A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |
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Page iv
In the chapters on simple and quadratic equations , the introductory remarks and suggestions , as well as the examples ... of an equation ; and as brief a form of investigating Sturm's criterion as I could devise , has also been added .
In the chapters on simple and quadratic equations , the introductory remarks and suggestions , as well as the examples ... of an equation ; and as brief a form of investigating Sturm's criterion as I could devise , has also been added .
Page vii
75 79 simultaArithmetical progression 76 80 189 199 Geometrical progression 79 82 Quadratic equations , problems 193 ... an equation from given ALGEBRA . roots 214 228 Expression for the transformed Introductory chapter 100 104 equation ...
75 79 simultaArithmetical progression 76 80 189 199 Geometrical progression 79 82 Quadratic equations , problems 193 ... an equation from given ALGEBRA . roots 214 228 Expression for the transformed Introductory chapter 100 104 equation ...
Page 60
Again , let this equation be multiplied by six , and it will give - -206896551729 ; and then by substituting as before z = ' 0344827586206896551777 ; and so on , as far as may be thought proper ; each fresh multiplication doubling the ...
Again , let this equation be multiplied by six , and it will give - -206896551729 ; and then by substituting as before z = ' 0344827586206896551777 ; and so on , as far as may be thought proper ; each fresh multiplication doubling the ...
Page 69
... is only a particular application of his general method of solving numerical equations of all orders . ... the operation than as generally applied to equations of a higher order , and is put in this form for the use of those students ...
... is only a particular application of his general method of solving numerical equations of all orders . ... the operation than as generally applied to equations of a higher order , and is put in this form for the use of those students ...
Page 94
The algebraist will know at once to what class of questions this property belongs , when it is stated that it is only to such as rise no higher than a simple equation . When it is by means of one equation , and one unknown ...
The algebraist will know at once to what class of questions this property belongs , when it is stated that it is only to such as rise no higher than a simple equation . When it is by means of one equation , and one unknown ...
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A Course of Mathematics: Composed for the Use of the Royal Military Academy Charles Hutton No preview available - 2015 |
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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