Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-03T00:03:50.765Z Has data issue: false hasContentIssue false
  • English
  • Français

Beyond domes, umbrellas and tents

Published online by Cambridge University Press:  23 January 2015

Vera L. X. Figueiredo ,
Margarida P. Mello  and
Sandra A. Santos
Vera L. X. Figueiredo
Affiliation:
Mathematics Department, IMECC, University of Campinas, Campinas, São Paulo, Brazil, e-mail:[email protected]
Margarida P. Mello
Affiliation:
Applied Mathematics Department, IMECC, University of Campinas, Campinas, São Paulo, Brazil, e-mail:[email protected]
Sandra A. Santos
Affiliation:
Applied Mathematics Department, IMECC, University of Camp inas, Campinas, São Paulo, Brazil, e-mail:[email protected]
Get access Rights & Permissions [Opens in a new window]

Extract

Do the following objects shown on the cover belong together?

We will argue that they do bear a certain kinship, sharing the common gene of cylindrical intersection. In fact, we hope this essay will awaken in the reader the ability to discern several other members of this family in the world around him or her.

Cylinder intersection is used widely in construction. Beautiful examples abound in old world architecture, for instance the famous Florence cathedral in Figure 1.

Type
Articles
Information
The Mathematical Gazette , Volume 94 , Issue 529 , March 2010 , pp. 51 - 61
Copyright
Copyright © The Mathematical Association 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Bello, A. J. Lo, The volumes and centroids of some famous domes, Mathematics Magazine 61 (1988) pp. 164–170.Google Scholar
2. Straffin, P. (ed.), Volumes and Hypervolumes, Applications of calculus, Resources for Calculus Collection, MAA Notes 29 (1993) pp. 137–151.Google Scholar
3. DeTemple, D. W., An Archimedean property of the bicylinder, College Mathematics Journal 25 (1994) pp. 312–314.Google Scholar
4. Edwards, C.H Jr., The historical development of the calculus, Springer- Verlag (1979).Google Scholar
5. Edwards, C.H Jr., and Penney, D. E., Calculus with analytic geometry (5th edn.), Prentice-Hall (1998).Google Scholar
6. Stewart, J., Calculus (3rd edn.), Brooks/Cole (1994).Google Scholar
7. Figueiredo, V. L. X., Mello, M. P., and Santos, S. A., Doublecakes: an Archimedean ratio extended, College Mathematics Journal 38 (2007) pp.135–138.Google Scholar