A University Algebra: Comprising a Compendious, Yet Complete and Thorough Course in Elementary Algebra, and an Advanced Course in Algebra Sufficiently Extended to Meet the Wants of Our Universities, Colleges, and Schools of ScienceSheldon & Company, 1882 - 323 σελίδες |
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ALGEBRA arithmetical arithmetical means arithmetical progression binomial Binomial Formula common divisor common factors constant cube root decimal DEM.-Let DEM.-The denominator differential coefficient Divide dividend division equal factors equal roots EXAMPLES exponent expression Extract the square Find the H. C. D. Find the sum formula function geometrical progression given gives greater Hence imaginary increment infinitesimal Least Common Multiple less letters logarithm mantissa method minuend monomial multiplied notation nth term number of terms operation partial fractions polynomial Prob Prob.-To Prop proportion q equal Quadratic Equation quotient RADICAL SIGN ratio real roots Reduce remainder represented result scale of relation SCH.-The signs changed simple equations solution solve square root Sturm's Theorem substituted subtract SUG's tion True Divisor unknown quantity variable whence write
Δημοφιλή αποσπάσματα
Σελίδα 26 - 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 127 - ... 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 8 - 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 30 - 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 21 - 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 21 - ... 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 125 - 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 37 - A common divisor of two numbers is a divisor of their sum and also of their difference.
Σελίδα 158 - COR. — The differential of a fraction having a constant numerator and a, variable denominator is the product of the numerator with its sign changed into the differential of the denominator, divided by the square of the denominator. Let...