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On a Rapidly Converging Series for the Extraction of the Square Root

Published online by Cambridge University Press:  15 September 2014

Thomas Muir
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Extract

It is well known that the square root of any commensurable number N is expressible in the form

and that the (z + 1)th convergent to this is,

where the continuant notation K( ) is explained by the example

Information

Type
Proceedings 1889-90
Information
Proceedings of the Royal Society of Edinburgh , Volume 17 , 1891 , pp. 14 - 18
Copyright
Copyright © Royal Society of Edinburgh 1891

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