Lot 168
  • 168

Lobachevsky, Nicolai Ivanovich.

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Description

  • Ponizhenie stepeni dvuchlennago uravneniya, kogda pokazatel' bez edinitsy delitsya na 8 [Lowering of the degree for the two-part edition...], in: Uchenye zapiski Imperatorskago Kazanskago Universiteta, book 1. Kazan: Kazan University Press, 1834
8vo (248 x 140mm.), original blue printed wrapper, uncut, in modern folding box, slightly worn, small tear in corner of lower cover

Catalogue Note

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.