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### Contenido

 CHAPTER 1 70 4 DEFINITIONS 5 ADDITION 7 SUBTRACTION 10 MULTIPLICATION 15 DIVISION 22 SIMPLE EQUATIONS 27
 DivisioN OF RADICALS 161 INVOLUTION AND EVOLUTION OF RADICALS 165 CHAPTER PAGE XXIV IMAGINARY EXPRESSIONS 172 89 175 QUADRATIC EQUATIONS 176 PROPERTIES OF QUADRATICS 193 98 197 SIMULTANEOUS EQUATIONS INVOLVING QUADRATICS 199

 FACTORS 32 HIGHEST COMMON FACTOR 62 LEAST COMMON MULTIPLE 68 REDUCTION OF FRACTIONS 70 ADDITION AND SUBTRACTION OF FRACTIONS 77 FRACTIONAL EQUATIONS 89 SIMULTANEOUS EQUATIONS OF THE FIRST DEGREE 98 INEQUALITIES 116 INVOLUTION AND EVOLUTION 121 SIMPLE INDETERMINATE EQUATIONS 136 THEORY OF EXPONENTS 142 RADICAL EXPRESSIONS 147 ADDITION OF RADICALS 153 SUBTRACTION OF RADICALS 156 MULTIPLICATION OF RADICALS 158
 121 201 147 207 161 210 165 211 Ratio PROPORTION AND VARIATION 212 ARITHMETICAL PROGRESSION 228 GEOMETRICAL PROGRESSION 235 HARMONICAL PROGRESSION 244 INDETERMINATE COEFFICIENTS 248 BINOMIAL THEOREM 258 LOGARITHMS 267 PERMUTATIONS AND COMBINATIONS 283 INTEREST AND ANNUITIES 296 CONTINUED FRACTIONS 302 Derechos de autor

### Pasajes populares

Página 20 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 21 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Página 217 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 271 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Página 220 - If three quantities are in continued proportion, the first is to the third as the square of the first is to the square of the second. Let a : b = b : c. Then, 2=*. b с Therefore, ^xb. = ^x± b с bb Or °r
Página 214 - In any proportion, the product of the means equals the product of the extremes.
Página 284 - For the first place can be filled in n ways, the second in n - 1 ways, the third place in n - 2 ways, and the rth place in n - (r - 1) ways.
Página 258 - If the coefficient of any term be multiplied by the exponent of a in that term, and the result divided by the exponent of x in the term increased by 1, the quotient will be the coefficient of the next following term.
Página 82 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.