Helical Calculus

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Helical Calculus

 

a branch of vector calculus in which operations on helices are studied. Here, a helix is a pair of vectors {a, b} applied at the origins to one point O and satisfying the following conditions: in the transition to a new point O′, vector a does not vary and vector b is replaced by vector b′ = b − [p, a], where p = OO′. The concept of a helix is used in mechanics (the resultant f of the system of forces f1 and the principal moment m of this system with respect to a point in the system form the helix {f, m}) and in geometry (in the theory of linear surfaces). Helical calculus was created in 1895 by the Russian mathematician A. P. Kotel’nikov.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
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