A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 87
... expression . Thus 3 a is the algebraic expression for three times the number a ; 5 a2 is the algebraic expression for five times the square of the number a ; 7 a5 b3 is the algebraic expression for seven times the fifth power of a ...
... expression . Thus 3 a is the algebraic expression for three times the number a ; 5 a2 is the algebraic expression for five times the square of the number a ; 7 a5 b3 is the algebraic expression for seven times the fifth power of a ...
Page 90
... expression , as will be explained in the rule of Division . When several polynomials , containing both similar and dissimilar quantities , are to be collected into one polynomial , the process of addition will be much facilitated by ...
... expression , as will be explained in the rule of Division . When several polynomials , containing both similar and dissimilar quantities , are to be collected into one polynomial , the process of addition will be much facilitated by ...
Page 106
... expression n3 + 2n2 + n into factors Here n3 + 2n2 + n = n ( n2 + 2n + 1 ) = n ( n + 1 ) ( n + 1 ) by ( 6 ) = n ( n + 1 ) 2 . ( 3. ) Decompose the expression x2 - x - 72 into two factors . - - By inspecting formula ( 3 ) we have — 1 ...
... expression n3 + 2n2 + n into factors Here n3 + 2n2 + n = n ( n2 + 2n + 1 ) = n ( n + 1 ) ( n + 1 ) by ( 6 ) = n ( n + 1 ) 2 . ( 3. ) Decompose the expression x2 - x - 72 into two factors . - - By inspecting formula ( 3 ) we have — 1 ...
Page 126
... expression is that quantity which , when multiplied by itself , will produce the proposed expression . Thus the square root of a 2 is a , because a , when multiplied by itself , produces a 2 ; the square root of ( a + b ) is a + b ...
... expression is that quantity which , when multiplied by itself , will produce the proposed expression . Thus the square root of a 2 is a , because a , when multiplied by itself , produces a 2 ; the square root of ( a + b ) is a + b ...
Page 127
... expression , we have , ( Vabcd- . - ) 2 = a b c d - · Again , 2 ( √ā x võ × √ ̃ × √π - - - ) 2 = ( √ @ ) a × ( √ ̄ ) a × ( √ ‹ Ja × ( √ π ) 2 a = a b c d · Hence , since the squares of the quantities √a b c d ----- and vā . Vī ...
... expression , we have , ( Vabcd- . - ) 2 = a b c d - · Again , 2 ( √ā x võ × √ ̃ × √π - - - ) 2 = ( √ @ ) a × ( √ ̄ ) a × ( √ ‹ Ja × ( √ π ) 2 a = a b c d · Hence , since the squares of the quantities √a b c d ----- and vā . Vī ...
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Common terms and phrases
algebraic axis bisected centre chord ciphers circle circumference co-ordinates coefficient contained Corol cosec cosine cube root curve decimal denominator denotes diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial Multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob PROBLEM Prop proportional quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line substitute subtract tangent THEOREM unknown quantity VULGAR FRACTIONS whole number yards