A University AlgebraSheldon & Company, 1878 |
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ALGEBRA arithmetical arithmetical means Arithmetical Progression binomial change sign common divisor common factors cube root decimal DEM.-Let DEM.-The denominator difference differential coefficient Divide dividend division equal factors equal roots EXAMPLES exponent expression Extract the square figure Find the H. C. D. formula function geometrical progression gives greater Hence Horner's method imaginary increment infinitesimal Least Common Multiple less letters logarithm mantissa minuend monomial multiplied negative notation number of terms operation partial fractions polynomial Prob Prob.-To Prop q equal Quadratic Equation quotient RADICAL SIGN ratio real roots Reduce remainder represented SCH.-The signs changed simple equations solution solve square root Sturm's method Sturm's Theorem substituted subtract SUG's term containing tion True Divisor 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 - A Positive Integral Exponent signifies that the number affected by it is to be taken as a factor as many times as there are units in the exponent. It is a kind of symbol of multiplication.
Σελίδα 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...
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 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 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 35 - A common divisor of two numbers is a divisor of their sum and also of their difference.
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 multiplied by the second, plus the square of the second.