The elements of algebra1857 |
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... Binomial Theorem 180 Exponential Theorem 193 Multinomial Theorem 194 Evolution of Surds . 199 Indeterminate Coefficients . 206 Continued Fractions 220 PAGE Indeterminate Equations and Unlimited Problems 230 Scales of Notation.
... Binomial Theorem 180 Exponential Theorem 193 Multinomial Theorem 194 Evolution of Surds . 199 Indeterminate Coefficients . 206 Continued Fractions 220 PAGE Indeterminate Equations and Unlimited Problems 230 Scales of Notation.
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... Binomial Theorem 180 Exponential Theorem 193 Multinomial Theorem 194 Evolution of Surds . 199 Indeterminate Coefficients . 206 Continued Fractions 220 Indeterminate Equations and Unlimited Problems . Scales of Notation . VULGAR FRACTIONS.
... Binomial Theorem 180 Exponential Theorem 193 Multinomial Theorem 194 Evolution of Surds . 199 Indeterminate Coefficients . 206 Continued Fractions 220 Indeterminate Equations and Unlimited Problems . Scales of Notation . VULGAR FRACTIONS.
Page 33
... binomial is a quantity consisting of two terms , as a + b , or 2a - 3bx . A trinomial is a quantity consisting of three terms , as 2a + bd - 3c . A polynomial or multinomial is a quantity consisting of many terms , as a + b + cx2 + dx2 ...
... binomial is a quantity consisting of two terms , as a + b , or 2a - 3bx . A trinomial is a quantity consisting of three terms , as 2a + bd - 3c . A polynomial or multinomial is a quantity consisting of many terms , as a + b + cx2 + dx2 ...
Page 70
... binomial , and thereby the operation be much abridged . Thus ( a + b + c ) = ( a + b + c ) 3 , = a2 + ( b + c ) 2 + 2a ( b + c ) , = a + b2 + c2 + 2bc + 2ab + 2ac . ( a + b + c ) = ( a + b + c ) 3 , = ( a + b ) 3 + 3 ( a + b ) 23c + 3 ...
... binomial , and thereby the operation be much abridged . Thus ( a + b + c ) = ( a + b + c ) 3 , = a2 + ( b + c ) 2 + 2a ( b + c ) , = a + b2 + c2 + 2bc + 2ab + 2ac . ( a + b + c ) = ( a + b + c ) 3 , = ( a + b ) 3 + 3 ( a + b ) 23c + 3 ...
Page 75
... binomial , as a + b , be re- and therefore √a + b = √ax√1 + ( Art . 149 ) ; quired ; since a + b = a ( 1 + · b we have by the last Example , putting in the place of x , a b b 1+ = 1+ a b 62 + & c . 2a 8a2 .. √a + b = a + b b3 + & c ...
... binomial , as a + b , be re- and therefore √a + b = √ax√1 + ( Art . 149 ) ; quired ; since a + b = a ( 1 + · b we have by the last Example , putting in the place of x , a b b 1+ = 1+ a b 62 + & c . 2a 8a2 .. √a + b = a + b b3 + & c ...
Common terms and phrases
algebraical quantities annuity Arithmetical Progression Binomial Theorem coefficient common denominator Comp contain continued fraction convergent cube root denary difference digits divided divisible divisor Edition equal equation EXERCISES expressed Extract the square factors Find the G.C.M. find the number Find the square find the sum Find the value given greater Greatest Common Measure Hence hour latter Least Common Multiple less lowest terms miles Mult multiplied N₁ negative nth root number of combinations number of terms numerator and denominator positive integers Post 8vo Present Value prime number proportion proposed quantities prove quadratic quadratic equation quotient radix ratio reduced remainder represented rule scale shew shillings square root ST JOHN'S COLLEGE subtracted suppose surd unknown quantities vols vulgar fraction whole number Woodcuts
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