An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
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Σελίδα viii
... equa- tions , involving only one unknown quantity , II . Solution of problems producing simple equa- tions , involving more than one unknown quantity , 193 194 230 - 248 257 265 266 289 SECT . CHAPTER VI . On the Involution and ...
... equa- tions , involving only one unknown quantity , II . Solution of problems producing simple equa- tions , involving more than one unknown quantity , 193 194 230 - 248 257 265 266 289 SECT . CHAPTER VI . On the Involution and ...
Σελίδα x
... equa- tions , involving only one unknown quantity , II . Solution of problems producing quadratic equa- tions involving more than one unknown quantity , Page 382 389 395 404 413 419 CHAPTER XII . On the Binomial Theorem , 426 SECT . I ...
... equa- tions , involving only one unknown quantity , II . Solution of problems producing quadratic equa- tions involving more than one unknown quantity , Page 382 389 395 404 413 419 CHAPTER XII . On the Binomial Theorem , 426 SECT . I ...
Σελίδα 9
... equa- tion ; thus , a + b = c + d , means that the quantities a and b , are equal to the quantities c and d ; and this is called an equation ; it is divided into two members by the sign of equality , a + b is the first , and c + d , the ...
... equa- tion ; thus , a + b = c + d , means that the quantities a and b , are equal to the quantities c and d ; and this is called an equation ; it is divided into two members by the sign of equality , a + b is the first , and c + d , the ...
Σελίδα 168
... equa- tion vanish or equal to each other : Thus , in the Simple equation 3x - 9 + 6 = 0 ; the value of x must be such , that if substituted for it , both sides must vanish , because the right - hand side is 0 ; but this value is found ...
... equa- tion vanish or equal to each other : Thus , in the Simple equation 3x - 9 + 6 = 0 ; the value of x must be such , that if substituted for it , both sides must vanish , because the right - hand side is 0 ; but this value is found ...
Σελίδα 179
... equa- tions being independent of any hypothesis upon the nature and magnitude of quantities ; it follows , therefore , that the value of the unknown quantity substituted in the equation , will always reduce it to 0 = 0 , although it may ...
... equa- tions being independent of any hypothesis upon the nature and magnitude of quantities ; it follows , therefore , that the value of the unknown quantity substituted in the equation , will always reduce it to 0 = 0 , although it may ...
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