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XV.—Essay towards a General Solution of Numerical Equations of all Degrees having Integer Roots

Published online by Cambridge University Press:  17 January 2013

H. F. Talbot
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Extract

The method of solution which I have the honour to lay before the Society is founded upon an old and well-known arithmetical process called “ casting out the nines.” It consists in substituting for any number the remainder which that number leaves when divided by nine. As this remainder contains only a single figure, whereas the original number may contain any number of figures, it is obvious that if the remainder can be employed instead of the number itself, a great saving of time and trouble must follow.

Type
Research Article
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 27 , Issue 3 , 1875 , pp. 303 - 312
Copyright
Copyright © Royal Society of Edinburgh 1875

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References

page 312 note * This appears by a simple process, but too long to explain here.