# The elements of algebra

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### Contents

 Introduction 1 Multiplication and Division 14 CHAPTER II 33 Greatest Common Measure 46 CHAPTER III 75 Quadratic Equations Problems 98 131 146
 CHAPTER V 166 Arithmetic Series 182 Harmonic Progression 199 CHAPTER VII 205 CHAPTER VIII 211 Appendix 231

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Page 243 - Treatise on Statics : containing the Theory of the Equilibrium of Forces, and numerous Examples Illustrative of the General Principles of the Science.
Page 243 - London. 3s. A COMPANION to EUCLID; being a Help to the Understanding and Remembering of the First Four Books ; with a Set of Improved Figures, and an Original .Demonstration of the Proposition called, in % Euclid, the Twelfth Axiom.
Page 38 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 199 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 22 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 244 - THE GREEK TEXT of the ACTS of the APOSTLES ; with Notes, Original and Selected ; for the Use of Students in the University. By HASTINGS ROBINSON, DD, FAS, Rector of Great Warley, and formerly Fellow and Assistant Tutor of St.
Page 244 - BUTLER'S ANALOGY. By the Rev. GW CRAUFURD, MA, late Fellow of King's College, Cambridge. 2s. fid. PALEY'S EVIDENCES OF CHRISTIANITY EPITOMIZED ; with a View to exhibit his Argument in a small Compass, without omitting or weakening any of its component Parts.
Page 243 - AN INTRODUCTION TO THE STUDY OF CHEMICAL PHILOSOPHY : being a preparatory View of the Forces which concur to the Production of Chemical Phenomena. By J. FREDERIC DANIELL, FRS Professor of Chemistry in King's College, London ; and Lecturer on Chemistry and Geology in the Hon. East India Company's Military Seminary at Addiscombe ; and Author of Meteorological Essays.
Page 244 - THE CAMBRIDGE GREEK AND ENGLISH TESTAMENT; the Greek (from the THIRD EDITION of STEPHENS), and the English from the Authorized Version, being given in Parallel Columns on the same Page.
Page 173 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.