Publisher's Synopsis
Excerpt from The Analysis and Solution of Cubic and Biquadratic Equations: Forming a Sequel to the Elements of Algebra, and an Introduction to the Theory and Solution of Equations of the Higher Orders
By the roots of an equation we are to understand all those values, whether real or imaginary, which, when substituted for the unknown quantity in it, verify the equation; that is, which really fulfil the condition implied in the equation.
In the theory to be unfolded in the subsequent chapters, we recognize determinate equations only; that is to say, equations containing but one unknown quantity. Groups of equations, in volving as many. Unknown quantities as there are distinct and independent equations, do virtually come within this theory; because every such group may be reduced, by elimination, to so many separate determinate equations, each involving but one unknown quantity. (algebra, art.
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