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Cyclic quadrilaterals

Published online by Cambridge University Press:  01 August 2016

C. J. Bradley
C. J. Bradley*
Affiliation:
6a Northcote Road, Bristol BS8 3HB
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Extract

In this article I review some of the more advanced results concerning cyclic quadrilaterals, including a number that are new to me and possibly, therefore, to readers. Proofs of theorems are not given, but I give a clear indication of the methods I have used to verify them. The Cabri software package has been used to indicate the correctness of each result. In certain cases the coordinate geometry involved is so complex that Derive had to be used in the proofs. One of the results I have been unable to prove, and this is therefore labelled as a conjecture, though the accuracy of Cabri, which allows figures to be dragged around, is such that we may be confident that it is true.

Type
Articles
Information
The Mathematical Gazette , Volume 88 , Issue 513 , November 2004 , pp. 417 - 431
Copyright
Copyright © The Mathematical Association 2004

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References

1. Wolstenholme, J., Mathematical Problems, Macmillan (1867).Google Scholar
2. Dwell, C.V., Modern Geometry, Macmillan (1946).Google Scholar
3. Rev. Milne, John J, Weekly Problem Papers, Paper LVI no. 5, p. 99, Macmillan (1886).Google Scholar
4. Rev. Milne, John J, Weekly Problem Papers, Paper XIX no. 5, p. 66, Macmillan (1886).Google Scholar