New Elementary AlgebraR.S. Davis & Company, 1876 |
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Common terms and phrases
a² b² algebraic quantities arithmetical mean binomial factors cents Clearing of fractions coefficient common denominator common difference completing the square cube root Define degree denote Divide dividend division entire quantity equa equal Explain the operation Explain the solution Extract the square 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 number Required the square second member second operation simple equations solution of Problem square root subtraction Theorem tion tity transposing unknown quantity Whence
Popular passages
Page 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.
Page 105 - The quantity on the left of the sign of equality is called the first member, or side, and that on the right, the second member, or side, of the equation.
Page 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.
Page 294 - ... two triangles are to each other as the products of their bases by their altitudes.
Page 56 - 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.
Page 281 - ... if the circumference of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel, in the same distance ; required the circumference of each wheel.
Page 176 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Page 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.
Page 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.
Page 281 - Divide the number 24 into two such parts, that their product shall be to the sum of their squares, as 3 to 10.