Page:The Construction of the Wonderful Canon of Logarithms.djvu/87

REMARKS ON APPENDIX. 63 the last quotient disturbs the ratio a little; but if we assume the of 10 to be 10,000,000,000, and if 2 be multiplied by itself continuously until the number of products is exceeded, by one only, by the given ; then the number of places, less one, in the last product, will give the  of 2 with sufficient accuracy, because in large numbers the small fraction adhering to the last quotient will have no effect in disturbing the proportion.

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