An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
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Σελίδα 1
... less than b , that the quantity a is less than the quantity b . 4. Addition is the joining of magnitudes into one sum . The sign of addition is an erect cross ; thus , a + b implies the sum of a and b , and is called a plus b , if a ...
... less than b , that the quantity a is less than the quantity b . 4. Addition is the joining of magnitudes into one sum . The sign of addition is an erect cross ; thus , a + b implies the sum of a and b , and is called a plus b , if a ...
Σελίδα 10
... less than ; then , b + a -x is < b . In the first place , let a = 10 , x = 6 , and b = 8 ; then b + a - x = 8 + 10-6 , which is > 8 ; since 10 -6 = 4 , a positive quantity ; therefore , a - x is posi- tive . Next , let a = 12 , 14 , and ...
... less than ; then , b + a -x is < b . In the first place , let a = 10 , x = 6 , and b = 8 ; then b + a - x = 8 + 10-6 , which is > 8 ; since 10 -6 = 4 , a positive quantity ; therefore , a - x is posi- tive . Next , let a = 12 , 14 , and ...
Σελίδα 15
... less than the sum of the negative ones , the aggregate or sum of the quantities 4a - 2a + 2a - 2a , or 6a - 4a , will be + 2a ; since the sum of the positive terms is greater than the sum of the negative ones . And the sum of the ...
... less than the sum of the negative ones , the aggregate or sum of the quantities 4a - 2a + 2a - 2a , or 6a - 4a , will be + 2a ; since the sum of the positive terms is greater than the sum of the negative ones . And the sum of the ...
Σελίδα 16
... less quantity must be taken from the greater , in order to obtain the incorporated mass , and the sign of the greater prefixed to the result . So that if 6a is to be added to 4 ( A - α ) , or to 4A - 4a , the result will evidently be 4a ...
... less quantity must be taken from the greater , in order to obtain the incorporated mass , and the sign of the greater prefixed to the result . So that if 6a is to be added to 4 ( A - α ) , or to 4A - 4a , the result will evidently be 4a ...
Σελίδα 25
... less than b by c that if b be only taken away , too much will have been deducted by the quantity c ; and therefore c must be added to the result to make it correct . it This will appear more evident from the following consideration ...
... less than b by c that if b be only taken away , too much will have been deducted by the quantity c ; and therefore c must be added to the result to make it correct . it This will appear more evident from the following consideration ...
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