## Elements of algebra1860 |

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**person**wishes to purchase a certain number of yards of cloth . He finds that , if he selects cloth at £ 1 a yard ...**person's**money , and of the latter 8s . less ; therefore the difference of value of the two sets of cloth is 40s ... Page 15

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**person's**expenses amount to of his income ; taxes amount to of his income ; and he saves £ 189 yearly . is his income ? What 14. Divide £ 900 between A , B , and C , so that A may have twice as much as B , and C half PROBLEMS FOR ... Page 23

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**person**. But as the result is negative , we reasonably conclude that our expectation was in- correct , and that we ought to subtract the number instead . By doing this we obtain the correct result . Let us see , then , what modification ... Page 27

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**person's**property , " or something of the kind , the difficulty will be removed . Nor is it even requisite to supply so much as this phrase in the example last given ; it will quite suffice if we understand that the capital which is to ... Page 41

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**persons**to omit the literal factors throughout the operation , and to write down the numerical coefficients and their signs only . 1. Multiply x + 3x2 + 2x2 - 3x - 5 by x2 - 2x + 4 . The operation may be thus written- 1 + 3 + 2-3-5 1-2 ...### Other editions - View all

### Common terms and phrases

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

### Popular passages

Page 175 - To divide a given straight line into two parts, so that the rectangle contained by the -whole, and one of the parts, may be equal to the square of the other part.

Page 5 - AN INTRODUCTION TO CLINICAL MEDICINE. Six Lectures on the Method of Examining Patients, and the Means Necessary for Arriving at an Exact Diagnosis. Third Edition, with numerous illustrations. 12mo. 5s. By the same Author, CLINICAL LECTURES ON THE THEORY AND PRACTICE OF MEDICINE.

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...

Page 232 - But in 30 days the scurvy made its appearance, and carried off three men every day, and at the same time a storm arose, which protracted the voyage three weeks. They were however just enabled to arrive in port, without any diminution in each man's daily allowance of water. Required the time of the passage, and the number of men alive when the vessel reached harbour.

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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...