ADVERTISEMENT

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MEMOIR OF THE LIFE AND CHARACTER OF EULER, BY THE LATE FRANCIS HORNER, ESQ., M. P.

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ADVERTISEMENT BY THE EDITORS OF THE ORIGINAL, IN GERMAN

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ADVERTISEMENT BY M. BERNOULLI, THE FRENCH TRANSLATOR

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Contents

pp xxvii-xxx

PART I - Containing the Analysis of Determinate Quantities

SECTION I - Of the Different Methods of calculating Simple Quantities

Chap. I - OF Mathematics in general

pp 1-2

Chap. II - Explanation of the signs + plus and − minus

pp 3-6

Chap. III - Of the Multiplication of Simple Quantities

pp 6-10

Chap. IV - Of the nature of whole Numbers, or Integers with respect to their Factors

pp 10-12

Chap. V - Of the Division of Simple Quantities

pp 13-15

Chap. VI - Of the properties of Integers, with respect to their Divisors

pp 16-19

Chap. VII - Of Fractions in general

pp 20-23

Chap. VIII - Of the Properties of Fractions

pp 24-27

Chap. IX - Of the Addition and Subtraction of Fractions

pp 27-30

Chap. X - Of the Multiplication and Division of Fractions

pp 30-35

Chap. XI - Of Square Numbers

pp 36-38

Chap. XII - Of Square Roots, and of Irrational Numbers resulting from them

pp 38-42

Chap. XIII - Of Impossible, or Imaginary Quantities, which arise from the same source

pp 42-44

Chap. XIV - Of Cubic Numbers

pp 45-46

Chap. XV - Of Cube Roots, and of Irrational Numbers resulting from them

pp 46-48

Chap. XVI - Of Powers in general

pp 48-52

Chap. XVII - Of the Calculation of Powers

pp 52-54

Chap. XVIII - Of Roots with relation to Powers in general

pp 54-55

Chap. XIX - Of the Method of representing Irrational Numbers by Fractional Exponents

pp 56-60

Chap. XX - Of the different Methods of Calculation, and of their Mutual Connexion

pp 60-63

Chap. XXI - Of Logarithms in general

pp 63-66

Chap. XXII - Of the Logarithmic Tables that are now in use

pp 66-69