A University Algebra ...Sheldon, 1873 - 323 σελίδες |
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
arithmetical arithmetical progression binomial change sign common divisor common factors compound interest constant cubic equation decimal degree DEM.-Let DEM.-The 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 formula function geometrical progression given equation gives greater Hence Horner's method imaginary indeterminate infinitesimal integral values less letters logarithm mantissa monomial multiplied negative nth term number of terms operation partial fractions polynomial Prob Prob.-To Prop Quadratic Equation quotient ratio real roots reduced remainder represented scale of relation simple equation solution solve square root Sturm's method Sturm's Theorem substituted Subtracting SUG's term containing tion unknown quantity variable whence write
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 28 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Thu4, 18 is the greatest, common divisor of 36 and 54, since it is the greatest number that will divide each of them without a remainder.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 59 - 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.
Σελίδα 19 - MULTIPLY EACH TERM OF THE MULTIPLICAND BY EACH TERM OF THE MULTIPLIER, AND ADD THE PRODUCTS.