A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 87
... monomial , or , a quantity of one term , or simply , a term . Thus , 3 a2 , 4 b2 , 6 c , are monomials . An algebraic expression , which is composed of several terms , separated from each other by the signs + or - is called generally a ...
... monomial , or , a quantity of one term , or simply , a term . Thus , 3 a2 , 4 b2 , 6 c , are monomials . An algebraic expression , which is composed of several terms , separated from each other by the signs + or - is called generally a ...
Page 92
... monomials is indicated by placing the sign -be- tween the quantity to be subtracted and that from which it is to be taken . Thus a — b signifies that the quantity denoted by b is to be subtracted from that denoted by a ; and if 2 x y is ...
... monomials is indicated by placing the sign -be- tween the quantity to be subtracted and that from which it is to be taken . Thus a — b signifies that the quantity denoted by b is to be subtracted from that denoted by a ; and if 2 x y is ...
Page 99
... monomials . ( 2 ) When the dividend is a polynomial , and the divisor a monomial . ( 3 ) When both dividend and divisor are polynomials . CASE I. 16. When both dividend and divisor are monomials G 2 DIVISION . 99 66 Division.
... monomials . ( 2 ) When the dividend is a polynomial , and the divisor a monomial . ( 3 ) When both dividend and divisor are polynomials . CASE I. 16. When both dividend and divisor are monomials G 2 DIVISION . 99 66 Division.
Page 100
... monomials . Write the divisor under the dividend , in the form of a fraction ; cancel like quantities in both divisor and dividend , and suppress the greatest factor com- mon to the two coefficients . 17. Powers of the same quantity are ...
... monomials . Write the divisor under the dividend , in the form of a fraction ; cancel like quantities in both divisor and dividend , and suppress the greatest factor com- mon to the two coefficients . 17. Powers of the same quantity are ...
Page 101
... monomial . Divide each of the terms of the dividend separately by the divisor , and con- nect the quotients with their respective signs . - EXAMPLES . ( 1. ) Divide 6a2 x1 yб . 12a3 x3 y6 + 15a1 x5 y3 by 3a2 x2 y2 . 6a2 x4 y — 12a3 x3 ...
... monomial . Divide each of the terms of the dividend separately by the divisor , and con- nect the quotients with their respective signs . - EXAMPLES . ( 1. ) Divide 6a2 x1 yб . 12a3 x3 y6 + 15a1 x5 y3 by 3a2 x2 y2 . 6a2 x4 y — 12a3 x3 ...
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axis become x becomes bisected called centre chord circle circumference co-ordinates Corol cosec cosine curve decimal denominator determine diameter difference differential co-efficient distance Divide divisor draw dx dy dy dx equal EXAMPLES expression feet figure formula fraction function greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial multiplied negative nth root opposite P₁ parallel parallelogram perpendicular polynomial positive Prob problem Prop proportional quotient radius ratio rectangle remaining right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM triangle ABC unknown quantity whence whole number yards