first edition of Lobachevsky's paper on lowering the degree of a binomial equation when the exponent less one is divisible by 8. It examines equations of the form xn-1=0, and in particular the case of n=8m+1, and demonstrates how to form the equation of the mth degree, in which the given equation is based upon the extraction of square roots.
Lobachevsky was the founder of Uchenye zapiski and the introduction to this issue is also written by him.
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