Excerpt from Elements of Plane and Spherical Trigonometry, 1868: With Their Applications to Mensuration, Surveying, and Navigation Article 1. Logarithms are numbers designed to diminish the labor of Multiplication and Division, by substituting in their stead Addition and Subtraction. All numbers are regarded as powers of some one number, which is called the base of the system and the exponent of that power of the base which is equal to a given number, is called the logarithm of that number. The base of the common system of logarithms (called, from their inventor, Briggs logarithms) is the number 10. Hence all numbers are to be regarded as powers of 10. Thus, since l l, 0 is the logarithm of 1 in Briggs system10==10, 1 10 10==100, 2 100 10=1000, 3 1000 10=10000, 4 10, 000 . c., c., o.whence it appears that, in Briggs system, the logarithm of every number between 1 and 10 is some number between 0 and 1, i. e., is a proper fraction. The logarithm of every number between 10 and 100 is some number between 1 and 2, i, e, is 1 plus a fraction. The logarithm of every number between 100 and 1000 is some number between 2 and 3, i.e., is 2 plus a fraction, and so on.(2.) The preceding principles may be extended to fractions by means of negative exponents. Thus, since 10 =0.1, 1 is the logarithm of 0.1 in Briggs system o. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses stateoftheart technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully any imperfections that remain are intentionally left to preserve the state of such historical works.
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Author  :  Elias Loomis 
Publisher  :  Forgotten Books 
Data Published  :  27 September 2015 
ISBN  :  1330240138 
EAN  :  9781330240137 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  370 pages 
Age +  :  15 years 
Language  :  English 
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