## The Normal Elementary Algebra: Containing the First Principles of the Science, Developed for Common Schools, Academies, Seminaries and Normal Schools |

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added Addition algebraic Arithmetic bought boys called cents changed clearing coefficient condition consisting contain cost cows Define denominator difference digits diminished distance Divide dividend division Elimination equals equation evident EXAMPLES Expand exponent expression factors feet figures Find the sum Find the value find x formula fraction give Given greater greatest common divisor half hence horse hour increased indicates least common multiple less letters method miles minus Multiply negative NORMAL NOTE obtained OPERATION persons positive Prin principles problem pupils quan quotient received Reduce remainder represent required the number result root rule simple SOLUTION solved square substituting subtracted symbols taken third tion tities transposing travels twice uniting unknown quantity watch worth zero

### Popular passages

Page 47 - I. Divide the coefficient of the dividend by the coefficient of the divisor.

Page 55 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second.

Page 69 - The least Common Multiple of two or more quantities is the least quantity that will contain them exactly.

Page 91 - Hence for the division of one fraction by another the usual rule again results, as follows: Rule. — Invert the terms of the divisor and proceed as in multiplication. This might naturally be expected by remembering the relation between multiplication and division, and that one is the exact inverse of the other. For the multiplication of a series of fractions into each other these principles work out as follows...

Page 119 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...

Page 84 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.

Page 75 - To reduce a fraction to its lowest terms. A fraction is in its lowest terms when the numerator and denominator have no common factor.

Page 22 - It is read the ratio of a to b equals the ratio of c to d, or briefly, a is to b as c is to d.

Page 68 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.

Page 64 - IF the difference of the same powers of two quantities is divisible by the difference of the quantities...