## The elements of algebra |

### Common terms and phrases

a²x² algebraical quantities annuity Arithmetical Progression ax² binomial Binomial Theorem coefficient common denominator contains continued fraction cube root difference digits divided divisible divisor equal expressed Extract the square factors find the number Find the value fraction given greater Greatest Common Measure Hence impossible roots last term Least Common Multiple less lowest terms multiplied negative number of terms numerator and denominator odd number original equation permutations Present Value probability proposed equation proposed quantity prove quadratic quadratic equation quadratic surds quan quotient ratio Reduce to lowest remainder represented Required the value rule shew shillings signs square root substituted subtracted suppose supposition surd unknown quantity vulgar fraction whole number

### Popular passages

Page 91 - This process of adding the square of half the coefficient of the first power of the unknown quantity to the first member, in order to make it a perfect square, is called COMPLETING THE SQUARE.

Page 87 - A laborer agreed to serve for 36 days on condition that for every day he worked he should receive $1.25, and for every day he was absent he should forfeit 50 cents.

Page 110 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.

Page 79 - Find the value of one of the unknown quantities, in terms of the other and known quantities...

Page 49 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.

Page 125 - Progression may be found by multiplying the sum of the first and last terms by half the number of terms.

Page 113 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.

Page 106 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.

Page 24 - The sign of equality, called equal, or equal to, signifies that the quantities between which it is placed are equal to each other.

Page 15 - Multiply as in whole numbers, and point off as many decimal places in the product as there are in both multiplicand and multiplier. DIVISION. Divide as in whole numbers, and point off...