A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |
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Page 4
For the more easily reading of large numbers , they are divided into periods and half - periods , each half - period consisting of three figures ; the name of the first period being units ; of the second , millions ; of the third ...
For the more easily reading of large numbers , they are divided into periods and half - periods , each half - period consisting of three figures ; the name of the first period being units ; of the second , millions ; of the third ...
Page 6
8 = 4 , denotes that 8 is to be divided by 4 . 2 : 3 :: 4 : 6 , expresses that 2 is to 3 as 4 is to 6 . 6 + 4 = 10 , shows that the sum of 6 and 4 is equal to 10 . N 3 , or 3 ) , denotes the square root of the number 3 .
8 = 4 , denotes that 8 is to be divided by 4 . 2 : 3 :: 4 : 6 , expresses that 2 is to 3 as 4 is to 6 . 6 + 4 = 10 , shows that the sum of 6 and 4 is equal to 10 . N 3 , or 3 ) , denotes the square root of the number 3 .
Page 7
... except the number 3 , belongs to no other digit whatever ; namely , that “ any number divided by 9 , will leave the same remainder as the sum of its figures or digits divided by 9 : " which may be demonstrated in this manner .
... except the number 3 , belongs to no other digit whatever ; namely , that “ any number divided by 9 , will leave the same remainder as the sum of its figures or digits divided by 9 : " which may be demonstrated in this manner .
Page 11
Multiplication is also very naturally proved by Division ; for the product divided by either of the factors , will evidently give the other . But this cannot be practised till the rule of division is learned . Or thus :Having placed the ...
Multiplication is also very naturally proved by Division ; for the product divided by either of the factors , will evidently give the other . But this cannot be practised till the rule of division is learned . Or thus :Having placed the ...
Page 17
This will be the entire remainder which would result from dividing the dividend by the entire divisor * . EXAMPLES . ... Then the preceding fractions being all to be divided by the successive divisors ( they forming parts of the numbers ...
This will be the entire remainder which would result from dividing the dividend by the entire divisor * . EXAMPLES . ... Then the preceding fractions being all to be divided by the successive divisors ( they forming parts of the numbers ...
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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 |
| Export Citation | BiBTeX EndNote RefMan |