Elementary Algebra

Macmillan and Company, 1895 - Algebra - 478 pages
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Contents

 VII 42 Simple Equations 48 Symbolical Expression 53 Problems Leading to Simple Equations 59 Resolution into Factors 63 Trinomial Expressions 65 Difference of Two Squares 70 Sum or Difference of Two Cubes 74 Highest Common Factor 77 Lowest Common Multiple 86 Harder Factors 91 Fractions 95 Multiplication and Division 98 Addition and Subtraction 102 Rules for Change of Sign Cyclic Order 112 Complex Fractions Mixed Expressions 114 Miscellaneous Exercise 122 Fractional and Literal Equations 126 Problems PAGE 1 132 13 133 25 134 CHAPTER PAGE 135 34 138 42 144
 Elementary Surds 229 63 233 65 235 Imaginary Quantities 249 CHAPTER PAGE 254 70 264 Ratio 266 Permutations and Combinations 300 Probability Chance 310 The General Term 316 Application when Index is Negative or Frac 322 98 336 Interest and Annuities 342 Convergency and Divergency of Series 351 Undetermined Coefficients 359 Continued Fractions 369 Summation of Series 381 Equal Roots 437 Graphical Representation of Functions 444 Horners Method of Approximation 452 112 463 126 464 1 465 Copyright

Popular passages

Page 331 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 256 - In a quadratic equation wJiere the coefficient of the first term is unity, (i) the sum of the roots is equal to the coefficient of x with its sign changed ; (ii) the product of the roots is equal to the third term.
Page 168 - Thus the 4th root (2x2) = the square root of the square root ; the sixth root (3x2) = the cube root of the square root, or the square root of the cube root.
Page 178 - A basket of oranges is emptied by one person taking half of them and one more, a second person taking half of the remainder and one more, and a third person taking half of the remainder and six more. How many did the basket contain at first ? 17.
Page 179 - Two vessels contain mixtures of wine and water ; in one there is three times as much wine as water, in the other five times as much water as wine. Find how much must be drawn off from each to fill a third vessel which holds seven gallons, in order that its contents may be half wine and half water.
Page 280 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1...
Page 213 - Art. 167 we saw that if the number of unknown quantities is greater than the number of independent equations, there will be an unlimited number of solutions, and the equations will be indeterminate. By introducing conditions, however, we can limit the number of solutions. When positive integral values of the unknown quantities are required, the equations are called simple indeterminate equations. The introduction of this restriction enables us to express the solutions in a very simple form. Ex. 1....