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" For, by art. 14, the decimal part of the logarithm of any number is the same, as that of the number multiplied into 10, 100, &c. "
A Course of Mathematics: Containing the Principles of Plane Trigonometry ... - Page 98
by Jeremiah Day - 1839 - 370 pages
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851 - 418 pages
...annexed to the significant figures the logarithm may be found in a similar manner. For, by art. 14, the decimal part of the logarithm of any number is the same, as that of the number multiplied into 10, 100, &c. All the difference will be in the index ; and this may be supplied by the same general...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1854 - 434 pages
...1, 2, 3, &c. (Art. 3.) If, then, the log. of 10 be represented by a line of 1 foot ; the log. of 100 will be repres'd by one of 2 feet ; the log. of 1000...of the number multiplied or divided by 10, 100, &c. (Ait. 14.) In logarithmic calculations, the use of the indices is to determine the distance of the...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...logarithm of 10. Hence the logarithm of 9.5 is 0.977724. Also, the logarithm of 950 is 2.977724. Hence the decimal part of the logarithm of any number is...that of the number multiplied or divided by 10, 100 1000, &c. Prime numbers are such as can not be decomposed into factors ; as, 2, 8, 5, 7, 11, 13, 17,...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - Trigonometry - 1855 - 192 pages
...it will only change the characteristic of the logarithm, without affecting the decimal part. Hence The decimal part of the logarithm of any number is...that of the number multiplied or divided by 10, 100. 1000, &o. Thus, the logarithm of 65430 « is 4.815777; " " 6543 is 3.815777; " " 654.3 is 2.815777;...
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Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ...

Elias Loomis - Logarithms - 1859 - 372 pages
...figure 7, 13 Therefore the logarithm of 234567 is 5.370267. To find the Logarithm of a Decimal Fraction. The decimal part of the logarithm of any number is...that of the number multiplied or divided by 10, 100, 1000, &c. Hence, for a decimal fraction, we find the logarithm as if the figures were integers . and...
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Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - Algebra - 1859 - 368 pages
...number of O's between the decimal point and the first significant figure in the given fraction. (322.) The decimal part of the logarithm of any number, is the same as that of the product, or quotient, of the number multiplied, or divided, by 10, or 100, or 1000, &c. This is evident,...
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Elements of Trigonometry, Plane and Spherical

Lefébure de Fourcy (M., Louis Etienne) - Trigonometry - 1868 - 350 pages
...figure 7, 13 Therefore the logarithm of 234567 is 5.370267. To find the Logarithm of a Decimal Fraction. The decimal part of the logarithm of any number is...that of the number multiplied or divided by 10, 100, 1000, &c. Hence, foi a decimal fraction, we find the logarithm as if the figures were integers and...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - Trigonometry - 1868 - 380 pages
...figure 7, 13 Therefore the logarithm of 234567 is 5.370267. To find the Logarithm of a Decimal Fraction. The decimal part of the logarithm of any number is the same as tha of the number multiplied or divided by 10, 100, 1000, &c. Hence, for a decimal fraction, we find...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...it will only change the characteristic of the logarithm, without affecting the decimal part. Hence The decimal part of the logarithm of any number is...that of the number multiplied or divided by 10, 100, 1000, &c. Thus, the logarithm of 65430 is 4.815777 ; " " 6543 is 3.815777 ; " " 654.3 is 2.815777 ;...
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New Practical Algebra: Adapted to the Improved Methods of Instruction in ...

James Bates Thomson - Algebra - 1878 - 322 pages
...characteristic, instead of before it. Thus, the logarithm of .2 is 1.30103, " " " .05 is 2.69897, etc. 445. The Decimal Part of the logarithm of any number is the same as the logarithm of the number multiplied or divided by 10, 100, 1000, etc. Thus, the logarithm of 1876...
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