Of logarithms and of their uses.
All numbers can be produced by forming all the powers of any positive number, greater or less than one.
General properties of logarithms.
When numbers are in geometrical progression, their logarithms are in arithmetical progression.
How to pass from one system of logarithms to another system.
Calculation of logarithms by means of the series which gives the logarithm of n + 1, knowing that of n.—Calculation of Napierian logarithms.—To deduce from them those of Briggs. Modulus.
Use of logarithms whose base is 10.—Characteristics.—Negative characteristics. Logarithms entirely negative are not used in calculation.
A number being given, how to find its logarithm in the tables of Callet. A logarithm being given, how to find the number to which it belongs.—Use of the proportional parts.—Their application to appreciate the exactness for which we can answer.
Employment of the sliding rule.
Resolution of exponential equations by means of logarithms.