssue false
  • English
  • Français

Application of the Multiplication of Matrices to prove a Theorem in Spherical Geometry

Published online by Cambridge University Press:  20 January 2009

Chrystal
Chrystal
Affiliation:
University of Edinburgh
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The theorem in question is that if two of the diagonals of a spherical quadrilateral be quadrantal arcs, the third diagonal is also a quadrantal arc. (Fig. 31.)

Denote the direction cosines of the radius to the point 1 by l1, m1, n1, & c., and l1l2 + m1m2 + n1n2 by 12.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 2 , February 1883 , pp. 45 - 47
Copyright
Copyright © Edinburgh Mathematical Society 1883