Hostname: page-component-76fb5796d-vfjqv Total loading time: 0 Render date: 2024-04-26T06:12:00.801Z Has data issue: false hasContentIssue false

The Brocard and Tucker Circles of a Cyclic Quadrilateral

Published online by Cambridge University Press:  20 January 2009

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.

The application of the geometrical properties of the Brocard and Tucker circles of a triangle to a quadrilateral appears never to have been adequately worked out, as far as the author can discover. Hence, the object of this paper.

Some of the problems involved have been published, under the author's name, as independent questions for solution, and where, in the author's opinion, solutions other than his own have seemed more satisfactory for the logical treatment of the subject, these solutions have been employed, with due acknowledgments to their authors.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1917

References

* Vide the author's note in Mathematical Gazette, Vol. IX., pp. 8385.Google Scholar

* Mathematical Questions and Solutions (F. Hodgson, London), Vol. 2, p. 47.

* Mathematical Questions and Solutions (F. Hodgson, London), Vol. 3, pp. 2–3.