# The elements of algebra

Deighton, 1841 - 305 Seiten

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### Inhalt

 VULGAR FRACTIONS 1 Decimal Fractions 16 Addition of Algebraical Quantities 30 Least Common Multiple 48 Surds 67 Problems which produce Simple Equations 89 Problems producing Quadratic Equations 108 Variation 123
 Continued Fractions 172 Scales of Notation 186 Logarithms 203 Renewal of Leases 218 APPENDIX i APPENDIX II xx Problems xlixLX xlix APPENDIX III lxi

 Harmonical Progression 136 Exponential Theorem 157
 EXAMPLES lxxxix

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Seite 95 - 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.
Seite 91 - 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.
Seite 114 - 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.
Seite 83 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Seite 53 - 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.
Seite 129 - Progression may be found by multiplying the sum of the first and last terms by half the number of terms.
Seite 117 - 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.
Seite 110 - 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.
Seite 28 - The sign of equality, called equal, or equal to, signifies that the quantities between which it is placed are equal to each other.
Seite 19 - 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...