Algebra for Colleges and Schools |
Contents
| 60 | |
| 79 | |
| 82 | |
| 87 | |
| 102 | |
| 107 | |
| 126 | |
| 136 | |
| 169 | |
| 176 | |
| 191 | |
| 203 | |
| 222 | |
| 319 | |
| 331 | |
| 345 | |
| 352 | |
| 367 | |
| 386 | |
| 400 | |
| 413 | |
| 426 | |
| 450 | |
| 486 | |
| 502 | |
| 517 | |
Other editions - View all
Common terms and phrases
a²b a²b² a²x a²x² a³b a³b³ ab² ab³ Arithmetic ax² ax³ b₁ binomial Binomial Theorem bx² cents CHAPTER coefficient column compound expressions continued fraction convergent cube root denote descending powers difference digits dimes Divide dividend division divisor equal equation find the number Find the square Find the sum find the value following expressions Hence highest common factor letter logarithm lowest common multiple miles an hour Multiply negative number of terms numerator and denominator obtain prefix quadratic quadratic equation quadratic surds quotient rational remainder Resolve into factors result rule of signs second terms Simplify Solve square root Subtract surd symbols unknown quantity whence whole number x²y x²y² x³y x³y³ xy² xy³ yards zero
Popular passages
Page 159 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Page 175 - The sixth root of an expression is found by taking the cube root of the square root, or the square root of the cube root.
Page 256 - That is, if a quadratic equation be reduced to the form x?+px = q, the algebraic sum of the roots is equal to the coefficient of x with its sign changed, and the product of the roots is equal to the second member, with its sign changed.
Page 343 - The logarithm of a product is the sum of the logarithms of its factors.
Page 94 - ... remainder. The lowest common multiple of two or more algebraic expressions is the expression of lowest degree which will contain them all without a remainder.
Page 281 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Page 320 - A telegraph has 5 arms, and each arm has 4 distinct positions, including the position of rest: find the total number of signals that can be made.
Page 314 - Prom 7 Englishmen and 4 Americans a committee of 6 is to be formed : in how many ways can this be done, (1) when the committee contains exactly 2 Americans, (2) at least 2 Americans...
Page 54 - AXIOMS. 1. If equals are added to equals, the sums are equal. 2. If equals are subtracted from equals, the remainders are equal. 3. If equals are multiplied by equals, the products are equal. 4. If equals are divided by equals, the quotients are equal.
Page 281 - In any proportion the product of the extremes is equal to the product of the means. Let the proportion be a : b = с : d.