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 89
... equation , And we obtain Whence · ax + ay = an . x - by = c . ay + by = an ... equation involving but one , may be extended to three , four , or any number of ... new equation which would contain but one unknown quantity , and from which ...
... equation , And we obtain Whence · ax + ay = an . x - by = c . ay + by = an ... equation involving but one , may be extended to three , four , or any number of ... new equation which would contain but one unknown quantity , and from which ...
Σελίδα 90
... equations 55x + 77y = 473 , ) 55x + 45y = 345 , which may be substituted for the two proposed equations , and in which the co - efficients of x are the same . Subtracting , then , the second of these two equations from the first , there ...
... equations 55x + 77y = 473 , ) 55x + 45y = 345 , which may be substituted for the two proposed equations , and in which the co - efficients of x are the same . Subtracting , then , the second of these two equations from the first , there ...
Σελίδα 91
... equations ; in this way new equa tions are formed , which contain one unknown quantity less than the given equations , and upon which we operate as upon the proposed equations . Elimination by Comparison . 5x + 7y = 43 99. Take the same ...
... equations ; in this way new equa tions are formed , which contain one unknown quantity less than the given equations , and upon which we operate as upon the proposed equations . Elimination by Comparison . 5x + 7y = 43 99. Take the same ...
Σελίδα 92
... proposed equations . But there is an inconvenience in the two last methods ... equation Multiplying the second equation by 2 , a fac- tor of the co ... equations involving Resolution of Equations of the First Degree-Rule, 92-94.
... proposed equations . But there is an inconvenience in the two last methods ... equation Multiplying the second equation by 2 , a fac- tor of the co ... equations involving Resolution of Equations of the First Degree-Rule, 92-94.
Σελίδα 93
... new equations with the m - 2 others ; this will give m- -2 equations containing m - 2 unknown quantities . III . Continue this series of operations until a single equation con- taining but one unknown quantity is obtained , from which ...
... new equations with the m - 2 others ; this will give m- -2 equations containing m - 2 unknown quantities . III . Continue this series of operations until a single equation con- taining but one unknown quantity is obtained , from which ...
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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.