A Treatise on Computation: An Account of the Chief Methods for Contracting and Abbreviating Arithmetical Calculations

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Longmans, Green, and Company, 1895 - Arithmetic - 184 pages
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Page 105 - The logarithm of any power of a number is equal to the product of the logarithm of the number and the index of the power. Thus log
Page 104 - as follows:— I. The logarithm of a product is equal to the sum of the logarithms of its factors. Thus log
Page 102 - The logarithm of a number to a given base is the index of that power of the base which is equal to the
Page 102 - the logarithm of N to the base a". This
Page 7 - Subtract the first figure from the second, the result from the third, the result from the fourth, and so on. The final result, or the rest of
Page 160 - How many amperes would deflect the needle of a tangent galvanometer 60 in the year 1886, the controlling force being the horizontal component of the earth's magnetism, and the galvanometer having a bobbin five inches in radius, wound with six convolutions of wire
Page 101 - during which time the labour of computation has been reduced for the mathematician to about a tenth part of its previous expense of time and trouble. The mathematical computer, however, has had them all to himself ; they have never been applied, except indirectly, to the purposes of commerce or the wants of life.
Page 159 - resistance is reduced to 12 ohms. What is the resistance of the battery if that of the galvanometer
Page 40 - ergs, it is not because the figures in the decimal places beyond the 2 are all zero, but because we do not know what their values really are; or, it may be, for the purpose for which we are using the value, it is immaterial what they are. It is known, as a matter of fact, that a more accurate value is

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