## The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion, and the Progressions, with an Elemenary and Practial View of Logarithms, and a Chapter on the Business Rules of Arithmetic Treated Algebraically ; Designed to be Sufficiently Elementary for Beginners, and Sufficiently Thorough and Comprehensive to Meet the Wants of Our Common and High Schools and Academies |

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### Contents

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### Common terms and phrases

added addition affected Algebra answer appears Arithmetic arranged becomes binomial called cents changed coefficient considered contains cube root demonstration denominator destroy difference Divide dividend division divisor equal equal factors equation evident EXAMPLES exponent expression Extract factors figure fraction given gives greater Hence increase indicated integral kind less letter literal manner means method minuend minus MODEL Multiply negative notation OPERATION pass performed period placed polynomial positive Prob problem Prod Prop Prove pupil quantity Quot quotient radical ratio reason Reduce remainder Remove represent resolved Result rule signifies similar terms simple SOLUTION Solve square root subtract subtrahend taken third tion trial true twice units unknown quantity Whence whole write written

### Popular passages

Page 112 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.

Page 77 - A Common Multiple of two or more numbers is an integral number which contains each of them as a factor, or which is divisible by each of them. The Least Common Multiple of two or more numbers is the least integral number which is divisible by each of them.

Page 91 - LEMMA 4. — A common divisor of two numbers is a divisor of their sum and also of their difference.

Page 101 - The Value of a fraction is the quotient of the numerator divided by the denominator.

Page 77 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Thu4, 18 is the greatest, common divisor of 36 and 54, since it is the greatest number that will divide each of them without a remainder.

Page 275 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.

Page 59 - The square of the sum of two quantities is equal to the SQuare of the first, plus twice the product of the first by the second, plus the square of the second.

Page 61 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.

Page 128 - ... by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor.