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Last words on adventitious angles

Published online by Cambridge University Press:  22 September 2016

G. A. Q.
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Extract

The June 1975 Gazette (59, No. 408, 98-106) carried an article by Colin Tripp about the so-called “adventitious angles” problem: in the isosceles triangle in Fig. 1, for certain given values of the angles marked a, b, c, to find θ. Correspondence to which this gave rise was summarised in a “progress report” in March 1977 (61, No. 415, 55-58). This cleared up certain points raised by Tripp, using trigonometric methods; and its publication also had the desired effect of stimulating some further response, which has settled most of the outstanding questions. It seems now to be an appropriate time for the editor to produce a “final summary” for those readers who have taken an interest in the problem.

Type
Research Article
Information
The Mathematical Gazette , Volume 62 , Issue 421 , October 1978 , pp. 174 - 183
Copyright
Copyright © Mathematical Association 1978

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References

† Students of Gazette history will be interested in a remark by Mr Parry that the particular case (20, 60, 50; 30) was set as a problem by E. M. Langley in Gazette 11, 173 (Note 644, No. 160, October 1922); this became known as “Langley’s problem”. Solutions by twelve readers were published in 11, 321-323 (No. 164, May 1923). The pace of life was not always slower 50 years ago !