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" ... one less than the number of figures in the integral part of the natural number. The decimal part... "
Crocker's Elements of land surveying. To which are added, Tables of six ... - Page 4
by Abraham Crocker - 1841
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 1

Isaac Dalby - Mathematics - 1807 - 476 pages
............................ — 2-793830 Therefore the index or characteristic of any logarithm is always l less than the number of figures in the integral part of the natural number. Explanation and use of the TalJe of Logarithms. 170. THE table contains the logarithms of the natural...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 398 pages
...or in part, decimal, the index must be changed accordingly. Observing that the index must always be one less, than the number of figures in the integral part of the given number; also, when the given number is wholly a decimal, the index is negative, and must be one...
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Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - Astronomy - 1834 - 454 pages
...whole numbers or integers in the logarithmic series are hence easily obtained, being always a unit less than the number of figures in the integral part of the corresponding natural number. On this account it is customary, in the common printed tables, to put...
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A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 360 pages
...numbers or decimals, will be the same, with the exception of the characteristic, which will always be one less than the number of figures in the integral part of the number. For example; taking the number 654685, and dividing it successively by 10, and for each division...
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A complete treatise on practical land-surveying

Thomas Holliday - Surveying - 1838 - 404 pages
...uniformly as in the foregoing series, the index being always one less than the number of figures in the natural number. The decimal part of a logarithm...whole number, decimal, or partly a whole number and decimal, as below. For a more particular account of logarithms see Dr. Button's tables. Logarithm of...
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Principles of geometry, mensuration, trigonometry, land-surveying, and ...

Thomas Tate (mathematical master.) - 1848 - 284 pages
...2-60906, where 2 is the characteristic and -60906 is the mantissa. As the characteristic is always 1 less than the number of figures in the integral part of the number, the logarithm given in the tables is only the decimal part of the required logarithm, and the...
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A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - Surveying - 1865 - 440 pages
...index must be changed in accordance with the principles laid down in Art. 7. Thus, the index must be one less than the number of figures in the integral part of the natural number. But when the natural number is wholly a decimal the index is negative, and must be one more than the...
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The Complete Algebra: Designed for Use in Schools, Academies, and Colleges

Joseph Ficklin - Algebra - 1874 - 446 pages
...logarithm of an integer, or of a number composed of an integer anda decimal fraction, is positive and one less than the number of figures in the integral part of that number. Thus, the characteristic of log,0 258.045 is 2. 2d. The logarithm of a decimal fraction...
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Spiral Slide Rule: Equivalent to a Straight Slide Rule 83 Feet 4 Inches Long ...

George Fuller - Slide-rule - 1878 - 26 pages
...number. To this the indtx has to be added. The index of the logarithm of a number greater than unity is one less than the number of figures in the integral part of that number. Thus the index of 5432 is 3, of 543-2 is 2, of 54-32 is 1, and of 5-432 is 0. Multiply...
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Elementary Chemical Arithmetic: With 1100 Problems

Sydney Lupton - Chemistry - 1882 - 374 pages
...10', log 100 =2, 1000 = 10*, log 1000 = 3. Hence the characteristic for a number greater than unity is one less than the number of figures in the integral part of the number. it affects only the characteristic and not the mantissa, which always remains positive. Since...
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