A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |
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Page vii
51 47 Square root of compound Multiplication 51 48 expressions 148 146 Division 52 49 Cube root of ditto 149 Rule of three 52 49 Reduction ... 90 93 Definitions and notation 206 219 Position , single 93 96 Calculation of an expression .
51 47 Square root of compound Multiplication 51 48 expressions 148 146 Division 52 49 Cube root of ditto 149 Rule of three 52 49 Reduction ... 90 93 Definitions and notation 206 219 Position , single 93 96 Calculation of an expression .
Page 41
A Fraction , or broken number , is an expression of a part , or some parts , of something considered as a whole . It is denoted by two numbers , placed one below the other , with a line between them : a } 3 numerator Thus , which is ...
A Fraction , or broken number , is an expression of a part , or some parts , of something considered as a whole . It is denoted by two numbers , placed one below the other , with a line between them : a } 3 numerator Thus , which is ...
Page 42
A Simple Fraction , is a single expression , denoting any number of parts of the integer ; as , s , or . A Compound Fraction , is the fraction of a fraction , or two or more fractions connected with the word of between them ; as į of 3 ...
A Simple Fraction , is a single expression , denoting any number of parts of the integer ; as , s , or . A Compound Fraction , is the fraction of a fraction , or two or more fractions connected with the word of between them ; as į of 3 ...
Page 68
... required . va That is , wat 6 Nabi This rule will serve , whether the root be finite or infinite : and sometimes one of these expressions will simplify the operation , sometimes another ; as will be learnt from a little experience .
... required . va That is , wat 6 Nabi This rule will serve , whether the root be finite or infinite : and sometimes one of these expressions will simplify the operation , sometimes another ; as will be learnt from a little experience .
Page 70
+ A little attention to the composition of the algebraic expression for the cube of a binomial will render the truth of this rule very obvious . For ( a + b ) 3 = a3 + 3a2b + 3ab ? + b3 = a3 + { 3a2 + ( 3a + b ) x 6 } 6 , the last form ...
+ A little attention to the composition of the algebraic expression for the cube of a binomial will render the truth of this rule very obvious . For ( a + b ) 3 = a3 + 3a2b + 3ab ? + b3 = a3 + { 3a2 + ( 3a + b ) x 6 } 6 , the last form ...
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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