A University Algebra |
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Common terms and phrases
ALGEBRA arithmetical arithmetical means arithmetical progression binomial change sign compound interest constant cubic equation decimal degree DEM.-Let denominator difference differential coefficient dividend dividing division equa equal factors equal roots EXAMPLES exponent expression Extract the square figure Find the H. C. D. Find the number Find the sum formula function geometrical progression given equation gives greater Hence imaginary indeterminate infinitesimal integral values less letters logarithm mantissa minuend monomial multiplied negative notation nth term number of terms operation partial fractions polynomial positive Prob Prob.-To Prop Quadratic Equation quotient radical ratio real roots reduced represented scale of relation simple equation solution solve square root Sturm's method Sturm's Theorem substituted Subtracting SUG's terms containing tion unknown quantity variable whence write
Popular passages
Page 24 - 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 125 - ... the first is to the third as the difference between the first and second is to the difference between the second and third, the quantities a, b, c, are said to be in harmonical proportion.
Page 6 - 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.
Page 123 - One variable number is said to vary directly as a second and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Thus...
Page 19 - 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 131 - But, if we add the square of half the co-efficient of the second term to the first member to make it a complete square, we must add it to the second member to preserve the equality of the members.
Page 19 - ... the square of the second. In the second case, we have (a — &)2 = a2 — 2 ab + b2. (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 two, plus the square of the second.
Page 109 - 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.
Page 35 - A common divisor of two numbers is a divisor of their sum and also of their difference.
Page 19 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.