Skip to main content
SpringerLink
Log in

The law of sines for tetrahedra and n-simplices

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Bibliography

  1. Allendoerfer, C., ‘Generalizations of Theorems about Triangles’, Math. Mag. 38, 253–259 (1965).

    Google Scholar 

  2. Carnot, L. N. M., Géométrie de Position, Paris, 1803.

  3. Coxeter, H. S. M., Non-Euclidean Geometry, Toronto, 1942.

  4. Dörband, W., ‘Determinantensätze und Simplexeigenschaften’, Math. Nachr. 44, 295–304 (1970).

    Google Scholar 

  5. Eriksson, F., ‘Sinus-och cosinusteoremen för tetraedrar och n-simplex’, Nord. Mat. Tidskr. 21, 129–137 (1973).

    Google Scholar 

  6. Euler, L., Nov. Comm. Petr. 4, 158 (1752–53).

    Google Scholar 

  7. Grassmann, H., Die Ausdehnungslehre, Berlin, 1862.

  8. Joachimsthal, F., ‘Sur quelques applications des déterminants à la Géométrie’, J. Math. (Crelle) 40, 21–47 (1850).

    Google Scholar 

  9. Junghann, G., ‘Beiträge zur Tetraedrometrie’, Arch. Math. Phys. (Grunert) 34, 369–396 (1860).

    Google Scholar 

  10. Junghann, G., Tetraedrometrie I–II, Gotha, 1862–63.

  11. d'Ovidio, E., ‘Le funzioni metriche fondamentali negli spazi di quante si vogliano dimensioni e di curvatura costante’, Mem. R. Acc. Lincei (3) 1, 929–986 (1877). (A shorter French version of this paper in Math. Ann. 12, 403–418 (1877).)

    Google Scholar 

  12. Schläfli, L., ‘Theorie der vielfachen Kontinuität’, in Ges. Math. Abh., vol. I, Basel, 1950.

  13. Schoute, P.H., Mehrdimensionale Geometrie I, Leipzig, 1902.

  14. Shilov, G., An Introduction to the Theory of Linear Spaces, Englewood Cliffs, 1961.

  15. Sommerville, D.M.Y., An Introduction to the Geometry of n Dimensions, London, 1929.

  16. Study, E., ‘Über Distanzrelationen’, Z. Math. Phys. 27, 140–155 (1882).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Mathematics, Chalmers University of Technology and the University of Göteborg, S-40220, Göteborg, Sweden

    Folke Eriksson

Authors
  1. Folke Eriksson
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eriksson, F. The law of sines for tetrahedra and n-simplices. Geom Dedicata 7, 71–80 (1978). https://doi.org/10.1007/BF00181352

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00181352

Search

Navigation