## A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |

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Page 7

This method of proof is founded on the plain axiom , that “ The whole is equal to all its parts

This method of proof is founded on the plain axiom , that “ The whole is equal to all its parts

**taken**together . ” Third Method . Add the figures in the uppermost line together , and find how many nines are contained in their 3197 sum . Page 8

... the reason of the rule itself evident : for the excess of 9s in two or more numbers being

... the reason of the rule itself evident : for the excess of 9s in two or more numbers being

**taken**separately , and the excess of 9s**taken**also out of the sum of the former excesses , it is plain that this last excess must be equal to ... Page 13

A convoy of ammunition I bread , consisting of 250 waggons , and each waggon containing 320 loaves , having been intercepted and

A convoy of ammunition I bread , consisting of 250 waggons , and each waggon containing 320 loaves , having been intercepted and

**taken**by the enemy , what is the number of loaves lost ? Ans . 80000 . OF DIVISION . Page 26

... so shall the number last found be the value of all the numbers which are in the higher denominations ,

... so shall the number last found be the value of all the numbers which are in the higher denominations ,

**taken**together . EXAMPLE . S 1. In 12341 15s 7d , how many farthings ? £ d 1234 15 7 20 24695 Shillings . 12 296347 Pence . Page 31

Then the several remainders ,

Then the several remainders ,

**taken**together , will be the whole difference sought . The method of proof is the same as in Simple Subtraction . EXAMPLES OF MONEY . S 1 . £ S d From 79 17 81 Take 35 12 44 2 . £ d 103 3 23 71 12 53 3 .### 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 |

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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