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### Contents

 Section 1 11 Section 2 11 Section 3 11 Section 4 12 Section 5 14 Section 6 18 Section 7 20 Section 8 29
 Section 20 111 Section 21 114 Section 22 136 Section 23 137 Section 24 152 Section 25 172 Section 26 207 Section 27 208

 Section 9 47 Section 10 47 Section 11 47 Section 12 56 Section 13 63 Section 14 68 Section 15 72 Section 16 82 Section 17 98 Section 18 107 Section 19 110
 Section 28 210 Section 29 217 Section 30 220 Section 31 222 Section 32 224 Section 33 230 Section 34 249 Section 35 250 Section 36 251 Section 37 252

### Popular passages

Page viii - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Page vii - The characteristic of the logarithm of a number greater than unity is one less than the number of integral figures in that number.
Page ix - The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page xvii - S�c., multiply the difference by 60, divide by the tabular difference, and consider the result as seconds. 3�. If the given value be that of a log sine...
Page xvi - As all the sines and cosines, all the tangents from o� to 45�, and all the cotangents from 45� to 90", are less than unity, the logarithms of these quantities have negative characteristics.
Page vii - ... &c. &c. It follows from this, that the characteristics of the logarithms of all numbers less than unity are negative, and may be found by The...
Page xiii - NOTE i . — When the divisor is greater than the dividend, the characteristic of the logarithm of the quotient will come out negative — the quotient itself being, evidently, a decimal ; but if we wish to avoid the use of negative characteristics it will be necessary to add...
Page xiii - Subtract the logarithm of the divisor from that of the dividend; th". difference will be the logarithm of the quotient. 3�. Find from the tables the corresponding number. This will be the required quotient. EXAMPLES, 1.