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2328. A property of the triangle

Published online by Cambridge University Press:  03 November 2016

M. P. Drazin
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Abstract

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Type
Mathematical Notes
Information
The Mathematical Gazette , Volume 37 , Issue 319 , February 1953 , pp. 55 - 57
Copyright
Copyright © The Mathematical Association 1953

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References

* We use here the convention that θ is to be measured in the positive (anti-colock-wise) sense about A from AB (though the line through A may well lie outside the triangle, and θ need not be restricted to lie in the range 0 ⩽ θ < 2π), and similarly for ϕ, ψ. The senses of the lines are, of course, irrelevant, since (2) is unaltered if we Increase any of the angles θ, ϕ, ψ by a π (or, indeed, by any multiple of π), while the condition of concurrency is also unaffected.

page 55 note * Vol. 34 (1950), note 2144, pp. 129-133.