New Elementary Algebra: Designed for the Use of High Schools and AcademiesR.S. Davis & Company, 1883 |
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Συχνά εμφανιζόμενοι όροι και φράσεις
a b c a² b² algebraic quantities arithmetical arithmetical means binomial factors cents Clearing of fractions coefficient common difference completing the square cube root Define degree dividend division entire quantity equa equations containing 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 ounces parenthesis polynomial proportion quadratic equation quan quotient ratio Reduce remainder Repeat the Rule second member second operation simple equations simplest form solution of Problem Solve square root subtracted Theorem third tion tity transposing unknown quantity Whence
Δημοφιλή αποσπάσματα
Σελίδα 95 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Σελίδα 169 - Find the greatest square in the left period, and place its root on the right, after the manner of a quotient in division. Subtract the square of the root from the left period, and to the remainder bring down the next period for a dividend.
Σελίδα 178 - From these examples is deduced the following RULE. Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Σελίδα 293 - To find any power of a given number, multiply the logarithm of the number by the exponent of the power. The product is the logarithm of the power.
Σελίδα 54 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, 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.
Σελίδα 51 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 257 - Divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5. Ans. 20 and 40.
Σελίδα 268 - ... two triangles are to each other as the products of their bases by their altitudes.
Σελίδα 154 - Hence, for raising a monomial to any power, we have the following RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Σελίδα 133 - RULE. Find an expression for the value of the same unknown quantity in each of the equations, and form a new equation, by placing these values equal to each other.