A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 43
... 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 the value of the fraction ...
... 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 the value of the fraction ...
Page 44
... third ; and so on till they be all reduced to their least common denominator . CASE VII . To find the value of a fraction in parts of the integer . RULE . - Multiply the integer by the numerator , and divide the product by the ...
... third ; and so on till they be all reduced to their least common denominator . CASE VII . To find the value of a fraction in parts of the integer . RULE . - Multiply the integer by the numerator , and divide the product by the ...
Page 48
... third terms , and the first with its terms inverted as in Division , for the answer . EXAMPLES . 1. If of a yard of velvet cost of a pound sterling ; what will of a yard cost ? 3 2 Here , : 8 5 5 8 2 :: : X X 16 3 5 5 16 = fl . = 6s ...
... third terms , and the first with its terms inverted as in Division , for the answer . EXAMPLES . 1. If of a yard of velvet cost of a pound sterling ; what will of a yard cost ? 3 2 Here , : 8 5 5 8 2 :: : X X 16 3 5 5 16 = fl . = 6s ...
Page 58
... third root of 20 is expressed by 20 ; and the square root or 2d root of it is √20 , the index 2 being always omitted , when the square root is designed . - When the power is expressed by several numbers , with the sign + or between ...
... third root of 20 is expressed by 20 ; and the square root or 2d root of it is √20 , the index 2 being always omitted , when the square root is designed . - When the power is expressed by several numbers , with the sign + or between ...
Page 59
... third term ; also a the first divisor , 2a + b the second , and 2a +26+ c the third , each consisting of the double of the root increased by the next term of the same . And the mode of extraction is thus : 1st divisor a ) ao + 2ab + b2o ...
... third term ; also a the first divisor , 2a + b the second , and 2a +26+ c the third , each consisting of the double of the root increased by the next term of the same . And the mode of extraction is thus : 1st divisor a ) ao + 2ab + b2o ...
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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