Manual of mathematical tables, by J.A. Galbraith and S. Haughton

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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 - Síc., 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.

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