A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 62
... similar reason , a number is divided into periods of n figures , when the nth root is to be extracted . The truth of this rule will be obvious from the composition of the algebraic expression for the cube of a binomial . Thus ( a + b ) ...
... similar reason , a number is divided into periods of n figures , when the nth root is to be extracted . The truth of this rule will be obvious from the composition of the algebraic expression for the cube of a binomial . Thus ( a + b ) ...
Page 79
... similar operations ; alsor and their errors , or the differences between the results A and B from the true result N ; and let a denote the number sought , answering to the true result N of the question . rb - sa r - s Then , is NA = r ...
... similar operations ; alsor and their errors , or the differences between the results A and B from the true result N ; and let a denote the number sought , answering to the true result N of the question . rb - sa r - s Then , is NA = r ...
Page 88
... similar terms . Thus , 7 ab and 3 a b are similar terms , so are 6 a2c and 7 a2 c ; also , 10 a b3 c1 d and 2 a b3 c1 d ; for they are composed of the same letters , and these letters in each are affected with the same exponents . On ...
... similar terms . Thus , 7 ab and 3 a b are similar terms , so are 6 a2c and 7 a2 c ; also , 10 a b3 c1 d and 2 a b3 c1 d ; for they are composed of the same letters , and these letters in each are affected with the same exponents . On ...
Page 89
... similar , and have different signs . Collect into one sum the coefficients affected with the sign + , and also those affected with the sign — ; to the difference of these sums affix the common literal quantity , and prefix the sign + or ...
... similar , and have different signs . Collect into one sum the coefficients affected with the sign + , and also those affected with the sign — ; to the difference of these sums affix the common literal quantity , and prefix the sign + or ...
Page 90
... similar and dissimilar quantities , are to be collected into one polynomial , the process of addition will be much facilitated by writing all the similar terms under each other in vertical columns . EXAMPLES . ( 1. ) Add together a x + ...
... similar and dissimilar quantities , are to be collected into one polynomial , the process of addition will be much facilitated by writing all the similar terms under each other in vertical columns . EXAMPLES . ( 1. ) Add together a x + ...
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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