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XIX.—On the Nature of the Curves whose Intersections give the Imaginary Roots of an Algebraic Equation

Published online by Cambridge University Press:  06 July 2012

Thomas Bond Sprague
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Extract

“If the n roots of the equation

“are all real, then all the roots of the equations

“and

“are also real, and one of the n—1 roots of the latter lies between each adjacent “two roots of the former.”

Type
Research Article
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 30 , Issue 2 , 1882 , pp. 467 - 480
Copyright
Copyright © Royal Society of Edinburgh 1882

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