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

Andrew Mackay

Longman, Hurst, Rees and Orme, 1804 - Logarithms - 260 pages

Contents

• For computing the final Effect of Parallax on the Distance between the Moon: 28
• CONTENTS: 59
• THE Latitudes and Longitudes of Places 1: 1
• TABLE II: 14
• Logarithmic Sines Tangents and Secants to every Degree and Minute 43: 43
• Traverse Table to Points and Quarters of the Compass: 80
• TABLE xiii: 95
• TABLE XV: 146
• The Semidiameter of the Sun: 149
• TABLE XXVIII: 155
• TABLE XXXV: 167
• TABLE xxxvii: 173
• TABLE XXXVIII: 177
• TABLE XLIII: 201
• TABLE XLV: 207
• Equation of Second Difference: 215
• To reduce Common to Hyperbolic Logarithms and conversely: 223
• The Reciprocals of Numbers: 229
• Square Roots of Numbers from 1 to 1000: 235
• TABLE LXVII: 243
• TABLE LXXIV: 246
• Weights and Measures: 249
• TABLE XCI: 260

Popular passages

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...

Bibliographic information

• Title: 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
• Author: Andrew Mackay
• Publisher: Longman, Hurst, Rees and Orme, 1804
• Original from: the University of Michigan
• Digitized: Jun 8, 2007
• Length: 260 pages