Multiplication and division.—How to obtain the product of the quotient to within a unit of any given decimal order.
To reduce a vulgar fraction to a decimal fraction.—When the denominator of an irreducible fraction contains other factors than 2 and 5, the fraction cannot be exactly reduced to decimals; and the quotient, which continues indefinitely, is periodical.
To find the vulgar fraction which generates a periodical decimal fraction: 1o when the decimal fraction is simply periodical; 2o when it contains a part not periodical.
System of the new measures.
Linear Measures.—Measures of surface.—Measures of volume and capacity.—Measures of weight.—Moneys.—Ratios of the principal foreign measures (England, Germany, United States of America) to the measures of France.
Of ratios. Resolution of problems.
General notions on quantities which vary in the same ratio or in an inverse ratio.—Solution, by the method called Reduction to unity, of the simplest questions in which such quantities are considered.—To show the homogeneity of the results which are arrived at; thence to deduce the general rule for writing directly the expression of the required solution.
Simple interest.—General formula, the consideration of which furnishes the solution of questions relating to simple interest.—Of discount, as practised in commerce.
To divide a sum into parts proportional to given numbers.
Of questions which can be solved by two arbitrary and successive hypotheses made on the desired result.