CHAPTER II.. Ordinary Analysis; or, Algebra. 69

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