174 COMPUTATION OF SQUARES ANO CUBES. 



On the compu- grounds on which I prefer my method to that of H. G; ; 

 tation of fquarcs f^,. j fjin confider the plan which I firft Jaid down as the 

 and cubes. ^ n ^ r r, 



eafielt and fureft. . . 



I have faid, that if the differences are confidered in p. 125 

 as found by addition inftead of fubtra<5i:ion, the example; 

 would fuit with my method, becaufe the fecond differences 

 are ftill additional, and will be found, upon comparifon, to 

 be added in exaftiy the fame order as in pp. 8 and 9. The 

 only variety is by making two tables: I add the fum of the 

 two numbers which are feparately arranged under each cube. 

 I have only to add on this part of the fubje6t, that H. G. has 

 adopted my method in feme meafure ; for he fays that K == 

 G -[- 6» as well as = 6d. It is true (as I remarked with 

 refpe<5l to the fquares, that this equality would moft probably 

 occur to the calculator; but at the fame time we rauft recoi- 

 led, that it is different from the rule laid down in p. 150, 

 Vol. VIII. 



I (hall not add any thing to what I have ftated in p. 5, 

 with refped to the miftakes to which either method is liable; 

 but I fliall conclude by affuring you, that it is not my inten- 

 tion to trouble you any more on the prelent fubjed. I 

 thought it might be ufeful to publifli the letter which I firrt 

 fent you, and having done fo, it became neceffary to remove 

 any obfcurities in it, and to anfwer any miftaken objedlions 

 which might be raifed againft it: but this having once been 

 done, there can be no occafion for further controverfy ; and 

 I have only to thank you for the indulgence which you have 

 granted me. 



I am. Sir, 



Your obliged humble fervaiit, 



E. O. 



P. S. I take this opportunity to beg you will mention two 

 or three prefs errors which occur in my former letter. 



P. 9, line 20, dele the Italic e. 



P. lo, line 12, X + lY , read in both inftances, x -^ i\* 

 p. 12, line 1 6, 29 read 27. 



Letter 



