## A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |

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Page 79

And

And

**hence**, if the product of the two means be divided by one of the extremes , the quotient will give the other extreme . Thus , of the above numbers , if the product of the means 42 be divided by 6 , the quotient 7 is the other ... Page 73

... which gives a new and nearer approximation to R. With this new value of a , find a new value of I , and

... which gives a new and nearer approximation to R. With this new value of a , find a new value of I , and

**hence**a new approximation to R. Continue this series of approximations till the required degree of accuracy is obtained . Page 79

And

And

**hence**, if the product of the two means be divided by one of the extremes , the quotient will give the other extreme . Thus , of the above numbers , if the product of the means 42 be divided by 6 , the quotient 7 is the other ... Page 106

**Hence**we learn that ao always signifies 1 , whatever a may be . Indeed a " signifying 1 am , if m = o we have 1 ao = 1 , or 1 x ao = 1 , or 1 time a taken of no power * whatever . The result is therefore perfectly consistent with first ... Page 136

**Hence**( a3 + a2b ) ( a ? 62 ) a ” ( a + b ) 2 ( a - b ) = a ( a + b ) ( a - b ) = a ( a2-64 ) . a + b Ex . 2. Required the least common multiple of 23 + 2a + x + 1 and 28 22 + - 1 . Here the greatest common measure is 22 + 1 = V ...### What people are saying - Write a review

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A Course of Mathematics: Composed for the Use of the Royal Military Academy Charles Hutton No preview available - 2015 |

### Common terms and phrases

added algebraic angle answer applied arithmetical base called centre circle coefficients common compound contained continued cube decimal denominator denote describe diameter difference distance divided division divisor double draw drawn equal equation EXAMPLES expression extremes factors figure former four fraction functions give given greater half hence interest intersection join latter length less manner means measure meeting method Multiply obtained operation opposite parallel parallelogram perpendicular plane position principal PROBLEM proportional quantity question quotient radius ratio rectangle Reduce remainder respectively result right angles root rule sides signs simple solution square subtract successive supposing taken THEOREM third triangle Whence whole yards