Elements of Algebra: For Colleges, Schools, and Private Students, Βιβλίο 2Wilson, Hinkle & Company, 1866 - 406 σελίδες |
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Σελίδα iv
... Theorem , and of Logarithms , all of which are so useful in other branches of Mathematics . On some subjects it was necessary to be brief , to bring the work within suitable limits . For example , what is here given of the Theory of ...
... Theorem , and of Logarithms , all of which are so useful in other branches of Mathematics . On some subjects it was necessary to be brief , to bring the work within suitable limits . For example , what is here given of the Theory of ...
Σελίδα v
... THEOREMS , FACTORING , ETC. ALGEBRAIC THEOREMS - Square of the sum of two quantities . Square of the difference of two quantities Product of Sum and Difference Transfer of factors in a fraction . • Any quantity whose exponent is 0 is ...
... THEOREMS , FACTORING , ETC. ALGEBRAIC THEOREMS - Square of the sum of two quantities . Square of the difference of two quantities Product of Sum and Difference Transfer of factors in a fraction . • Any quantity whose exponent is 0 is ...
Σελίδα vi
... Theorems in Fractions - Miscellaneous exercises . IV . - SIMPLE EQUATIONS . 129-130 131-132 133 134 • • 135-137 138-139 · . Definitions and Elementary principles 140-149 · • Transposition - Clearing of Fractions . 150-151 • Solution of ...
... Theorems in Fractions - Miscellaneous exercises . IV . - SIMPLE EQUATIONS . 129-130 131-132 133 134 • • 135-137 138-139 · . Definitions and Elementary principles 140-149 · • Transposition - Clearing of Fractions . 150-151 • Solution of ...
Σελίδα vii
... Theorem Approximate Square Roots Square Root of Monomials - Of Polynomials CUBE ROOT of Numbers - Approximate Cube ... Theorems - Square Root of A ± √ B 241 Varieties of Trinomials - Form of Fourth Degree Simultaneous Quadratic ...
... Theorem Approximate Square Roots Square Root of Monomials - Of Polynomials CUBE ROOT of Numbers - Approximate Cube ... Theorems - Square Root of A ± √ B 241 Varieties of Trinomials - Form of Fourth Degree Simultaneous Quadratic ...
Σελίδα viii
... THEOREM . 305-307 • 308-309 BINOMIAL THEOREM when the Exponent is a Positive Integer Binomial viii CONTENTS .
... THEOREM . 305-307 • 308-309 BINOMIAL THEOREM when the Exponent is a Positive Integer Binomial viii CONTENTS .
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
2d Bk algebraic ALGEBRAIC QUANTITIES arithmetical progression binomial Binomial Theorem coefficient common divisor Completing the square Corollary cube root decimal degree denominator derived polynomial Divide dividend division equa equal roots equation containing equation whose roots evident example exponent Extract the square factors Find the cube find the number Find the square Find the sum find the value geometrical progression given equation given number gives greater greatest common divisor Hence imaginary inequality less letters logarithms method minus monomial Multiply negative roots nth root number of balls number of terms perfect square positive root preceding Proposition quadratic equation quotient ratio real roots reduced remainder Required the number required to find result second term solved square root Sturm's theorem substituted subtracted taken Theorem third tion transform transposing trinomial unity unknown quantity Whence whole number X₁
Δημοφιλή αποσπάσματα
Σελίδα 136 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 289 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of
Σελίδα 35 - Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike signs give minus.
Σελίδα 39 - 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 148 - ... by the last figure of the root, and subtract the product from the dividend ; to the remainder bring down the next period for a new dividend.
Σελίδα 187 - CD, and, on meeting, it appeared that A had traveled 18 miles more than B ; and that A could have gone B's journey in 15 £ days, but B would have been 28 days in performing A's journey.
Σελίδα 68 - Reduce the fractions to a common denominator ; then subtract the numerator of the subtrahend from the numerator of the minuend, and write the result over the common denominator. EXAMPLES. H ,_, Zx . ^ 3x 1. From -^- subtract — . oo . Eeducing to a common denominator, the fractions become Wx 9x "15...
Σελίδα 37 - Since, in multiplying a polynomial by a monomial, we multiply each term of the multiplicand by the multiplier ; therefore, we have the following RULE, FOR DIVIDING A POLYNOMIAL BY A MONOMIAL. Divide each term of the dividend, by the divisor, according to the rule for the division of monomials.
Σελίδα 236 - In any proportion the product of the means is equal to the product of the extremes.
Σελίδα 43 - 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.