Secondary Algebra |
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Common terms and phrases
a₁ a²b a²b² a²x a³b a³b³ ab² ab³ arithmetical arithmetical means ax² binomial cistern coefficient contains convergent cube root decimal denominator difference digits divided division divisor equivalent examples illustrate EXERCISES exponent factors feet Find the value finite number following expressions following method fraction gallons geometrical progression given equation given series greater harmonical mean illustrate the following infinite series integer less Let x stand logarithm mantissa means miles monomial multinomial Multiplying negative number obtained parentheses partial fractions permutations pipe positive integer positive number principle problem proportion quadratic equation quotient radicand ratio remainder resulting number second member second term solution Solve the equation square root Substituting subtracted surd trinomial type-form units unknown number whence x²y x²y² xy² yards
Popular passages
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 72 - 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 324 - C„.r. That is, the number of combinations of n dissimilar things r at a time is equal to the number of combinations of the n things n — r at a time.
Page 173 - 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 321 - We will now derive a formula for the number of permutations of n things, taken all at a time, when some of them are alike.
Page 145 - The factor 5 is common to the numerator of the first fraction and the denominator of the second.
Page 210 - ... 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 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 215 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Page 385 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.