О FIVE-PLACE LOGARITHMIC AND TRIGONOMETRIC TABLES. ARRANGED BY G. A. WENTWORTH, A.M., AND G. A. HILL, A.M. BOSTON: PUBLISHED BY GINN, HEATH, & CO. 1883. HARVARD COLLEGE LIBRARY MISS ELLEN L. WENTWORTH MAY 8 1939 Entered according to Act of Congress, in the year 1882, by G. A. WENTWORTH AND G. A. HILL, in the office of the Librarian of Congress at Washington. GINN, HEATH, & Co., PRINTERS : J. S. CUSHING, SUPT., 16 HAWLEY STREET, BOSTON. HE first six of these tables follow, in the main, THE Gauss's Tables; and the last nine, except the twelfth, the tables of the American Practical Navigator as revised by Commander Cooper of the United States Navy, under the direction of the Bureau of Navigation. INTRODUCTION. 1. If the natural numbers are regarded as powers of ten, the exponents of the powers are the Common or Briggs Logarithms of the numbers. If A and B denote natural numbers, a and b their logarithms, then 10′′ = A, 10° = B; or, written in logarithmic form, 2. The logarithm of a product is found by adding the logarithms of its factors. 3. The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend. 4. The logarithm of a power of a number is found by multiplying the logarithm of the number by the exponent of the power. 5. The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root. 6. The logarithms of 1, 10, 100, etc., and of 0.1, 0.01, 0.001, etc., are integral numbers. The logarithms of all other numbers are fractions. |