I 476 ] 
XXVIII. A new and general Method of finding Jimpk and 
quickly -converging Series ; by which the Proportion oj the 
Diameter of a Circle to its Circumference may eafily 
be computed to a great Number of Places of Figures , 
By Charles Hutton, Efq. F, R. S, 
TO THE REV. DR. HORSLEY, SEC. R. S. 
_ Royal Mil. Acad*. 
® ^ R> Jan. 25, 2776. 
R. May 1, T n a late examination of the methods of Mr. 
1776. I 
A mach in and others, lor computing the pro- 
portion of the diameter of a circle to its circumference, I 
difcovered the method which is explained in the paper 
accompanying this letter. This method you, sir, will 
perceive is very general, and difcovers many feries which 
are very fit for the abovementioned purpofe. If you 
think it has fufficient merit to entitle it to the honour of 
being offered to the Royal Society, I have taken the 
liberty to inclofe it to you, requefting the favour of you 
to prefent it accordingly, from, &:c. 
P. S. In the courfe of the laft year, I attended fome 
very interefiing experiments on the effe&s of the 
force 
