## 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

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

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

... 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

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

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 ...### What people are saying - Write a review

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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