## A Complete Algebra: For High Schools, Academies and Normal Schools |

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### Other editions - View all

A Complete Algebra for High Schools, Academies and Normal Schools (Classic ... George W. Hull No preview available - 2017 |

A Complete Algebra for High Schools, Academies and Normal Schools (Classic ... George W. Hull No preview available - 2017 |

### Common terms and phrases

2ab+ b² 3a²b 3ab² a² b2 a²b a²b² a²n a²x² a³b ab² arithmetical mean arithmetical progression binomial cents coefficient complete the square cube root decimal denominator Divide divisor equal EXAMPLES exponent Extracting the square factors find the numbers find the series Find the sum Find the value four quantities fraction geometrical mean geometrical progression Given Hence logarithm mantissa Multiply negative nth term number of terms numbers in arithmetical PRINCIPLE problem proportion quadratic equation quotient r₁ r₂ ratio Reduce remainder Solve the equations Solve the following square root Substituting these values Subtracting Theo THEOREM three numbers unknown quantities Va² Whence x²n x²y x²y² x³y xy² xy³ y²n

### Popular passages

Page 61 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.

Page 60 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second.

Page 56 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.

Page 257 - The sum of all the terms. Any three of which being given, the other two may be found.

Page 241 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards ; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.

Page 275 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log

Page 93 - To reduce fractions to their lowest terms. A fraction is in its lowest terms when its numerator and denominator are prime to each other; that is, when both terms have no common divisor. 1. Reduce the fraction -|| to its lowest terms.

Page 49 - The Dividend is the quantity to be divided. The Divisor is the quantity by which we divide. The Quotient is the result, •which shows how many times the divisor is contained in the dividend.

Page 253 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.

Page 22 - If equal quantities be divided by the same quantity, or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be changed.