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Table of Logarithms of the Natural Numbers from 1 to 108000
From the INTRODUCTION. OF THE USE OF THE TABLES OF LOGARITHMS.
The logarithms given in the tables are all supposed to be positive, and to have the decimal point prefixed to them.
The index of a logarithm is the whole number preceding the decimal point; it may be positive or negative, and must be supplied according to the following rules: -
The index of the logarithm of any number greater than unity, is equal to one less than the number of figures on the left hand of the decimal point; thus the index of the logarithm of 3652 is 3∙.
The index of any decimal fraction is a negative number, equal to unity added to the number of zeros immediately following the decimal point; thus the index of the logarithm of ∙00462 is -3∙.; the index of ∙462 is - l∙.*
Instead of employing negative indices, their complements to 10 are sometimes used, and +7∙ and +9∙ are substituted for the above indices -3∙ and -1∙. When this is done, it is necessary to reject, at some subsequent stage, the 10 by which the indices have thus been augmented....
*As the decimal part of the logarithm is not negative, it is better to put the negative sign of the index above, instead of before it, as 3∙ instead of -3∙
The logarithms given in the tables are all supposed to be positive, and to have the decimal point prefixed to them.
The index of a logarithm is the whole number preceding the decimal point; it may be positive or negative, and must be supplied according to the following rules: -
The index of the logarithm of any number greater than unity, is equal to one less than the number of figures on the left hand of the decimal point; thus the index of the logarithm of 3652 is 3∙.
The index of any decimal fraction is a negative number, equal to unity added to the number of zeros immediately following the decimal point; thus the index of the logarithm of ∙00462 is -3∙.; the index of ∙462 is - l∙.*
Instead of employing negative indices, their complements to 10 are sometimes used, and +7∙ and +9∙ are substituted for the above indices -3∙ and -1∙. When this is done, it is necessary to reject, at some subsequent stage, the 10 by which the indices have thus been augmented....
*As the decimal part of the logarithm is not negative, it is better to put the negative sign of the index above, instead of before it, as 3∙ instead of -3∙
224 pages, Paperback
First published February 26, 2010
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About the author
Charles Babbage
86 books21 followersBritish mathematician Charles Babbage invented an analytical machine, based on similar principles to those that modern computers use.
This English philosopher and mechanical engineer originated the concept of digital programming. Some persons consider Babbage a "father" and credit him with the first that eventually led to more complex electronic designs but find all essential ideas in his engine. His varied work in other fields led to his described "preeminence" of his century.
The science museum in London displays incomplete parts of Babbage. From original plans of Babbage, people in 1991 constructed a functioning difference engine. Built to achievable tolerances in the 19th century, the success of the finished engine indicated that Babbage worked.
This English philosopher and mechanical engineer originated the concept of digital programming. Some persons consider Babbage a "father" and credit him with the first that eventually led to more complex electronic designs but find all essential ideas in his engine. His varied work in other fields led to his described "preeminence" of his century.
The science museum in London displays incomplete parts of Babbage. From original plans of Babbage, people in 1991 constructed a functioning difference engine. Built to achievable tolerances in the 19th century, the success of the finished engine indicated that Babbage worked.
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