New Elementary AlgebraLeach, Shewell & Sanborn, 1879 |
Outras edições - Ver tudo
New Elementary Algebra: In which the First Principles of Analysis are ... Benjamin Greenleaf Visualização integral - 1873 |
New Elementary Algebra: In which the First Principles of Analysis are ... Benjamin Greenleaf Visualização integral - 1864 |
Palavras e frases frequentes
a b c a² b² a² b³ algebraic quantities arithmetical arithmetical means binomial factors cents Clearing of fractions coefficient common difference completing the square cube root Define degree denote dividend division entire quantity equa Explain the operation Explain the solution expression Extract the square Find the greatest Find the least Find the product Find the sum find the values fractional form Given greatest common divisor indicated last term least common multiple letter lowest terms mixed quantity monomial Multiply negative exponents NOTE number of terms obtain operation of Example ounces parenthesis polynomial proportion quadratic equation quan quotient ratio Reduce remainder Repeat the Rule second member second operation simplest form solution of Problem Solve square root subtracted Theorem tion tity transposing unknown quantity Whence
Passagens conhecidas
Página 285 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 54 - 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.
Página 276 - ... that is, Any term of a geometric series is equal to the product of the first term, by the ratio raised to a power, whose exponent is one less than the number of terms. EXAMPLES. 1.
Página 266 - ... two triangles are to each other as the products of their bases by their altitudes.
Página 71 - The LEAST COMMON MULTIPLE, of two or more quantities is the least quantity that can be divided by each of them without a remainder. Define a Multiple. Define a Common Multiple of two or more quan.
Página 263 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Página 105 - If the same operations are performed upon equal quantities, the results will be equal. Hence, — Both members of an equation may be increased, diminished, multiplied, or divided by the same quantity, without destroying the equality.
Página 255 - 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...
Página 151 - To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent.
Página 322 - f- to find the values of x and y. (*Vf-2a;y=1295. > 9. Find two numbers such that their sum, their product, and the difference of their squares shall be equal to one another.