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### Contenido

 CHAPTER PAGE 1 Negative Quantities Addition of Like Terms 9 Multiplication 24 Division 38 65 41 Removal and Insertion of Brackets 48 Simple Equations 55 Symbolical Expression 60
 152 212 Imaginary Quantities 222 Quadratic Equations 235 OHAPTER PAGI 245 Theory of Quadratic Equations 264 Indeterminate Equations of the First Degree 276 Ratio 286 154 300

 121 95 132 105 Complex Fractions Mixed Expressions 126 Fractional and Literal Equations 136 Simultaneous Equations 147 Problems 160 OHAPTER PAGE 169 Evolution 176 The Theory of Indices 191 Surds Radicals 203 147 206
 Arithmetical Progression 301 Permutations and Combinations 319 Probability Chance 331 Proof for Positive Integral 338 OHAPTER PAGE 345 Logarithms 352 165 357 Logarithms in Arithmetical Calculation 358 Cologarithms 365 Derechos de autor

### Pasajes populares

Página 319 - Therefore the number of permutations of n things taken r at a time is n(n -l)1n — 2)-.(n — r + 1).
Página 298 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
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. INVOLUTION OF MONOMIALS. 187. From definition -we have, by the rules of multiplication, (a2)* = a1 . a
Página 328 - Simoom, so that vowels and consonants occur alternately in each word ? 4. 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 351 - The logarithm of a product is the sum of the logarithms of its factors.
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 352 - DEFINITION. The integral part of a logarithm is called the characteristic, and the decimal part, when it is so written that it is positive, is called the mantissa.
Página 100 - DEFINITION. The Lowest Common Multiple of two or more algebraic expressions is the expression of lowest dimensions which is divisible by each of them without remainder. The abbreviation L.
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 ? (1...
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.