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A Difficult Converse

Published online by Cambridge University Press:  03 November 2016

J P. McCarthy
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Extract

If the bisectors of the base angles of a triangle are equal, the triangle is isosceles.

Several solutions of the problem are given in the Gazette for July 1932, and again in the issue of May 1933. It is stated in the former that the problem was mentioned in the Lady’s and Gentleman’s Diary of 1859 and of 1860. The history of the problem is interesting. It appears that it was first proposed in 1840 by Professor Lehmus of Berlin to Jacob Steiner, who had been Professor of Geometry at Berlin since 1834 and held that post until his death in 1863.

Type
Research Article
Information
The Mathematical Gazette , Volume 22 , Issue 251 , October 1938 , pp. 365 - 371
Copyright
Copyright © Mathematical Association 1938

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References

Page 365 of note * See also Gesammelte Werke, II, 1882.

Page 368 of note * See also Collected Works, I (ed. Baker, H. F., Cambridge, 1904)Google Scholar.

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