# Algebra for Colleges and Schools

Macmillan, 1897 - 516 páginas

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### Contenido

 92 72 39 77 98 78 Highest Common Factor 92 Lowest Common Multiple 102 Complex Fractions Mixed Expressions 126 Fractional and Literal Equations 136 Simultaneous Equations 147 Problems 160 Evolution 176 The Theory of Indices 191 Surds Radicals 203 Imaginary Quantities 222 Quadratic Equations 235 Equations in Quadratic Form 245
 Interest and Annuities 367 Undetermined Coefficients 386 Continued Fractions 400 Summation of Series 413 Proof for Any Index 426 Determinants 435 46 437 48 449 Theory of Equations 450 53 476 126 488 55 499 132 505 232 513 Derechos de autor

### Pasajes populares

Página 167 - 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.
Página 264 - 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.
Página 351 - The logarithm of a product is the sum of the logarithms of its factors.
Página 352 - The Integral Part of a logarithm is called the Characteristic, and the decimal part the Mantissa.
Página 183 - 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.
Página 102 - ... 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.
Página 289 - 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.
Página 328 - 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.
Página 322 - From 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...
Página 290 - Hence if any three terms of a proportion are given, the fourth may be found. Thus if a...