A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 83
... polynomial . A polynomial , consisting of two terms only , is usually called a binomial , when consisting of three terms a trinomial . Thus , ab , 3 bc - x z , are bino- -- mials , and a + b 5. The numerical value of an algebraic ...
... polynomial . A polynomial , consisting of two terms only , is usually called a binomial , when consisting of three terms a trinomial . Thus , ab , 3 bc - x z , are bino- -- mials , and a + b 5. The numerical value of an algebraic ...
Page 84
... polynomial undergoes no change , however we may transpose the order of the terms , provided we preserve the proper sign of each . Thus the polynomials 4 a 3ab + 5 ac2 , 4 a3 + 5 ac2 3a2 b , 5 ac2 3ab4a , have all the same numerical ...
... polynomial undergoes no change , however we may transpose the order of the terms , provided we preserve the proper sign of each . Thus the polynomials 4 a 3ab + 5 ac2 , 4 a3 + 5 ac2 3a2 b , 5 ac2 3ab4a , have all the same numerical ...
Page 85
... polynomials : Ex . 1. 16 a b c + 5 a b3 c + 7 a3 b c 10 a b c3 7 a b c -4abc- 6 a b c + 2 a b c3 , Ex . 2 . - - which becomes on reduction 2 - 2 abc ' + ab'c - 4m - 4 m n 12 pcr + 16 m2 n2 ā c + 4 p3 cr + 3c + 7gh ā 17 pāc 12 m2 n 2 ...
... polynomials : Ex . 1. 16 a b c + 5 a b3 c + 7 a3 b c 10 a b c3 7 a b c -4abc- 6 a b c + 2 a b c3 , Ex . 2 . - - which becomes on reduction 2 - 2 abc ' + ab'c - 4m - 4 m n 12 pcr + 16 m2 n2 ā c + 4 p3 cr + 3c + 7gh ā 17 pāc 12 m2 n 2 ...
Page 86
... polynomials such as 2a + c2 + 3 bd , 5 a + 6 c2 + mn , 7 a + 3 m n + 2 b d , the result sought must consist of the sum of ... polynomial with a term whose sign is + . In the addition of complicated algebraic quantities , the process of ...
... polynomials such as 2a + c2 + 3 bd , 5 a + 6 c2 + mn , 7 a + 3 m n + 2 b d , the result sought must consist of the sum of ... polynomial with a term whose sign is + . In the addition of complicated algebraic quantities , the process of ...
Page 88
... polynomial to be subtracted contains several terms affected with the sign From what has been said above , we may ... polynomial , without actually performing the operation . This is effected by en- closing the polynomial to be subtracted ...
... polynomial to be subtracted contains several terms affected with the sign From what has been said above , we may ... polynomial , without actually performing the operation . This is effected by en- closing the polynomial to be subtracted ...
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Common terms and phrases
algebraic ALGEBRAIC QUANTITIES altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw dy dx equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards