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

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### Common terms and phrases

2ab+b² 2d power 4th power a²b² added algebraic quantities antecedents Arith arithmetical progression becomes Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction Divide dividend division dollars equal equation evident EXAMPLES exponent expressed Extract the cube 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 nth root number of terms operation orders of units places of figures polynomial Prod quan quotient ratio Reduce remainder required to find result simple fraction square root tens tion tity Transposing unity unknown quantity vulgar fraction whence whole number writing written

### Popular passages

Page 161 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.

Page 184 - 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 186 - ... of the sum of the shares of the other three, the share of the second ^ of the sum of the other three, and the share of the third...

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 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 187 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.

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

Page 62 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.

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

Page 91 - If a footman travel 130 miles in 3 days, when the days are 12 hours long; in how many days, of 10 hours each, may he travel 360 miles ? Ans.