194 Mr. J. Bridge on a Calculating Apparatus 



in column 3. Bring down d, c, b together, seeking somewhat 

 less than the remainder, and subtract the number found. Put 

 back d, c ; move F on to 5, and append a new figure from the 

 dividend. 



The plan for any stage is — 



(a) Subtract the sum of all the elements shown by the col- 

 lecting slides. 



(/3) Seek somewhat less than the remainder with the trial* 

 slides, and subtract the number found. 



(7) Put back all the trial slides but the one nearest F, 

 move F on a step, and append a new figure from the dividend. 



At the end the quotient is to be read off backward from the 

 slides. 



If the complete remainder at any stage is required, transfer 

 the frame to the right-hand side of the board and move it up 

 towards the left, subtracting at each step the sum of the ele- 

 ments shown. 



7. It will be seen that the elements of the product or divi- 

 dend are taken up at successive stages in the following order 

 (compare art. 3) : — 



012345678 



First stage 



1 



1 



1 



F 







Second stage . 



2 



2 



2 



1 



F 





Third stage . 



3 



3 



3 



2 



1 



F 



Fourth stage . 



4 



4 



4 



3 



2 



1 



and so on. 



The ranks being found by adding the numbers indicating 

 the column and the row, are — 



At the first stage . . 1, 2, 3 

 „ second stage . 2, 3, 4, 4 

 „ third stage . . 3, 4, 5, 5, 5 

 and so on. 



In the above, each slide after leaving column 2 retains the 

 position on the frame which it got there ; the partial dividends 

 have (usually) 3 figures, and the remainders to be recorded 

 at the end of each stage 2 figures. 



If it is agreed that each slide shall get its setting in column 1, 

 two trial slides must be used, and F for the first stage must 

 be placed at 2. This will be found the more convenient plan, 

 unless the divisor have a small leading figure. The estimation 



* The element shown by the one nearest F is of the same rank as those 

 shown by the collecting slides. 



