Elements of Algebra: For Colleges, Schools, and Private Students, Βιβλίο 2Wilson, Hinkle & Company, 1866 - 406 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 89.
Σελίδα viii
... numbers , Ex . 19 Circulating Decimals - To find the value of . HARMONICAL PROGRESSION - Proposition Problems in Arithmetical and Geometrical Progression • IX . PERMUTATIONS - COMBINATIONS - BINOMIAL PERMUTATIONS COMBINATIONS THEOREM ...
... numbers , Ex . 19 Circulating Decimals - To find the value of . HARMONICAL PROGRESSION - Proposition Problems in Arithmetical and Geometrical Progression • IX . PERMUTATIONS - COMBINATIONS - BINOMIAL PERMUTATIONS COMBINATIONS THEOREM ...
Σελίδα 17
... find the numerical value in each , supposing a = 2 , b = 3 , c = 4 , x = 5 , y = 6 . 2d Bk . 2 1.7b + x - y . 2. a1by - 3x2 DEFINITIONS . 17.
... find the numerical value in each , supposing a = 2 , b = 3 , c = 4 , x = 5 , y = 6 . 2d Bk . 2 1.7b + x - y . 2. a1by - 3x2 DEFINITIONS . 17.
Σελίδα 18
... value of n ( n - 1 ) ( n − 2 ) ( n − 3 ) , when n = -4 , and when n = 10 ? Ans . 24 and 5040 . 12. Find the difference between 6abc - 2ab , and 6abc ÷ 2ab , Ans 492 . when a , b , c , are 3 , 5 , and 6 respectively . 13. Find the value ...
... value of n ( n - 1 ) ( n − 2 ) ( n − 3 ) , when n = -4 , and when n = 10 ? Ans . 24 and 5040 . 12. Find the difference between 6abc - 2ab , and 6abc ÷ 2ab , Ans 492 . when a , b , c , are 3 , 5 , and 6 respectively . 13. Find the value ...
Σελίδα 44
... value of the fraction , ( RAY'S ARITHMETIC , 3d Book , Art . 136 ) , divide ... equal to the same quantity with the sign of its exponent changed . EXAMPLES ... find by a2 , and apply the rule for the exponents a2 a2 = a2 = 2 = ao ; but ...
... value of the fraction , ( RAY'S ARITHMETIC , 3d Book , Art . 136 ) , divide ... equal to the same quantity with the sign of its exponent changed . EXAMPLES ... find by a2 , and apply the rule for the exponents a2 a2 = a2 = 2 = ao ; but ...
Σελίδα 66
... value , to another whose denominator shall be mnr . To effect this , we must ... Find the L.C.M. of all the denominators ; this will be the common ... find each of the other numerators . Reduce the fractions , in each of the following ...
... value , to another whose denominator shall be mnr . To effect this , we must ... Find the L.C.M. of all the denominators ; this will be the common ... find each of the other numerators . Reduce the fractions , in each of the following ...
Περιεχόμενα
24 | |
37 | |
43 | |
51 | |
57 | |
62 | |
68 | |
74 | |
198 | |
213 | |
220 | |
265 | |
274 | |
280 | |
298 | |
309 | |
83 | |
89 | |
103 | |
111 | |
127 | |
142 | |
158 | |
167 | |
169 | |
176 | |
186 | |
315 | |
352 | |
357 | |
364 | |
370 | |
372 | |
377 | |
384 | |
386 | |
395 | |
404 | |
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.