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a₁ a²b a²b² a²x a²x² a³b ab² ab³ arithmetical means arithmetical progression ax² binomial cents cistern coefficient colog complex numbers courier cube root denominator difference digits divided division divisor equivalent examples illustrate EXERCISES exponent feet Find the value following expressions following method gallons geometrical geometrical progression given equation harmonical mean illustrate the following less Let x stand letter of arrangement logarithm mantissa minutes monomial multinomial Multiplying negative number number of dollars obtained original number parentheses partial fractions pipe positive integer positive number principle problem quadratic equation quotient radicand ratio remainder resulting number second term solution Solve the equation square root Substituting subtracted surd trial divisor trinomial type-form units unknown number whence x²y x²y² xy² yards
Popular passages
Page 66 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Page 305 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Page 208 - ... term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.
Page 309 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 308 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Page 368 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 87 - That is, the difference of the squares of two numbers is exactly divisible by the sum of the numbers, and also by the difference of the numbers, taken in the same order...
Page 81 - The square of the sum of two numbers is equal to the square \ (¿ of the first, plus twice the product of the first and second, plus the J square of the second.
Page 326 - Evidently the sum can be made to differ from 2 by as little as we please, by taking a sufficient number of terms.
Page 307 - In any proportion the terms are in proportion by. Composition ; that is, the sum of the first two terms is to the first term, as the sum of the last two terms is to the third ter.n.