114 Mr Qlaislier, On factor tables. [Feb, 11, 



others, Felkel should undertake the second million. To this 

 Felkel appears to consent in his letter of February 21, 1776. 

 Lambert replies in a friendly letter and says that he will write to 

 his two correspondents [von Stamford and Ejosenthal] to learn 

 what progress they have made. There are then three letters 

 from Felkel dated March SO, April 24, and June 24, 1776. In 

 the first he points out the excellence of his own process, and 

 withdraws his consent to combine his work with that of Lambert's 

 other correspondents : he hopes by Easter, 1777, to have the table 

 printed up to 1,008,000, on 42 sheets, and the portion from 

 1,008,000 to 2,016,000 ready for press. In the second letter he 

 states that the emperor has approved the whole work, and has 

 made a money advance (Vorschuss) towards the printing. The 

 third letter contains a circular (in Latin) inviting subscriptions : 

 it is there stated that part I. (1 — 144,000) had been promised in 

 February for one florin, but that it was in contemplation to extend 

 part I. to 300,000 and publish it in August for two florins. The 

 proposed extent of the whole table is not mentioned, though it 

 seems to be implied that the factors have been found of numbers 

 up to 2,000,000. The machine is also advertised for sale ; the 

 larger ones (for finding factors of all numbers) at three florins, and 

 the smaller ones (for finding factors of numbers not divisible by 

 2, 3 or 5) for two florins. The circular is dated June 10, 1776. 



It is after the receipt of these three letters and before writing 

 in reply to Felkel that Lambert wrote the letter of July SO to 

 Rosenthal, the substance of which has been given in the last 

 section. The wording is certainly strong : he writes, " dass Herr 

 Felkel meinen Antrag nur so weit angenommen, als er in seinen 

 Kram dienet... Ich finde nicht die geringste Spur von Zutrauen, 

 Bescheidenheit und Billigkeit darinn." He mentions that he has 

 received three letters from Felkel to which he had not replied. 

 Lambert certainly had some grounds for the opinion he expresses, 

 as Felkel though he says a good deal about the excellences of 

 his machine and table does not explain them ; and a great part 

 of his communications is occupied by boasting in one form or 

 another. 



On August 13, 1776, he writes to Felkel and sends him an 

 announcement of Hindenburg's table from 1 to 5,000,000 that he 

 has just received. He says that he would write and ask Hinden- 

 burg to begin at the third million, only that his former proposi- 

 tion (to Felkel, to begin at the second million) was unsuccessful, 

 and this might be so too. On September 10 Felkel sends to 

 Lambert a Nachriclit occupying 20 pp. and entitled 'Nachricht 

 von einer Tafel, welche alle Factoren aller Zahlen von 1 bis 

 1 Million, dann einer andern, welche alle Factoren, aller durch 

 2, 3, 5 nicht theilbaren Zahlen enthalt, von 1 bis 10 Millionen, als 



