A Collection of Mathematical Tables: For the Use of Students in Universities and Academies, for the Practical Navigator, Geographer, and Surveyor, for Men of Business & C

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Longman, Hurst, Rees and Orme, 1804 - Logarithms - 260 pages
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Page 8 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Page 63 - To construct a mill by this table, find the height of the fall of water in the first column, and against that height, in the sixth column, you have the number of cogs in the wheel, and staves in the trundle, for causing the millstone to make about 60 revolutions in a minute, as near as possible, when the wheel goes with a third part of the velocity of the...
Page 245 - ... information they may derive from it, than they could have been by any detached extract which we might have selected. Of the Author's extensive and accurate acquaintance with the subject to which he has directed our attention, none who peruse what he has written can entertain any doubt. To the Navigator and Astronomer, and also to the practical Geographer and Surveyor, this work will be instructive and useful. We cannot conclude without expressing our wishes, that the author may be suitably encouraged...
Page 9 - Divide the logarithm of the given number by the index of the root ; and the quotient will be the logarithm of the required root (Art.
Page 6 - Naperian logarithms muy be calculated with a very small fraction of the labour which they cost their inventor. This having been done for all whole numbers within the given limits, the logarithm of any fraction is readily found by subtracting the logarithm of the denominator from that of the numerator.
Page 231 - TABLE. 60 seconds (") make 1 minute,...'. 60 minutes " 1 degree, . . . . 30 degrees " 1 sign S. 12 signs, or 360,
Page 218 - Yr. 2| per cent. 3 per cent. 34 per cent. 4 per cent. 5 per cent. 6 per cent. 1...
Page 8 - ... places to the left hand ; but if the divisor be more places removed,, then remove the decimal point of the quotient as many places to the right hand. If the dividend and divisor be equally removed, the quotient is not to be altered.
Page 9 - Rule. Multiply the Logarithm of the given number by the Index of the proposed power, and the product will be the Logarithm, whose natural number is the power required.
Page 32 - Poie, at different distances of the Star from the Meridian. As the pole star is generally known, that no opportunity, therefore, may be lost for determining the latitude, this table is inserted, the use of which is as follows : — Find the interval between the time of observation of the altitude of the pole star, and that of its passing the meridian, and take out the corresponding equation from the table ; which added to, or subtracted from the true altitude of the pole star, will give the latitude...

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