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 66
... sign + or which is written , is not the true sign of the term before which it is placed . Thus , if it were required to subtract —b from a , we should write a - ( - b ) = a + b 66 ALGEBRA . Greatest Common Divisor---Theory of, 66-71.
... sign + or which is written , is not the true sign of the term before which it is placed . Thus , if it were required to subtract —b from a , we should write a - ( - b ) = a + b 66 ALGEBRA . Greatest Common Divisor---Theory of, 66-71.
Σελίδα 67
... true sign of the second term of the binomial is plus , al- though its algebraic sign , which is written in the first member of the equation , is This minus sign , operating upon the sign of b , which is also negative , produces a plus ...
... true sign of the second term of the binomial is plus , al- though its algebraic sign , which is written in the first member of the equation , is This minus sign , operating upon the sign of b , which is also negative , produces a plus ...
Σελίδα 106
... 5 10 = 10 . Hence , -5 substituted for a verifies the equation , and therefore is the true answer . Now , the positive result which has been obtained , shows that the age of the father will be four times that of 106 ALGEBRA .
... 5 10 = 10 . Hence , -5 substituted for a verifies the equation , and therefore is the true answer . Now , the positive result which has been obtained , shows that the age of the father will be four times that of 106 ALGEBRA .
Σελίδα 113
... true answer to the enunciation . In the case , just considered , where m = n it will be perceived that there is not , properly speaking , any solution in finite and determinate numbers ; but the value of the unknown quantity is found to ...
... true answer to the enunciation . In the case , just considered , where m = n it will be perceived that there is not , properly speaking , any solution in finite and determinate numbers ; but the value of the unknown quantity is found to ...
Σελίδα 115
... true solution ; at least , it is certain that the equation does not admit of a solution in finite numbers , and this is all that we wish to prove . 2d . If we have a = = 0 , b = 0 , at the same time , the value of x takes the form x ...
... true solution ; at least , it is certain that the equation does not admit of a solution in finite numbers , and this is all that we wish to prove . 2d . If we have a = = 0 , b = 0 , at the same time , the value of x takes the form x ...
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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.