## A New Introduction to the Science of Algebra ... |

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### Common terms and phrases

2d power a²+2ab+b² a²b² added addition algebraic quantity antecedents Arith arithmetical progression becomes Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction Divide the numerator dividend division dollars equal equation evident EXAMPLES exponent expressed Extract the square extracting the root Find the greatest Find the sum find the value geometrical progression given number gives greater greatest common divisor hence hundreds improper fraction last term least common multiple less number letters logarithms lowest terms mean terms merator minuend mixed number multiplicand Multiply nator number of terms operation orders of units polynomials Prod quan quotient ratio Reduce remainder required to find result simple fraction square root subtrahend tens third tion tity Transposing unity unknown quantity vulgar fraction whence whole number writing written

### Popular passages

Page 117 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 178 - 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 70 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...

Page 161 - B with $96. A lost twice as much as B; and, upon settling their accounts, it appeared that A had three times as much remaining as B. How much did each lose ? Ans. A lost $96, and B lost $48.

Page 132 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.

Page 63 - To divide a Decimal by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor...

Page 73 - The first term of a ratio is called the antecedent, and the second term the consequent.

Page 78 - In any proportion, the product of the means is equal to the product of the extremes.

Page 262 - A and B hired a pasture, into which A put 4 horses, and B as many as cost him 18 shillings a week ; afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired? Ans.

Page 60 - Multiply as in whole numbers, and from the right hand of the product point off as many figures for decimals as there are decimal places in both factors.