Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-27T18:37:03.423Z Has data issue: false hasContentIssue false
  • English
  • Français

The Problem of Apollonius1

Published online by Cambridge University Press:  20 November 2018

H. S. M. Coxeter
H. S. M. Coxeter*
Affiliation:
University of Toronto
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.

On behalf of the Canadian Mathematical Congress, I wish to thank the University of Toronto for its hospitality, the members of the Local Arrangements Committee (especially Chandler Davis) for the many comforts and pleasures they have provided, and our nine distinguished visitors for the courses of lectures they gave at our Seminar.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 1 , April 1968 , pp. 1 - 17
Copyright
Copyright © Canadian Mathematical Society 1968

Footnotes

1

Presidential address delivered to the Canadian Mathematical Congress at the joint meeting with the Mathematical Association of America in Toronto, August 28, 1967.

References

1. Beecroft, Philip, Properties of circles in mutual contact, Lady's and Gentleman's Diary, 1842, pp. 91-96; 1846, p. 51.Google Scholar
2. Court, N. A., College Geometry (2nd end., New York, 1952).Google Scholar
3. Coxeter, H. S.M., A geometrical background for de Sitter's world, Amer. Math. Monthly, 50 (1943), pp. 217-228.Google Scholar
4. Coxeter, H. S.M. Introduction to Geometry (Wiley, New York, 1961).Google Scholar
5. Coxeter, H. S.M. Geometry, In vol. 3 of T. L. Saaty's Lectures on Modern Mathematics (Wiley, New York, 1965).Google Scholar
6. Coxeter, H. S.M. Inversive distance, Annali di Matematica (4), 71 (1966), pp. 73-83.10.1007/BF02413734Google Scholar
7. Coxeter, H. S.M. and Greitzer, S.L., Geometry Revisited (New Mathematical Library, vol. 4, New York and Syracuse, 1967).Google Scholar
8. Descartes, René, Œuvres, Publiées par C. Adam et P. Tannery, vol. 4 (Paris, 1901).Google Scholar
9. Du Val, Patrick, Geometrical note on de Sitter's World, Phil. Mag. (6), 47 (1924), pp. 930-938.10.1080/14786442408565277Google Scholar
10. Heath, Thomas, A history of Greek mathematics, vol. 2 (Oxford, 1921).Google Scholar
11. Johnson, R.A., Advanced Euclidean geometry (New York, 1960).Google Scholar
12. Muirhead, R.F., On the number and nature of the solutions of the Apollonian contact problem, Proc. Edinburgh Math. Soc., 14 (1896) pp. 135-147.10.1017/S0013091500031898Google Scholar
13. Pedoe, Daniel, On a theorem in geometry, Amer. Math. Monthly, 74 (1967) pp. 627-640.10.1080/00029890.1967.12000012Google Scholar
14. Soddy, Frederick, The kiss precise, Nature 137 (1936), p. 1021.Google Scholar
15. Spencer, Herbert, Autobiography, vol. 1 (New York, 1904).Google Scholar
16. Study, Eduard, BeitrȨge zur nicht-euklidische Gèomètrie, Amer. J. Math., 29 (1907), pp. 101-167.10.2307/2370031Google Scholar