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Encyclopedia Britannica - Main :: CHA-CHR |
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CHEBICHEV, PAFNUTIY LVOVICH (1821-1894) , Russian
Russia
paper , " Sur la convergence de la serie de Taylor," in Crelle's Journal . His best-known papers, however, deal with prime numbers; in one of these ("Sur les nombres premiers," 185o) he established the existence of limits within which must be comprised the sum of the logarithms of the primes inferior to a given number. Another question to which he devoted much attention was that of obtaining rectilinear motion by linkage. The parallel motion known by his name is a three-bar linkage, which gives a very close approximation to exact rectilinear motion, but in spite of all his efforts he failed to devise one that produced absolutely true rectilinear motion. At last, indeed, he came to the conclusion that to do so was impossible, and in that conviction set to work
instrument for drawing large circles, and an arithmetical machine with continuous motion. His mathematical writings, which account for some forty
Petersburg
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