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Two Inequalites for a Triangle

Published online by Cambridge University Press:  03 November 2016

J. A. Kalman
J. A. Kalman*
Affiliation:
University of Auckland, P.O. Box 2175, Auckland C.1, New Zealand
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Extract

If a, b, and c are the sides of a triangle then

We shall prove an inequality in the reverse direction.

We shall also prove that

Type
Research Article
Information
The Mathematical Gazette , Volume 47 , Issue 361 , October 1963 , pp. 224 - 225
Copyright
Copyright © Mathematical Association 1963

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References

page 225 note * This inequality has been discussed in previous issues of the Gazette by G. N. Watson (Vol. 37 p. 245, Vol. 39 p. 207), E. H. Neville (Vol. 40 pp. 216, 288), E. M. Wright (Vol. 40 p. 217), and C. C. H. Barker (Vol. 43 p. 127). The present form of the inequality is given by S. Barnard and J M. Child, Higher Algebra (London, 1936) p. 226 Ex. 23 (i).