An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 58.
Σελίδα 12
... evident truth , or a propo- sition universally assented to , or which requires no formal proof . 45. As axioms are the first principles upon which all mathematical demonstrations are founded , I will point out those that are necessary ...
... evident truth , or a propo- sition universally assented to , or which requires no formal proof . 45. As axioms are the first principles upon which all mathematical demonstrations are founded , I will point out those that are necessary ...
Σελίδα 15
... evident that 5 ( A - α ) +3 ( A - a ) , or ( 5A - 5a ) + ( 3A - 3a ) = 8A - 8a ; and therefore the sum of the quantities -5a and -3a , when taken in their isolated state , will by a ne- cessary extension of the proposition be - Sa . A ...
... evident that 5 ( A - α ) +3 ( A - a ) , or ( 5A - 5a ) + ( 3A - 3a ) = 8A - 8a ; and therefore the sum of the quantities -5a and -3a , when taken in their isolated state , will by a ne- cessary extension of the proposition be - Sa . A ...
Σελίδα 25
... evident from the following consideration ; Thus , if it were required to sub- tract 6 from 9 , the difference is properly 9-6 , which is 3 ; and if 6-2 were subtracted from 9 , is plain , that the remainder would be greater by 2 , than ...
... evident from the following consideration ; Thus , if it were required to sub- tract 6 from 9 , the difference is properly 9-6 , which is 3 ; and if 6-2 were subtracted from 9 , is plain , that the remainder would be greater by 2 , than ...
Σελίδα 31
... evident , from the nature of multiplica- tion , that the product contains either of the factors as many times as the other contains an unit . There- fore , the product ab contains a as many times as contains an unit , that is , b times ...
... evident , from the nature of multiplica- tion , that the product contains either of the factors as many times as the other contains an unit . There- fore , the product ab contains a as many times as contains an unit , that is , b times ...
Σελίδα 44
... evident , from various instances , in the following part of the work . Ex . 16. Required the product of a + b + c by a b + c . Ans . a2 + 2ac — b2 + c2 . Ex . 17. Required the product of x + y + z by x - y - z . Ans . x - y - 2yz - 22 ...
... evident , from various instances , in the following part of the work . Ex . 16. Required the product of a + b + c by a b + c . Ans . a2 + 2ac — b2 + c2 . Ex . 17. Required the product of x + y + z by x - y - z . Ans . x - y - 2yz - 22 ...
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