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The philosophy of mathematics

Book 1 — CHAPTER II.

W. M. (William Mitchell) Gillespie translation

ORDINARY ANALYSIS; OR, ALGEBRA. 69

Its Object 69 Classification of Equations 70

Algebraic Equations 71

Their Classification 71

Algebraic Resolution of Equations 72

Its Limits 72 General Solution 72 What we know in Algebra 74

Numerical Resolution of Equations 75

Its limited Usefulness 76

Different Divisions of the two Systems 78

The Theory of Equations 79

The Method of Indeterminate Coefficients 80

Imaginary Quantities 81

Negative Quantities 81

The Principle of Homogeneity 84

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