An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
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Σελίδα xi
... third and higher degrees . 452 453 460 1. Theory and transformation of equations , II . Resolution of cubic equations by the rule of CARDAN , or of SCIPIO FERREO , 462 470 III . Resolution of biquadratic equations by the method of DES ...
... third and higher degrees . 452 453 460 1. Theory and transformation of equations , II . Resolution of cubic equations by the rule of CARDAN , or of SCIPIO FERREO , 462 470 III . Resolution of biquadratic equations by the method of DES ...
Σελίδα 4
... third power , or cube of a , and is a × a × a ; a * , the fourth power of a , equal to a × a × a × a ; a5 , the fifth power of a , equal to a × a × a × a × a ; ( a + b ) , the third power of a + b , equal to ( a + b ) × ( a + b ) × ( a ...
... third power , or cube of a , and is a × a × a ; a * , the fourth power of a , equal to a × a × a × a ; a5 , the fifth power of a , equal to a × a × a × a × a ; ( a + b ) , the third power of a + b , equal to ( a + b ) × ( a + b ) × ( a ...
Σελίδα 7
... third to the fourth ; and any quantities , expressed by such numbers , are also pro- α portional ; thus , if ; then , a is to b as c to d . The abbreviation of the proportion ; a : b :: c : d ; and it is sometimes written a : b = c : d ...
... third to the fourth ; and any quantities , expressed by such numbers , are also pro- α portional ; thus , if ; then , a is to b as c to d . The abbreviation of the proportion ; a : b :: c : d ; and it is sometimes written a : b = c : d ...
Σελίδα 11
... third is two - thirds of the product of a and b . Re- quired the expression in algebraic writing , and its numerical value , where a = 4 , b = 3 , and c = 2 ? Ans . 176 , DEFINITIONS . 38. A proposition , is some truth advanced , which ...
... third is two - thirds of the product of a and b . Re- quired the expression in algebraic writing , and its numerical value , where a = 4 , b = 3 , and c = 2 ? Ans . 176 , DEFINITIONS . 38. A proposition , is some truth advanced , which ...
Σελίδα 18
... third column is found thus ; 3 + 1 + 9 + 7 + 1 + 4 = 25 , to which the sign — is prefixed , and the common letter b subjoined . So that the sum of all the quantities is expressed by 23 times x plus 26 times a minus 25 times b . Ex . 2 ...
... third column is found thus ; 3 + 1 + 9 + 7 + 1 + 4 = 25 , to which the sign — is prefixed , and the common letter b subjoined . So that the sum of all the quantities is expressed by 23 times x plus 26 times a minus 25 times b . Ex . 2 ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Treatise on Algebra: Theoretical and Practical James Ryan,Robert Adrain Πλήρης προβολή - 1824 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+ab+b² according added algebraic quantities arithmetical becomes binomial changing the signs coefficients common denominator completing the square compound quantity consequently cube root demonstrated difference divi divided dividend division equa equal exponent expression extracting the root factors find the values formula fourth fraction required greater greatest common divisor greatest common measure Hence improper fraction least common multiple less letter logarithm lowest terms lues magnitudes manner mixed quantity multiplied number of terms numbers or quantities observed operation positive prefixed Prob problem proper sign proportionals proposed equation quadratic quadratic equations quan quotient radical sign ratio Reduce remainder Required the square required to find result RULE shillings side simple equations square root substituting subtracted surd third tion tity transposition unity unknown quantity values of x whence whole number