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96.38 Evaluating integrals using polar areas

Published online by Cambridge University Press:  23 January 2015

Nick Lord*
Affiliation:
Tonbridge School, Kent TN9 1JP

Abstract

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Type
Notes
Copyright
Copyright © The Mathematical Association 2012

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References

1. Blyth, M., Did Kepler know this?, Math. Gaz. 91 (July 2007) pp. 332334.Google Scholar
2. Lord, N., Pictorial integration of cos2 θ and sec2 θ, Math. Gaz. 80 (November 1996) p. 583.CrossRefGoogle Scholar
3. Gardner, M., Mathematical carnival, Penguin (1978) Chapter 18.Google Scholar
4. Bellos, A., Alex's adventures in numberland, Bloomsbury (2010) pp. 206211.Google Scholar
5. Young, R. M., On the area enclosed by the curve x4 + y4 = 1, Math. Gaz. 93 (July 2009) pp. 295299.Google Scholar
6. Borwein, J. M. and Borwein, P. B., Pi and the AGM, John Wiley (1987) pp.57.Google Scholar
7. Lord, N., Recent calculations of π: the Gauss-Salamin algorithm, Math. Gaz. 76 (July 1992) pp. 231242.Google Scholar
8. Gauss, C. F., Werke – Band III, Göttingen (1866) pp. 352–353, pp. 361403. [Available on-line in the GDZ Archive at http://gdz.sub.uni-goettingen.de/en ]Google Scholar
9. Lawrence, J. D., A catalog of special plane curves, Dover (1972) pp. 139141.Google Scholar