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A Formula in Inequalities

Published online by Cambridge University Press:  03 November 2016

H. Lob
H. Lob*
Affiliation:
Manchester Grammar School
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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

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