Open AccessIII. Remarks chiefly on 487 2 = 486
Author(s) -
William Shanks
Publication year - 1877
Publication title -
proceedings of the royal society of london
Language(s) - English
Resource type - Journals
eISSN - 2053-9126
pISSN - 0370-1662
DOI - 10.1098/rspl.1876.0084
Subject(s) - period (music) , prime (order theory) , mathematics , combinatorics , philosophy , aesthetics
In the cases of 3 ,32 = 1, also of 487, 4872 m 486, we are unable to show why the Period itself is, in each case, divisible by the Prime. But we can show, with little labour, that the period arising from 1/487 is itself divisible by 487, and therefore that 1/4872 = 486. The number composed of 486 9s is divisible by 487. Now this number is made up of the two factors 243 9s and 1242 0s . .0001. The latter only is divisible by 487.
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