Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-14T07:35:46.603Z Has data issue: false hasContentIssue false
  • English
  • Français

A Formula in Inequalities

Published online by Cambridge University Press:  03 November 2016

H. Lob
H. Lob*
Affiliation:
Manchester Grammar School
Get access Rights & Permissions [Opens in a new window]

Extract

If particles of positive mass lie on a continuous curve whose concavity is always upwards, their centroid clearly lies above the curve and below the chord joining the extreme particles.

This obvious property gives a simple formula which includes several of the standard inequalities of the Algebra text-books.

Type
Research Article
Information
The Mathematical Gazette , Volume 12 , Issue 168 , January 1924 , pp. 15 - 17
Copyright
Copyright © Mathematical Association 1924

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.)