Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted to the Courses of Mathematical Instruction in the U.S.Wiley and Long, 1835 - 353 σελίδες |
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Σελίδα 16
... known relations , the question is called a problem . The given or known quantities are generally represented by the first letters of the alphabet , a , b , c , d , & c . and the unknown or re- quired quantities by the last letters , x ...
... known relations , the question is called a problem . The given or known quantities are generally represented by the first letters of the alphabet , a , b , c , d , & c . and the unknown or re- quired quantities by the last letters , x ...
Σελίδα 17
... known , we would have the greater by adding 19 to it . This being the case , denote the least number by x : the greater may then be designated by x + 19 : hence their sum is x + x + 19 , or 2x + 19 . But from the enunciation , this sum ...
... known , we would have the greater by adding 19 to it . This being the case , denote the least number by x : the greater may then be designated by x + 19 : hence their sum is x + x + 19 , or 2x + 19 . But from the enunciation , this sum ...
Σελίδα 19
... known quantities , in order to obtain the values of those required by the question . The expressions 2 a b a b + and 2 2 obtained in this prob- lem , are called formulas , because they may be regarded as com- prehending the solutions of ...
... known quantities , in order to obtain the values of those required by the question . The expressions 2 a b a b + and 2 2 obtained in this prob- lem , are called formulas , because they may be regarded as com- prehending the solutions of ...
Σελίδα 31
... known a few results of frequent use in algebra . 1st . Let it be required to form the square or second power of the binomial , ( a + b ) . We have , from known principles , ( a + b ) 2 = ( a + b ) ( a + b ) = a2 + 2ab + b2 . That is ...
... known a few results of frequent use in algebra . 1st . Let it be required to form the square or second power of the binomial , ( a + b ) . We have , from known principles , ( a + b ) 2 = ( a + b ) ( a + b ) = a2 + 2ab + b2 . That is ...
Σελίδα 46
... known sign , and in this case , the quotient is presented under the form of a frac- tion , which we have already learned how to simplify ( Art . 51 ) . With respect to polynomial fractions , the following are cases which are easily ...
... known sign , and in this case , the quotient is presented under the form of a frac- tion , which we have already learned how to simplify ( Art . 51 ) . With respect to polynomial fractions , the following are cases which are easily ...
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Άλλες εκδόσεις - Προβολή όλων
Elements of Algebra: Translated from the French of M. Bourdon; Revised and ... Charles Davies Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Elements of Algebra: Translated From the French of M. Bourdon; Revised and ... Charles Davies Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
affected algebraic quantities arithmetical arithmetical means binomial co-efficient common factor contain contrary signs cube root decimal divide dividend division double product entire number enunciation equa equal equations involving example expression extract the square figure Find the greatest find the square find the values formula fourth fraction given number gives greater greatest common divisor greyhound Hence inequality irreducible fraction last term least common multiple less letter logarithm manner monomial multiplicand multiply necessary negative nth root number of terms number of units obtain operation ounces of silver perfect square performed preceding problem proposed equation proposed polynomials quotient radical reduced remainder result second degree second member second term square root substituted suppose take the equation tens third tion twice the product unity unknown quantity verified vulgar fraction whence whole number
Δημοφιλή αποσπάσματα
Σελίδα 152 - B, departed from different places at the same time, and travelled towards each other. On meeting, it appeared that A had travelled 18 miles more than B ; and that A could have gone B's journey in 1 5| days, but B would have been 28 days in performing A's journey How far did each travel ? Ans.
Σελίδα 96 - If A and B together can perform a piece of work in 8 days, A and c together in 9 days, and B and c in 10 days, how many days will it take each person to perform the same work alone.
Σελίδα 116 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Σελίδα 95 - A person bought a chaise, horse, and harness, • for £60 ; the horse came to twice the price of the harness, and the chaise to twice the price of the horse and harness ; what did he give for each?
Σελίδα 119 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 33 - ... the first term of the quotient ; multiply the• divisor by this term, and subtract the product from the dividend.
Σελίδα 70 - A fish was caught whose tail weighed 9Z6. ; his head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together : what was the weight of the fish?
Σελίδα 27 - That is, 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 246 - That is : The first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one.
Σελίδα 26 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.