“The equal internal bisectors theorem, 1840-1940. … Many solutions or none?” A centenary account-Reference-Cited by-同舟云学术

“The equal internal bisectors theorem, 1840-1940. … Many solutions or none?” A centenary account

Published:1943-01 Issue: Volume:33 Page:1-13
ISSN:0950-1843
Container-title:Edinburgh Mathematical Notes
language:en
Short-container-title:Edinb. Math. Notes

Author:

M'Bride James A.

Abstract

This paper contains (i) a short history of the geometrical theorem proposed in 1840 by Prof. Lehmus of Berlin to Jacob Steiner—“If BJY, CJZ are equal bisectors of the base angles of a triangle ABC, then AB equals AC,” (ii) a selection of some half-dozen solutions from the 50 or 60 that have been given, (iii) some discussion of the logical points raised, and (iv) a list of references to the extensive literature of the subject.

Publisher

Cambridge University Press (CUP)

Reference35 articles.

1. 1903–1904. Bulletin des Sciences Math. et Phys. Elem., p. 195.

2. 1850. XV. (T. Lange, Lehmus, W. Mink): 1851, XVI. (Balizer, Seebeck, August, Zech).

3. 1935. XIX. 144 (J. W. Stewart): 1937, XXI. 52, 153 (two by Thébault).

4. 1913. Proof by J. W. Stewart, Ayr Academy.

5. 1932. XVI. 200 (Newell): 1933, XVII. (122, 243) (Boon, Dobbs).

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