A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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... Ratios and Proportion 185 Decimal Fractions 48 Equations -- Preliminary Remarks 196 Addition of Decimals 49 Simple Equations 197 Subtraction of Decimals 50 Quadratic Equations 235 Multiplication of Decimals 50 Nature of Equations 274 ...
... Ratios and Proportion 185 Decimal Fractions 48 Equations -- Preliminary Remarks 196 Addition of Decimals 49 Simple Equations 197 Subtraction of Decimals 50 Quadratic Equations 235 Multiplication of Decimals 50 Nature of Equations 274 ...
Page 64
... and use of it were given at large in my Tracts , vol . 1 , p . 45 , & c . Ans . 1.104089 . Ans . 3470323 . Ans . 1090508 . Ans . Ans . 3022239 . 1.080059 . OF RATIOS , PROPORTIONS , AND PROGRESSIONS . NUMBERS are 64 ARITHMETIC .
... and use of it were given at large in my Tracts , vol . 1 , p . 45 , & c . Ans . 1.104089 . Ans . 3470323 . Ans . 1090508 . Ans . Ans . 3022239 . 1.080059 . OF RATIOS , PROPORTIONS , AND PROGRESSIONS . NUMBERS are 64 ARITHMETIC .
Page 65
... Ratio : the other considers their quotient , and is called Geometrical Relation , and the quotient the Geometri- cal Ratio . So , of these two numbers 6 and 3 , the difference , or arithmetical ratio , is 6 3 or 3 ; but the geometrical ...
... Ratio : the other considers their quotient , and is called Geometrical Relation , and the quotient the Geometri- cal Ratio . So , of these two numbers 6 and 3 , the difference , or arithmetical ratio , is 6 3 or 3 ; but the geometrical ...
Page 69
... ratio of the series raised to the power denoted by 1 less than the number of the terms . So , of the ten terms 2 , 4 , 8 , 16 , 32 , 64 , 128 , 256 , 512 , 1024 , the common ratio is 2 , one less than the number of terms 9 ; then the ...
... ratio of the series raised to the power denoted by 1 less than the number of the terms . So , of the ten terms 2 , 4 , 8 , 16 , 32 , 64 , 128 , 256 , 512 , 1024 , the common ratio is 2 , one less than the number of terms 9 ; then the ...
Page 70
... ratio of the three terms : then multiply the less term by the ratio , or divide the greater term by it , either of these will give the middle term required . EXAMPLE . To find a geometrical mean between the two numbers 3 and 12 . Second ...
... ratio of the three terms : then multiply the less term by the ratio , or divide the greater term by it , either of these will give the middle term required . EXAMPLE . To find a geometrical mean between the two numbers 3 and 12 . Second ...
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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