A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |
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Page v
The doctrine of ratio is put altogether in a new and , I persuade myself , a perfectly logical form ; and the theorems depending on ratio are changed in their manner of demonstration , to be in accordance with the same principles .
The doctrine of ratio is put altogether in a new and , I persuade myself , a perfectly logical form ; and the theorems depending on ratio are changed in their manner of demonstration , to be in accordance with the same principles .
Page vii
181 191 73 69 Quadratic equations , problems 185 195 Progressions and ratios ..... 75 79 simultaArithmetical progression 76 80 189 199 Geometrical progression 79 82 Quadratic equations , problems 193 206 Harmonical progression 82 85 ...
181 191 73 69 Quadratic equations , problems 185 195 Progressions and ratios ..... 75 79 simultaArithmetical progression 76 80 189 199 Geometrical progression 79 82 Quadratic equations , problems 193 206 Harmonical progression 82 85 ...
Page viii
296 292 Plasterers ' 514 458 Theorem independent of ratio ... 296 292 Painters ' 514 459 Ratios and proportions 322 317 Glaziers ' 515 460 Definitions 322 317 Pavers ' 515 460 Principle employed ( note ) 323 Plumbers ' .
296 292 Plasterers ' 514 458 Theorem independent of ratio ... 296 292 Painters ' 514 459 Ratios and proportions 322 317 Glaziers ' 515 460 Definitions 322 317 Pavers ' 515 460 Principle employed ( note ) 323 Plumbers ' .
Page 37
20 ) 2818 £ 14 8 3 If we adhere to the rigid geometrical principles of ratio , as Mr. Bonnycastle has done , we should put the term which is of the same kind with the answer in the third place instead of the second .
20 ) 2818 £ 14 8 3 If we adhere to the rigid geometrical principles of ratio , as Mr. Bonnycastle has done , we should put the term which is of the same kind with the answer in the third place instead of the second .
Page 75
457–549 . n 91 = 3 - - we have = 3 OF RATIOS , PROPORTIONS , AND PROGRESSIONS OF NUMBERS . ... So , of these two numbers , 6 and 3 , the difference , or arithmetical ratio is 6 — 3 or 3 , but the geometrical ratio is for 2 .
457–549 . n 91 = 3 - - we have = 3 OF RATIOS , PROPORTIONS , AND PROGRESSIONS OF NUMBERS . ... So , of these two numbers , 6 and 3 , the difference , or arithmetical ratio is 6 — 3 or 3 , but the geometrical ratio is for 2 .
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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
Bibliographic information
| Title | A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Charles Hutton |
| Author | Charles Hutton |
| Edition | 12 |
| Publisher | Gilberte and Rivington, 1841 |
| Original from | University of Illinois at Urbana-Champaign |
| Digitized | 8 Jul 2014 |
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