New Elementary Algebra: In which the First Principles of Analysis are Progressively Developed and Simplified : for Common Schools and AcademiesRobert S. Davis & Company, 1864 - 324 σελίδες |
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a b c a² b² a² b³ algebraic quantities arithmetical mean binomial factors cents Clearing of fractions coefficient common denominator common difference complete the square cube root Define denote Divide dividend division entire quantity equa Explain the operation Explain the solution Extract the square Find the greatest Find the sum find the values formulas fractional exponent geometrical progression Given x² greatest common divisor indicated last term least common multiple letter lowest terms miles monomial Multiply negative exponents NOTE number of terms obtain perfect square polynomial positive proportion quadratic equation quadratic form quan quotient radical sign ratio Reduce remainder Repeat the Rule Required the square second member second operation simple equations solution of Problem square root subtraction Theorem tion tity transposing unknown quantity Whence
Δημοφιλή αποσπάσματα
Σελίδα 55 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Σελίδα 183 - Find the greatest square in the first- period on the left, and place its root on the right after the manner of a quotient in division. Subtract the square of the root from the first period, and to the remainder bring down the second period for a dividend.
Σελίδα 305 - ... 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.
Σελίδα 73 - 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.
Σελίδα 291 - 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.
Σελίδα 46 - The exponent of a letter in the quotient is equal to its exponent in the dividend, minus its exponent in the divisor. 439. Let it be required to divide a* by a1.
Σελίδα 294 - ... two triangles are to each other as the products of their bases by their altitudes.
Σελίδα 53 - 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 213 - I. Divide the coefficient of the dividend by the coefficient of the divisor.
Σελίδα 298 - After the same method of reasoning, we infer that the sum of any two terms equidistant from the extremes is equal to the sum of the extremes.