Elements of algebra1860 |
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Σελίδα 3
... performed on things not known , nor susceptible of representation . We may proceed as follows : - A's money is four times B's . Now , whilst B's is increased by £ 15 , let A's be increased in such a manner that it shall still remain ...
... performed on things not known , nor susceptible of representation . We may proceed as follows : - A's money is four times B's . Now , whilst B's is increased by £ 15 , let A's be increased in such a manner that it shall still remain ...
Σελίδα 4
... performed on it , and conclusions deduced from them ; and although these operations are simply those of multiplication and addition , yet the mind has nevertheless to fix itself on B's money , as though it were a thing actually repre ...
... performed on it , and conclusions deduced from them ; and although these operations are simply those of multiplication and addition , yet the mind has nevertheless to fix itself on B's money , as though it were a thing actually repre ...
Σελίδα 24
... performed by means of correspond- ing partial ones in any order . This axiom is applied to algebra , with the ... performed in any order . LAW 3. THE COMMUTATIVE LAW . Multiplications and divisions may be performed in any order . The ...
... performed by means of correspond- ing partial ones in any order . This axiom is applied to algebra , with the ... performed in any order . LAW 3. THE COMMUTATIVE LAW . Multiplications and divisions may be performed in any order . The ...
Σελίδα 25
... performed by multiplying every part of the one number by every part of the other , and then adding together the ... performing the operation on two terms , then on the result and a third term , and so on . These rules are too obvious to ...
... performed by multiplying every part of the one number by every part of the other , and then adding together the ... performing the operation on two terms , then on the result and a third term , and so on . These rules are too obvious to ...
Σελίδα 26
... perform the first subtrac- tion , it remains that from 5a + 6x is to be subtracted 15x . Now , if our operation consisted merely in subtracting 6x , the result would be 5a ; but having done this , there still remains 9x to be subtracted ...
... perform the first subtrac- tion , it remains that from 5a + 6x is to be subtracted 15x . Now , if our operation consisted merely in subtracting 6x , the result would be 5a ; but having done this , there still remains 9x to be subtracted ...
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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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Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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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Σελίδα 4 - PRACTICAL HISTOLOGY: By WILLIAM RUTHERFORD, MD, Professor of the Institutes of Medicine in the University of Edinburgh. Second Edition, with. 63 Engravings. Crown 8vo (with additional leaves for notes), 6s.
Σελίδα 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...
Σελίδα 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...