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Some Properties of the Nine-Points Circle

Published online by Cambridge University Press:  03 November 2016

Extract

Prologue. This article began in an attempt, for purposes which shall be nameless to find the result of inverting a triangle and associated lines and circles with respect to its nine-points circle. The work outran its aim, and I now present it from a quite different starting-point.

Type
Research Article
Copyright
Copyright © Mathematical Association 1947

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References

page 266 note * See an article by the author on pp. 46-9, and by Dr. D. Pedoe on pp. 210-15, of Math. Gazette, vol. XXI (1937).

page 266 note ‡ Note that the whole configuration is determined (in two ways) if the circles β, γ are given.