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GREATEST COMMON DIVISOR.-LEAST COMMON MULTIPLE.
How the Greatest Common Divisor is found.......
62
64
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72
EQUATIONS WITII MORE THAN ONE UNKNOWN QUANTITY.
Different Methods of Elimination
99
Equations containing three or more Unknown Quantities....
Problems involving several Unknown Quantities.......
105
109
CHAPTER XIV.
EQUATIONS OF THE SECOND DEGREE. ;
Incomplete Equations of the Second Degree........
Complete Equations of the Second Degree........
Equations which may be solved like Quadratics.......
Problems producing Equations of the Second Degree.....................
Equations containing two unknown Quantities.................
General Properties of Equations of the Second Degree.....
Discussion of the general Equation of the Second Degree..
Discussion of particular Problems.
Geometrical Construction of Equations........
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GENERAL THEORY OF EQUATIONS.
Definitions and general Properties.........
An Equation of the nth Degree has n Roots...
Law of the Coefficients of every Equation.......
Number of imaginary Roots.
Transformation of Equations
Descartes's Rule of Signs.
Composition of derived Polynomials
Equal Roots.........
Sturm's Theorem
Solution of simultaneous Equations of any Degree
CHAPTER XXII.
NUMERICAL EQUATIONS OF HIGHER DEGREES.
Commensurable Roots...............
Incommensurable Roots-Horner's Method
Equations of the fourth and higher Degrees.....
Newton's Method of Approximation
Method of double Position........
MISCELLANEOUS EXAMPLES