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a₁ a²b a²b² ab² ab³ algebraic arithmetical means arithmetical progression ax² binomial cistern coefficient colog complex numbers courier cube root decimal point definition denominator difference digits divided division divisor dollars equivalent examples illustrate EXERCISES expansion exponent feet Find the value following expressions following method gallons geometrical means geometrical progression given equation harmonical mean illustrate the following infinite series integer less Let x stand logarithm mantissa of log monomial multinomial Multiplying negative number number of terms obtained parentheses partial fractions pipe positive integer positive number prime factor principle problem proportion quadratic equation quotient ratio remainder required number resulting number S₁ second term Simplify solution Solve the equation square root Substituting subtracted surd unknown number whence x²y x²y² xy²
Popular passages
Page 74 - 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 216 - ... 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 313 - 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 149 - The factor 5 is common to the numerator of the first fraction and the denominator of the second.
Page 324 - Progression (AP), is a series in which each term, after the first, is formed by adding a constant number to the preceding term. See § 1, Art.
Page 227 - Divide the first term of the remainder by three times the square of the first term of the root, and write the result as the next term of the root.
Page 62 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Page 179 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown numbers in the resulting equations of equal absolute value.
Page 376 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 317 - 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.