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of solving numerical equations from which the Arithmetical Rule for extracting the cube root has been deduced. It is surprising that this new method has not been more extensively made known; but from its simplicity, as well as brevity, it can not fail of soon taking the place of all other Arithmetical Rules for determining the cube root of a number.

I have not given any questions which would require rules or principles which are not strictly arithmetical. In all cases I have thought it best to give the answers; and such questions as I have feared might be too difficult for beginners, I have given at length, what I deemed the simplest method of solution.

UTICA, April, 1844.

GEO. R. PERKINS.

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