LuDGATE — On a Proposed Analytical Machine. 81 



belong to the same shuttle-bos. The act of inscribing a new value in a 

 shuttle automatically cancels any previous value that the shuttle may have 

 contained. The fundamental action of the machine may be said to be the 

 multiplying together of the numbers contained in any two shuttles, and tlie 

 inscribing of tlie product in one or two shuttles. It may be mentioned here 

 that the fundamental process of Babbage's Engine was not multiplication 

 but addition. 



Though the index is analogous to the slide-rule, it is not divided 

 logarithmically, but in accordance with certain index numbers, which, after 

 some difficulty, I have arranged for the purpose. I originally intended to 

 use the logarithmic method, but found that some of the resulting intervals 

 were too large ; while the fact that a logarithm of zero does not exist is, 

 for my purpose, an additional disadvantage. The index numbers (which 

 I believe to be the smallest whole numbers that will give the required 

 results) are contained in the following tables : — 



[Tables. 



