Elements of algebra1860 |
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Page 6
... positive sign . When no sign appears before a quantity , understood . must be The symbol , which is read minus , signifies diminished by , so that the second of the two quantities which it connects must be subtracted from the first . It ...
... positive sign . When no sign appears before a quantity , understood . must be The symbol , which is read minus , signifies diminished by , so that the second of the two quantities which it connects must be subtracted from the first . It ...
Page 23
... positive solution was equivalent to the expectation that a certain number of years would have to be added to the first assigned age of the person . But as the result is negative , we reasonably conclude that our expectation was in ...
... positive solution was equivalent to the expectation that a certain number of years would have to be added to the first assigned age of the person . But as the result is negative , we reasonably conclude that our expectation was in ...
Page 25
... positive , and all those which have the negative sign respec- tively , and proceeding as before , or by performing the operation on two terms , then on the result and a third term , and so on . These rules are too obvious to require a ...
... positive , and all those which have the negative sign respec- tively , and proceeding as before , or by performing the operation on two terms , then on the result and a third term , and so on . These rules are too obvious to require a ...
Page 29
... positive terms of the subtrahend are changed into negative terms in the result , and the negative terms of the subtrahend into positive Hence the following rule is sometimes given : - ones . RULE . Change the signs of the terms in the ...
... positive terms of the subtrahend are changed into negative terms in the result , and the negative terms of the subtrahend into positive Hence the following rule is sometimes given : - ones . RULE . Change the signs of the terms in the ...
Page 33
... positive , unlike signs a negative result , which rule is called the RULE OF SIGNS . In writing down simple products it is usual to follow the alphabetical order of the letters which compose it : thus , we write ab not ba , bx not xb ...
... positive , unlike signs a negative result , which rule is called the RULE OF SIGNS . In writing down simple products it is usual to follow the alphabetical order of the letters which compose it : thus , we write ab not ba , bx not xb ...
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A's money a+b+c a²b² a²x a²x² algebraic arithmetic series arithmetical progression ax² bushel coefficient common difference contain cube root decimal denominator distance divided division divisor equal example expression factor Find the least Find the sum Find the value fraction gallons geometric geometric series geometrical progression greatest common measure hence increased infinity least common multiple least number less miles an hour Multiply Newmarket number of terms numerical quantity obtain operations person problem PROP quadratic QUADRATIC EQUATIONS question quotient remainder represent Required the number result second equation sheep shew side solution solved square root subtract suppose surd symbol third three times B's tion travelled unknown quantity whole number x³y xy³ yards دو وو
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Page 231 - But wheat rising 2s. per bushel, and work being scarce, the family find the sum saved would not buy as much wheat as their former savings by two bushels ; when it appears that at this rate the sum annually saved would be less by five guineas than by the former. Now the two youngest dying it is found that if the remaining members of the family saved each one shilling less than the oldest child had done before the rise of wheat, their monthly account with the bank would not be affected by the deaths...
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Page 219 - ... pounds per chain, as there were chains in the street leading to A. The sewer however being insufficient to carry off the water, an additional drain was made from a point in this street, distant 4 chains from the bridge A, which entered the river at the same point with the sewer, and was equally inclined to the river and sewer. Now it was found that a drain down the middle of each street, at the rate of £9 per chain would have cost only £54 more than the expense of the sewer. Required the lengths...
Page 213 - ... way that he bought it, he privately clips off one twenty-fifth part, He may now legally sell it as a light guinea, and he finds that in consequence of the rise of pure gold in the ratio of 239 : 249 he just gains the clippings by his purchase. It is required to find the ratio of pure gold and alloy in the guinea, and also the relative value of equal quantities of pure gold and. alloy, it being known that the sum of the squares of the numbers •which express the two ratios, exceeds eleven times...