Logarithmic and Trigonometric Tables |
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Page vii
... the number of ciphers between the decimal point and the first significant digit , and writing 10 after the result . - Thus , the characteristic of log 845 is 2 by Rule I ; the characteristic of log 84.5 is 1 by ( I ) ; of log 8.45 is 0 ...
... the number of ciphers between the decimal point and the first significant digit , and writing 10 after the result . - Thus , the characteristic of log 845 is 2 by Rule I ; the characteristic of log 84.5 is 1 by ( I ) ; of log 8.45 is 0 ...
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Page vi - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page vii - II. The characteristic of a number less than 1 is found by subtracting from 9 the number of ciphers between the decimal point and the first significant digit, and writing — 10 after the result. Thus, the characteristic of log...
Page xvii - The proportional parts are stated in full for every tenth at the right-hand side The logarithm of any number of four significant figures can be read directly by addN...
Page vii - The logarithm of every number between 10 and 100 is some number between 1 and 2, ie, is 1 plus a fraction. The logarithm of every number between 100 and 1000 is some number between 2 and 3, ie, is 2 plus a fraction, and so on.
Page vi - The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root. For, \ Therefore, tag tfï = 2 = 6.
Page vi - The logarithm of a power is equal to the logarithm of the base multiplied by the exponent of the power : log ab = b log a. This follows from the fact that if 10¡ = a, then 10
Page 105 - LOGARITHMS ing the proportional part corresponding to the fourth figure to the tabular number corresponding to the first three figures. There may be an error of 1 in the last place. N 0 1 2 3 4 5 6 7 8 9 123 456 789 55...
Page 60 - Pts. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25...
Page vii - The power of 10, for a number less than 1, is negative and is one more than the number of zeros immediately following the decimal point in the original number.
Page ix - If the characteristic of the logarithm is positive (in which case the mantissa is not followed by — 10), begin at the left, count digits one more than the characteristic, and place the decimal point to the right of the last digit counted.