A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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... means for the complete resolution of any numerical equation whatever . The Editor of this edition of Hutton's Course has availed himself of these valuable discoveries ; and , thinking that a work on elementary mathematics would now be ...
... means for the complete resolution of any numerical equation whatever . The Editor of this edition of Hutton's Course has availed himself of these valuable discoveries ; and , thinking that a work on elementary mathematics would now be ...
Page 58
... means of decimals we may approximate or approach towards the root , to any degree of exactness . Those roots which only approximate , are called Surd roots ; but those which can be found quite exact , are called Rational roots . Thus ...
... means of decimals we may approximate or approach towards the root , to any degree of exactness . Those roots which only approximate , are called Surd roots ; but those which can be found quite exact , are called Rational roots . Thus ...
Page 61
... means of the square root also may readily be found the 4th root , or the 8th root , or the 16th root , & c .; that is , the root of any power whose index is some power of the number 2 ; namely , by extracting so often the square root as ...
... means of the square root also may readily be found the 4th root , or the 8th root , or the 16th root , & c .; that is , the root of any power whose index is some power of the number 2 ; namely , by extracting so often the square root as ...
Page 65
... means , that 4 is to 2 as 6 is to 3 ; or thus , 4 : 26 : 3 ; or thus , , both which mean , that the ratio of 4 to 2 , is equal to the ratio of 6 to 3 . Proportion is distinguished into Continued and Discontinued . When the difference or ...
... means , that 4 is to 2 as 6 is to 3 ; or thus , 4 : 26 : 3 ; or thus , , both which mean , that the ratio of 4 to 2 , is equal to the ratio of 6 to 3 . Proportion is distinguished into Continued and Discontinued . When the difference or ...
Page 66
... means . Thus , of the four 2 , 4 , 6 , 8 , here 2 +84 + 6 = 10 . THEOREM 2. - In any continued arithmetical progression , the sum of the two extremes , is equal to the sum of any two means that are equally distant from them , or equal ...
... means . Thus , of the four 2 , 4 , 6 , 8 , here 2 +84 + 6 = 10 . THEOREM 2. - In any continued arithmetical progression , the sum of the two extremes , is equal to the sum of any two means that are equally distant from them , or equal ...
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Common terms and phrases
algebraic axis bisected centre chord ciphers circle circumference co-ordinates coefficient contained Corol cosec cosine cube root curve decimal denominator denotes 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 quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line substitute subtract tangent THEOREM unknown quantity VULGAR FRACTIONS whole number yards