A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 127
... negative sign , the extraction of its square root is impossible , since we have just seen that the square of every quantity , whether positive or negative , is essentially positive . Thus , V9 , Aa · √ — 5 , are algebraic symbols which ...
... negative sign , the extraction of its square root is impossible , since we have just seen that the square of every quantity , whether positive or negative , is essentially positive . Thus , V9 , Aa · √ — 5 , are algebraic symbols which ...
Page 136
... negative monomial is an impos- sible root . For no quantity can be found which , when raised to an even power , can give a negative result . Thus a , c , ... are symbols of opera- tions which cannot be performed , and are called ...
... negative monomial is an impos- sible root . For no quantity can be found which , when raised to an even power , can give a negative result . Thus a , c , ... are symbols of opera- tions which cannot be performed , and are called ...
Page 138
... NEGATIVE EXPONENTS . 67. This is the proper place to explain a species of notation which is found extremely useful in algebraic calculations . We I. Let it be required to extract the nth root of a quantity such as am . have seen by ...
... NEGATIVE EXPONENTS . 67. This is the proper place to explain a species of notation which is found extremely useful in algebraic calculations . We I. Let it be required to extract the nth root of a quantity such as am . have seen by ...
Page 139
... negative and fractional exponent . Let it be required to extract the nt root of 1 am In the first place , Ham ; hence n am am = a = a substitut- ing the fractional exponent for the ordinary sign of the radical . m As in words , a is ...
... negative and fractional exponent . Let it be required to extract the nt root of 1 am In the first place , Ham ; hence n am am = a = a substitut- ing the fractional exponent for the ordinary sign of the radical . m As in words , a is ...
Page 142
... negative . 73. Hence we have the following general RULE FOR RAISING A MONOMIAL TO ANY POWER Multiply the exponent of the monomial by the exponent of the power required , whatever may be the nature of the exponents . This is the same ...
... negative . 73. Hence we have the following general RULE FOR RAISING A MONOMIAL TO ANY POWER Multiply the exponent of the monomial by the exponent of the power required , whatever may be the nature of the exponents . This is the same ...
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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