A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 81
... determine how many men must be added to the former , that the whole number of them may just finish the wall in the time proposed , at the same rate of working ? Ans . 4 men to be added . 6. Determine how far 500 millions of guineas will ...
... determine how many men must be added to the former , that the whole number of them may just finish the wall in the time proposed , at the same rate of working ? Ans . 4 men to be added . 6. Determine how far 500 millions of guineas will ...
Page 137
... determine the product of a by ✓a ; by the rule given in ( Art . 62. ) a = = V - a x —a √ + a But √ + a2 = which a ought to true result is ta , so that there is apparently a doubt as to the sign with be affected , in order to answer ...
... determine the product of a by ✓a ; by the rule given in ( Art . 62. ) a = = V - a x —a √ + a But √ + a2 = which a ought to true result is ta , so that there is apparently a doubt as to the sign with be affected , in order to answer ...
Page 138
... determine the product of a by 6 , which according to the rule would be ab . To determine the true result , we must observe that , a ठ || . || Vā . V V5 . V And .. v = ax v = b = Vab . ( VI ) But , ( 11 ) 3 = Hence , v = ax V = 6 = Vab ...
... determine the product of a by 6 , which according to the rule would be ab . To determine the true result , we must observe that , a ठ || . || Vā . V V5 . V And .. v = ax v = b = Vab . ( VI ) But , ( 11 ) 3 = Hence , v = ax V = 6 = Vab ...
Page 145
... in the first place , let it be required to determine the square of x + a ; then , ( x + a ) 2 = ( x + a ) × ( x + a ) 2 = x2 + 2 xa + a by rules of multiplication . K Next let it be required to form the square of EXTRACTION OF ROOTS , 145.
... in the first place , let it be required to determine the square of x + a ; then , ( x + a ) 2 = ( x + a ) × ( x + a ) 2 = x2 + 2 xa + a by rules of multiplication . K Next let it be required to form the square of EXTRACTION OF ROOTS , 145.
Page 147
... determined ; let us also suppose the two polynomials P and R to be arranged according to the powers of some one of the ... determine the two first terms of the root sought ; for , 1o . The square of the first term of R must involve a ...
... determined ; let us also suppose the two polynomials P and R to be arranged according to the powers of some one of the ... determine the two first terms of the root sought ; for , 1o . The square of the first term of R must involve a ...
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Common terms and phrases
algebraic axis bisected called centre circle circumference coefficient contained Corol cosec cosine cube root curve decimal denominator denote 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 proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM unknown quantity VULGAR FRACTIONS whole number yards