## Tables of six-figure logarithms. Stereotyped ed |

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Page xv - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.

Page xvii - Divide the logarithm of the given number by the index of the root ; and the quotient will be the logarithm of the required root (Art.

Page xvi - Multiply the logarithm of the given number by the exponent of the power to which the number is to be raised ; and the product will be the logarithm of the required power (Art.

Page xi - The characteristic of the logarithm of a number greater than 1 is positive and is one less than the number of digits to the left of the decimal point. 2. The characteristic of the logarithm of a number less than 1 is negative and is one more than the number of zeros immediately to the right of the decimal point.

Page 67 - Formulas [39], [40], and [43] it follows that sin a — sin с sin A, tan b = tan с cos A, cot B = cos с tan A. Here...

Page xvi - In brief : to multiply, add logarithms. II. The logarithm of a fraction is equal to the difference obtained by subtracting the logarithm of the denominator from the logarithm of the numerator : log (os/6) = log a — log b. For, if 10' = a and 10£ •= b, then IQI-L — a _}.

Page xi - The characteristic of the logarithm of a number less than unity is negative, and one more than the number of ciphers immediately after the decimal point.

Page xviii - To find the Arc in Degrees, Minutes, and Seconds, corresponding to a given Natural Versed Sine. In one of the columns of versed find the natural versed sine next less to the given one, and the corresponding degrees and minutes will be those required. Subtract this natural versed sine from the given one, and opposite the remainder taken in the column of parts for ", belonging...

Page 23 - IIOO •0413927 1150 •0606978 1 200 •0791813 LOGARITHMS SINES AND TANGENTS FOR EVERY MINUTE OF THE QUADRANT, SINES FOR EVERY SIX SECONDS OF THE FIRST TWO DEGREES. 0 min. to 30 min. -•Sine. П Iff. for 100

Page 72 - ... past the station of observation is given in column C. The column E gives the velocity between two successive stations as resulting from the observations С and D. In order to compare these observations with the formula...