Manual of Mathematicall Tables |
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Manual of Mathematical Tables, by J.A. Galbraith and S. Haughton Joseph Allen Galbraith No preview available - 2016 |
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Page vii - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Page vi - The characteristic of the logarithm of a number greater than unity is one less than the number of integral figures in that number.
Page viii - The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page xii - Hence we see that if we wish to divide one number by another, we have only to subtract the logarithm of the divisor from that of the dividend ; the difference will be the logarithm of their quotient. (4.) Since, in Briggs...
Page xv - As in the latter case, all the sines and cosines, all the tangents from o° to 45°, and all the cotangents from 45° to 90°, are less than unity (or i), the logarithms of these quantities have negative characteristics or indices.
Page vi - " = тез =o.oi t0"3 = = o-001 &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 - ... will be the logarithm of the quotient. 3°. Find from the Tables the corresponding number. This will be the required quotient.
Page xvi - If the value of the log sine, log cosine, &c., be given, and it is required to find the angle, we use the following 1°.
Page xi - XXXII, page 50.) 2°. Add these together, the sum will be the logarithm of the product. 3°. Find from the Tables the corresponding number. (For the method of finding the corresponding number to a log., see pages 57 to 58.) This will be required product.
Page v - Division by Logarithms — 7. Involution by Logarithms.— 8. Evolution by Logarithms.— 9.