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be a sufficient excuse for the employment of a notation which has hitherto been hardly admitted into Cambridge text-books. I have, however, confined myself rigorously to the demonstration of such elementary properties as are required in the course of this work. I should be glad if the very slight sketch contained in Chapter III. should be the means of inducing any of my readers to refer to the original memoirs on this and kindred subjects.

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ARTS.

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ib.

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