A Treatise on AlgebraReprint of the original, first published in 1881. |
Contents
DEFINITIONS AND NOTATION | 9 |
Combination of Algebraic Quantities | 16 |
CHAPTER III | 25 |
CHAPTER IV | 32 |
CHAPTER VII | 62 |
CHAPTER VIII | 79 |
Addition and Subtraction of Fractions | 87 |
CHAPTER IX | 99 |
Powers and Roots of Radical Quantities | 164 |
Square Root of a Binomial Surd | 171 |
CHAPTER XIV | 177 |
69 | 189 |
72 | 201 |
284 | 210 |
CHAPTER XV | 214 |
Definitions and general Properties | 219 |
Equations containing three or more Unknown Quantities | 105 |
CHAPTER X | 114 |
The common System of Logarithms | 115 |
Indeterminate Solutions | 121 |
CHAPTER XI | 127 |
CHAPTER XII | 133 |
Square Root of Numbers | 139 |
Cube Root of Polynomials | 146 |
62 | 147 |
64 | 154 |
Addition and Subtraction of Radical Quantities s | 157 |
Variation | 222 |
32 | 226 |
Examples | 230 |
Examples | 237 |
Permutations and Combinations | 244 |
Sir Isaac Newtons Binomial Theorem | 251 |
To extract any Root of a Number | 257 |
Interpolation | 263 |
Sturms Theorem | 323 |
Solution of simultaneous Equations of any Degree | 331 |
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Common terms and phrases
algebraic algebraic quantity arithmetical progression binomial binomial theorem cents Clearing of fractions coefficient common denominator common index completing the square continued fraction cube root decimal denote digits Divide the number dividend divisible dollars equal equation whose roots equations containing EXAMPLES exponent expression Extract the square factors fifth power Find the cube Find the fifth Find the fourth Find the square Find the sum find the values Find two numbers following RULE fourth power fourth root geometrical progression greater greatest common divisor Hence indicates inequality infinite series last term least common multiple logarithm miles monomial negative nth root number of terms obtain polynomial positive preceding problem quotient Radical Quantities radical sign ratio Reduce remainder represent Resolve result second degree second term simultaneous equations Solve the equation square root suppose surd tion unknown quantity whence whole number zero