« PreviousContinue »
XXIII. Of Pure Quadratic Equations, or Pure Equations
of the Second Degree
XXIV. Of Adfected Quadratic Equations
XXV. Of Powers in general
XXVI. Of the Calculation of Powers
XXVII. Of Roots with Relation to Powers in general 138
XXVIII. On the Method of representing Irrational Num-
bers by Fractional Exponents
XXIX. On the Reduction of Surds
XXX. Of the Calculation of Irrational Quantities
XXXI. Of Cubes, and the Extraction of Cube Roots 152
XXXII. Of the Higher Powers of Compound Quantities
OF THE DIFFERENT METHODS OF CALCULATING SIMPLE
OF MATHEMATICS IN GENERAL.
1.Magnitude or Quantity may be defined to be any thing that is capable of increase and diminution.
A sum of money is therefore a quantity, because we may either add to, or diminish it. It is the same also with weights, and other things of the same nature.
2. It will thus be easily seen, that there must be so many different kinds of magnitude, as to render it difficult to enumerate them, and hence is the origin of the different parts of Mathematics, each of which is directed to a particular kind of quantity. Mathematics, in general, is nothing more than the Science of quantities, or the science which points out the method of measuring quantity.