## New School Algebra |

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### Common terms and phrases

a²b a²b² a²c a²x a²x² a³b ab² ab³ arithmetical arithmetical mean arithmetical series ax² binomial called cent change the sign coefficient cologarithm common factor Compound Expressions cube root denominator difference digits Divide dividend divisible divisor equal equation exact divisor EXERCISE exponent Extract the square feet Find the H. C. F. Find the number Find the product Find the sum find the value fraction geometrical series given number Hence highest common factor integral number letter logarithm mantissa miles an hour monomial Multiply negative number number of dollars number of terms parenthesis positive integer quadratic quotient ratio remainder Resolve into factors smaller number Solve square root Subtract surd THEOREM Transpose unknown numbers x²y x²y² xy² yards ах

### Popular passages

Page 330 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.

Page 316 - The area of a circle varies as the square of its radius, and the area of a circle whose radius is 1 foot is 3.1416 square feet.

Page 168 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?

Page 370 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.

Page 164 - Eight hours afterwards B sets out from the same place and travels in the same direction, at the rate of 5 miles in 3 hours.

Page 304 - B, one of them 14 miles longer than the other ; and two roads from B to C, one of them 8 miles longer than the other. The distance from A to B is to the distance from B to C, by the shorter roads, as 1 to 2 ; by the longer roads, as 2 to 3. Find the distances.

Page 317 - The volume of a sphere varies as the cube of its radius. If the...

Page 306 - If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, divide by bd, — = r~,> /n"- bd a- c or - = -• .'. a : b = с : d.

Page 25 - If 2 men start from the same place and travel in opposite directions, one at the rate of 4...

Page 299 - The first term of a ratio is called the antecedent, and the second term the consequent. When the antecedent is equal to the consequent, the ratio is called a ratio of equality ; when the antecedent is greater than the consequent, the ratio is called a ratio of greater inequality ; when less, a ratio of less inequality.