The Philosophy of Arithmetic As Developed From the Three Fundamental Processes O

Cover The Philosophy of Arithmetic As Developed From the Three Fundamental Processes O
The Philosophy of Arithmetic As Developed From the Three Fundamental Processes O
Edward Brooks
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Fineness resulting, 12.
If the assumed multiplier be 1, the weights are 2 and 4 mdshas respectively ; if 2, they are 4 and 8 ; if -J, they are 1 and 2 : thus manifold answers are obtained by varying the as- sumption.
HISTORY OF PROPORTION. 383 This rule, though perfectly distinct and clear, applies to two quantities only, and there is no appearance that it was ever applied to a greater number ; it involves, however, the princi- ple of the rule which is now used, recognizes the problem as unlimi
...ted, and shows in what manner an indefinite number of answers may be obtained. The extension of the rule is not entirely easy, but much more so than the invention of the orig- inal rule itself; the chief honor of the discovery of the rule belongs therefore to the mathematicians of Hindostan. The general rule was known to the Arabians and was denominated Sekis, a term meaning adulterous, inasmuch as it is not con- tent with a single, and, as it were, legitimate solution of the question. It was sometimes called Cecca by the Italians, who appear to have known nothing further of the word than its Arabic origin ; and it constitutes the alligation alternate of modern books of arithmetic.

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