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" For, since 10" = 10, the log. of 10 is 1 ; and since 10° = 1, the logarithm of 1 is 0. PRIN. 3. — The characteristic of the logarithm of a decimal is negative, and is numerically one greater than the number of ciphers between the decimal point and... "
The Normal Higher Arithmetic: Designed for Common Schools, High Schools ... - Page 508
by Edward Brooks - 1877 - 542 pages
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Transactions, Volume 13

Cambridge Philosophical Society - Science - 1883 - 360 pages
...log,0(e~') from x = o'i to x= ю'о at intervals of o'i. The numbers in parentheses denote the numbers of ciphers between the decimal point and the first significant figure; for example, e~'°= 0-0000453999298. X Ь&.И ef e~* logw(e-*) 5'i 2-21490 18577 164- 021 907 (2)609 674...
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Elements of Surveying: With the Necessary Tables

Charles Davies - Surveying - 1830 - 318 pages
...characteristic, which would be —3. It is, indeed, evident, that the negative characteristic will always be one greater, than the number of ciphers between the decimal point and the first significant place of figures ; therefore, the logarithm of a decimal fraction is found, by considering it as a...
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Elements of Surveying

Charles Davies - Surveying - 1830 - 390 pages
...it as aw/ioL number, and then prefixing to its logarithm a negative characteristic, greater by unity than the number of ciphers between the decimal point and the first significant place oj figures. 19. To find, in the tables, a number answering to a given logarithm. Search, in the...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1833 - 436 pages
...characteristic, which would be — 3. It is, indeed, evident, that the negative characteristic will always be one greater than the number of ciphers between the decimal point and the first significant place of figures ; therefore, the logarithm of a decimal fraction is found, by considering it as a...
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A Table of Logarithms: Of Logarithmic Sines, and a Traverse Table

Logarithms - 1836 - 192 pages
...charac'teristic, which would be — 3. It is, indeed, evident, that the negative characteristic will always be one greater than the number of ciphers between the decimal point and the first significant place of figures ; therefore, the logarithm of a decimal fraction is found, by considering it as a...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...and then prefixing to the decimal part of its logarithm a negative characteristic, greater by unity than the number of ciphers between the decimal point and the first significant place of figures. Thus, the logarithm of .0412, is 2.614897. PROBLEM. To find from the table, a number...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...characteristic, which would be — 3. It is, indeed, evident, that the negative characteristic will always be one greater than the number of ciphers between the decimal point and the first significant figure. Therefore, the logarithm of a decimal fraction is found, by considering it as a whole number, and then...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...characteristic, which would be — 3. It is, indeed, evident, that the negative characteristic will always be one greater than the number of ciphers between the decimal point and the first significant figure. Therefore, the logarithm of a decimal fraction is found, by considering it ' as a whole number, and...
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - Navigation - 1841 - 414 pages
...characteristic, which would be — 3. It is, indeed, evident, that the negative characteristic will always be one greater than the number of ciphers between the decimal point and the first significant figure. Therefore, the logarithm of a decimal fraction is found, by considering it as a whole number, and then...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...logarithm of its numerator, regarded as a whole number, a negative characteristic greater by unity than the number of ciphers between the decimal point and the first significant figure. To demonstrate this in a general manner, let a denote the numerator of a decimal fraction, and b its...
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