A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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... results of the researches of our countryman , the late W. G. Horner , of Bath , especially his beautiful , simple , and effective process for the evolution of the roots of numerical equations ; which , combined with the theorem of Sturm ...
... results of the researches of our countryman , the late W. G. Horner , of Bath , especially his beautiful , simple , and effective process for the evolution of the roots of numerical equations ; which , combined with the theorem of Sturm ...
Page 37
... resulting from each simple stating to be the second term of the next following one . So shall the last resulting num ... result by the former product , so shall the quotient be the answer sought . EXAMPLES . 1. How many men can complete ...
... resulting from each simple stating to be the second term of the next following one . So shall the last resulting num ... result by the former product , so shall the quotient be the answer sought . EXAMPLES . 1. How many men can complete ...
Page 41
... result back again by the same , which it is evident does not alter the value : for any fraction represents & division of the numerator by the denominator 2. Reduce 123 3. Reduce 14 to a fraction . VULGAR FRACTIONS . 41.
... result back again by the same , which it is evident does not alter the value : for any fraction represents & division of the numerator by the denominator 2. Reduce 123 3. Reduce 14 to a fraction . VULGAR FRACTIONS . 41.
Page 42
... it is manifest from the nature of Common Division . + Multiplication and Division being here equally used , the result must be the same as the quantity first proposed . CASE V. To reduce a compound fraction to an equivalent 42 ARITHMET.C .
... it is manifest from the nature of Common Division . + Multiplication and Division being here equally used , the result must be the same as the quantity first proposed . CASE V. To reduce a compound fraction to an equivalent 42 ARITHMET.C .
Page 43
... resulting fraction and a third will be the same as a compound fraction of two parts ; and so on to the last of all . This is evidently no more than multiplying each numerator and its denominator by the same quantity , and consequently ...
... resulting fraction and a third will be the same as a compound fraction of two parts ; and so on to the last of all . This is evidently no more than multiplying each numerator and its denominator by the same quantity , and consequently ...
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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