A Treatise on Algebra

Harper & brothers, 1847 - 314 pàgines

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 DeFINITIONS AND NOTAtion 2 Algebraic Quantity Monomial Polynomial 8 SECTION III 16 Case of Polynomials Rule for the Signs 23 Multiplication by detached Coefficients 29 Case of Polynomials 37 SECTION VI 43 To reduce a mixed Quantity to the Form of a Fraction 47
 Discussion of the general Equation of the Second Degree 168 Proportion Product of Extremes and Means 175 Harmonical Proportion Variation 182 SECTION XIV 188 Geometrical Progression Last Term Sum of the Terms 194 Harmonical Progression 200 SECTION XVI 210 When the Exponent is Negative 217

 SECTION VII 58 Solution of Problems 65 SECTION VIII 78 Equations containing three unknown Quantities 87 the reasoning employed in the solution of all questions relating 92 Infinite Values Indeterminate Values 96 SECTION X 105 Sign of the Root Square Root of a Trinomial 112 To reduce a Rational Quantity to the Form of a Surd 120 Involution and Evolution of Surd Quantities 127 To free an Equation from Radical Quantities 133 EQUATIONS OF THE SECOND DEGREE 137 Solution of the Equation acº + pa q 148 Quadratic Equations containing two unknown Quantities 156
 SECTION XVII 223 P To extract any Root of a Polynomial 228 Definitions Orders of Differences 234 Infinite Series obtained by extracting the Square Root 240 SECTION XIX 246 What Equations have no Fractional Roots 253 The Limits of a Root determined 259 SECTION XX 269 Horners Method for Incommensurable Roots 282 Method of Double Position 289 Multiplication and Division Involution and Evolution 296 Logarithmic Series 303 Naperian Logarithms Common Logarithms 310