## A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |

### From inside the book

Page 9

...

...

**figure**from that sum , setting down the remainder , and carrying 1 , for what was borrowed , to the next lower**figure**, with which proceed as before ; and so on till the whole is finished . TO PROVE SUBTRACTION . Add the remainder to ... Page 10

...

...

**figure**, and set down the remainder directly under the**figure**that is multiplied ; and if nothing remains , set down a cipher . Carry as many units or ones as there are tens counted , to the product of the next**figures**; and proceed in ... Page 11

...

...

**figure**in the multiplier , so as that the first**figure**of each line may stand straight under the**figure**multiply- ing by . Add all the lines of products together , in the order in which they stand , and their sum will be the answer ... Page 12

...

...

**figure**of the multiplier , putting the first**figure**one place to the right of the right - hand**figure**of the last product , in the line below : proceed to the next , carrying out the first**figure**one place more to the right ; and so on ... Page 13

...

...

**figures**are brought down and used . 0 Note . If it be necessary to bring down more**figures**than one to any re- mainder , in order to make it as large as the divisor , or larger , a cipher must be set in the quotient for every**figure**so ...### Other editions - View all

### Common terms and phrases

a₁ ABCD algebraic annum arithmetical arithmetical progression base bisect centre circle circumference coefficients common difference compound compound interest cosec cube root decimal denominator denote diagonal diameter distance divided dividend division divisor draw drawn equal equiangular EXAMPLES expression factors figure fraction geometrical geometrical progression given number greater hence inscribed integer intersection least common multiple length less lineation logarithms method Multiply number of terms parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radius ratio rectangle Reduce remainder result right angles rule Scholium sides signs solution square root straight line subtract tangent THEOREM third triangle ABC vulgar fraction Whence whole yards