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added addition algebraic already arithmetical becomes binomial called cents changed CHECK coefficient common factor complete consider contains cost cube definition denominator difference digits distance Divide division divisor dollars equal equation equivalent evident example exponent expression factors feet figure Find Find the number Find the value fraction given gives graphs greater Hence identity increased indicated integral length less letters logarithm means method minutes multiplied negative obtained operation original positive pounds preceding principle problem progression prove quadratic quotient rational Reduce remainder represent respectively result rods satisfy seen Show side Simplify solution Solve Solve the equation Solve the system square root Substituting subtracted surd symbols term third twice units unknown numbers write written zero
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 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...