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### Contenido

 INTRODUCTION 9 ADDITION 36 SUBTRACTION 45 MULTIPLICATION 58 DIVISION 80 FACTORS 104 HIGHEST COMMON FACTOR 123 LOWEST COMMON MULTIPLE 130
 THEORY OF EXPONENTS 241 THEORY OF EXPONENTS 244 RADICALS AND SURDS 258 IMAGINARY AND COMPLEX NUMBERS 275 QUADRATIC EQUATIONS WITH ONE UNKNOWN NUMBER 283 SIMULTANEOUS QUADRATIC EQUATIONS 316 INEQUALITIES 345 Ratio PROPORTION AND VARIATION 351 SERIES 368

### Pasajes populares

Página 85 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 74 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Página 412 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 205 - What fraction is that, whose numerator being doubled, and the denominator increased by 7, the value becomes f ; but the denominator being doubled, and the numerator increased by 2, the value becomes -jj-?
Página 357 - 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 355 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Página 74 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Página 68 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Página 241 - ... plus three times the product of the square of the tens by the units, plus three times the product of the tens by the square of the units, plus the cube of the units. This being the case, the cube of the tens...
Página 35 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.