The Elements of Algebra |
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Common terms and phrases
9 a² a+b+c a² b² a²+2ab+b² a²b a²b² a²c a²x a²x² a³b ab² ab³ ac² arithmetical series ax² ax³ b²)² b²c b²x cents Clear of fractions colog Complete the square Equate values EXERCISE Extract root Extract the root Find the number Hence minute-spaces in arc Multiply number of days number of dollars number of feet number of gallons number of hours number of miles number of minute-spaces number of pounds number of square number of yards ratio second numerator Simplify Substitute value Subt Subtract Sum of fractions sum of numerators third numerator Transpose and combine v²x² value of x Whence x² y² x²y x²y² x³y xy² xy³ ах
Popular passages
Page 460 - 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 293 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Page 432 - The volume of a pyramid varies jointly as the area of its base and its altitude. A pyramid, the base of which is 9 feet square and the height of which is 10 feet, is found to contain 10 cubic yards. What must be the height of a pyramid upon a base 3 feet square in order that it may contain 2 cubic yards ? 20.
Page 207 - A man sculls down a stream, which runs at the rate of 4 miles an hour, for a certain' distance in 1 hour and 40 minutes. In returning it takes him 4 hours and 15 minutes to arrive at a point 3 miles short of his starting-place. Find the distance he pulled down the stream, and the rate of his pulling.
Page 446 - The sum of the squares of the extremes of four numbers in arithmetical progression is 200; and the sum of the squares of the means is 136. What are the numbers 1 Prob.
Page 156 - A person engaged to work a days on these conditions: for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit с cents. At the end of a days he received d cents. How many days was he idle?
Page 142 - A man has a hours at his disposal. How far can 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 ? 9.
Page 203 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Page 132 - A man. leaves the half of his property to his wife, a sixth to each of his two children, a twelfth to his brother, and the remainder, amounting to $600, to his sister.
Page 45 - A is twice as old as B, and 22 years ago he was three times as old as B. What is A's age ? 23.