## Elements of algebra |

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### Common terms and phrases

2ab+ 2ab+b² A's money a²b² a²x² algebraic arithmetic series arithmetical arithmetical progression ax² bushel coefficient common difference contain cube root decimal denominator divided division divisor equal example expression Extract the square Find the least Find the square Find the sum find the value gallons geometric geometric series geometrical progression greatest common measure hence increased infinity least common multiple less miles an hour Multiply Newmarket number of terms number or fraction numerical quantity obtain operations PROP proposition quadratic QUADRATIC EQUATIONS quotient ratio remainder represent Required the number result second equation Shew side solution solved square root subtract suppose surd symbol tion travelled true University of Edinburgh unknown quantity whole number x³y yards دو

### 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 xi - 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.

Page x - A Manual of Botany : being an Introduction to the Study of the Structure, Physiology, and Classification of Plants.

Page x - 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.

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 vii - MA) Class Book of English Prose, Comprehending Specimens of the most Distinguished Prose Writers from CHAUCER to the Present Time, with Biographical Notices, Explanatory Notes, and Introductory Sketches of the History of English Literature. 12mo, cloth, price 4s.

Page viii - KELLAND (Professor). Elements of Algebra, for the use of Schools and Junior Classes in Colleges. Crown 8vo, price 4s. — Algebra — being a, Complete and easy Introduction to Analytical Science. Crown 8vo, pp. 467, price 7s. 6d. KEMP (WS, MA) Exercises in Latin Syntax, adapted to Ruildiman's Bules, with Copions Vocabularies.

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...