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Elements of Algebra, Volume 1

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J. Johnson and Company, 1810 - Algebra

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Title Page

Table of Contents

Table of Contents

Contents

OF THE FIRST VOLUME PART I	1

Of the Multiplication of Simple Quantities	8

Of the nature of whole Numbers or Integers with respect to their Factors	14

Of the Division of Simple Quantities	17

Of the properties of Integers with respect to their Divisors	22

Of Fractions in general	28

Of the Properties of Fractions	35

Of the Addition and Subtraction of Fractions	39

Of the Resolution of Fractions into Infinite Series	127

243	133

Of the Squares of Compound Quantities	141

Of the Extraction of Roots applied to Com pound Quantities	144

Of the Calculation of Irrational Quantities	150

Of Cubes and of the Extraction of Cube Roots	155

Of the higher Powers of Compound Quantities	158

Of the Transposition of the Letters on which the demonstration of the preceding Rule is founded	165

Of the Multiplication and Division of Fractions	44

Of Square numbers L	50

Of Square Roots and of Irrational Numbers result ing from them	54

Of Impossible or Imaginary Quantities which arise from the same source	61

Of Cubic Numbers	65

Of Cube Roots and of Irrational Numbers re sulting from them	67

Of Powers in general	71

Of the Calculation of Powers 1	76

Of Roots with relation to Powers in general	79

Of the Method of representing Irrational Numbers by Fractional Exponents	82

Of the different Methods of Calculation and of their Mutual Connexion	86

Of Logarithms in general	91

Of the Logarithmic tables that are now in use	96

Of the Method of expressing Logarithms	100

SECTION II	110

Of the Subtraction of Compound Quantities	113

Of the Multiplication of Compound Quantities	115

Of the Division of Compound Quantities	122

Of the Expression of Irrational Powers by In finite Series	172

Of the Resolution of Negative Powers	177

Of Arithmetical Ratio or the Difference	182

3	200

17	203

Of the Greatest Common Divisor of two given	213

47	215

28	229

35	243

Of the Calculation of Interest	255

SECTION IV	270

Of the Solution of Questions relating to the pre	281

39	304

Degree	320

Of the Resolution of Mixed Equations of the Second	332

44	335

50	387

54	393

Common terms and phrases

adding Algebra already arithmetical progression arithmetical proportion becomes calculation called CHAP coefficient Compound Quantities consequently consider crowns cube root decimal fraction deduce denominator determine difference divide dividend division ducats easily equal equation evident exponent expressed factors farther figures formula frac geometrical progression given number gives gonal greater number greatest common divisor gression Hence hundredweight infinite series integer irrational last term lastly less letters likewise logarithm manner means merator method minus multiplied natural numbers negative numbers number of terms number sought observed obtain polygonal numbers positive numbers preceding prime numbers principal proposed question quotient radical sign ratio reduced relation remainder remark represented required to find resolve rithms rubles rule second term sides square root subtracting suppose tables tion transpositions unity unknown quantity vulgar fraction whence wherefore whole number write

Bibliographic information

Title	Elements of Algebra, Volume 1 Elements of Algebra, Leonhard Euler
Author	Leonhard Euler
Edition	2
Publisher	J. Johnson and Company, 1810
Original from	Princeton University
Digitized	27 Jan 2009

Export Citation	BiBTeX EndNote RefMan

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