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added Addition affected algebraic amount apples arithmetical becomes binomial called cents changed Clear coefficient complete compound interest contains cost cube root decimal denominator denote difference Divide dividend division dollars equal equation exponent expressed factors figures Find the square find x four fourth fraction gains geometrical give Given greater greatest common divisor half Hence increased indicated integer least common multiple less letters logarithm means miles Monomial Multiply negative obtain orders persons placed polynomial positive prime factors PROBLEMS progression proportion quadratic equation quotient radical ratio received Reduce remainder represent Resolve result Rule Show similar simple sold SOLUTION Solve square root Substituting subtracted taken Theorem third tions Transposing twice uniting unknown quantity whence whole yards
Page 50 - 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.
Page 64 - 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.
Page 261 - A person has two horses, and a saddle worth £50 ; now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
Page 244 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 194 - Art. 338, that in a proportion, either extreme is equal to the product of the means, divided by the other extreme ; and either of the means is equal to the product of the extremes, divided by the other mean.
Page 218 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards ; but if the circumference of each wheel be increased...
Page 64 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Page 43 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.