Secondary AlgebraMacmillian Company, 1900 - 442 páginas |
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Términos y frases comunes
a₁ a²b a²b² ab² ab³ absolutely convergent algebraic arithmetical arithmetical means ascending powers ax² binomial cistern coefficients colog cologarithm convergent series courier decimal point denominator difference digits divergent series divided divisor dollars equal examples illustrate EXERCISES exponent figure Find the value finite number following expressions gallons geometrical progression given equation given series greater harmonical mean illustrate the following increases indefinitely infinite series integer integral less logarithm mantissa of log miles monomial multinomial Multiplying negative number nth term number of combinations obtained parentheses partial fractions permutations positive integer positive number principle problem quadratic equation quotient radicand ratio remainder S₁ second term series is convergent solution Solve the equation square root subtracted surd unknown number variable whence x²y x²y² yards
Pasajes populares
Página 314 - 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.
Página 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.
Página 352 - 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.
Página 349 - 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.
Página 214 - ... 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.
Página 311 - 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...
Página 315 - 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.
Página 177 - 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.
Página 93 - 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...
Página 332 - Evidently the sum can be made to differ from 2 by as little as we please, by taking a sufficient number of terms.