Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-13T05:51:58.921Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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).