Books Books
The 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.
Mathematical and Astronomical Tables: For the Use of Students of Mathematics ... - Page 6
by William Galbraith - 1827 - 322 pages

## 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...

## A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 390 pages
...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...

## Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - Astronomy - 1834 - 428 pages
...greater than 1 and less than 2, that is, they are 1 with some fraction annexed, and so on. The whole numbers or integers in the logarithmic series are...generalize, let us assume the two following series : r*, r", r*", r*'",&c. . . (1) y, y', y", /", &c. . . (2) in which r is some given number greater...

## A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 362 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...

## Crocker's Elements of land surveying. To which are added, Tables of six ...

Abraham Crocker - 1841 - 490 pages
...or thousands, the index is 3 ; and so on uniformly, as in the foregoing series, the index being one less than the number of figures in the integral part of the natural number. The decimal part of a logarithm is the same, whether the natural number to which it...

## 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...

## A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - Surveying - 1865 - 440 pages
...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...

## Elementary Chemical Arithmetic: With 1100 Problems

Sydney Lupton - Chemistry - 1882 - 374 pages
...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...