A Higher AlgebraGinn & Company, 1902 |
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Common terms and phrases
9 a² 9 x² a² b² a²b a²b² a²c a²x² a³b ab² ab³ ac² ax² ax³ Clear of fractions colog Complete the square convergent Equate values EXERCISE Extract root Extract the root feet Find the number Hence minute-spaces in arc Multiply negative root number of cents number of days number of dollars number of gallons number of hours number of miles number of minute-spaces number of pounds number of shot number of yards positive root quotient reduced equation second numerator Simplify Substitute value Subt Subtract Sum of fractions sum of numerators term third numerator Transpose and combine value of x Whence whole number x²y x²y² x³y xy¹ xy² xy³ ах
Popular passages
Page 348 - 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 142 - 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 ? 76.
Page 128 - 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 c miles an hour ? 43.
Page 140 - A trader maintained himself for 3 years at the expense of $ 50 a year ; and in each of those years augmented that part of his stock, which was not so expended by one-third thereof.
Page 413 - 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 191 - 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.
Page 37 - A is three times as old as B, and 19 years hence he will be only twice as old as B. What is the age of each ? 31.
Page 140 - A cask contains 12 gallons of wine and 18 gallons of water ; another cask contains 9 gallons of wine and 3 gallons of water. How many gallons must be drawn from each cask to produce a mixture containing 7 gallons of wine and 7 gallons of water ? 71.
Page 189 - The sum of the digits is 21 : the sum of the first and second is greater than the third by 3; and if 198 be added to the number the digits will be inverted.
Page 398 - A number consists of three digits which are in arithmetical progression ; and this number divided by the sum of its digits is equal to 26 ; but if 198 be added to it, the digits in the units' and hundreds