C '35 3 
VII. Mr. Jones's Computation of the Hyperbolic Logarithm of 
10 improved: being a Transformation of the Series which he 
used in that Computation to others which converge by the 
Powers of 8o. To which is added a Postscript , containing an 
Improvement of Mr. Emerson's Computation of the same Lo- 
garithm. By the Rev. John Hellins, Vicar of Potter's Pury, 
in Northamptonshire. Communicated by Nevil Maskelyne, 
D.D. F. R. S. and Astronomer Royal. 
Read February 18, 1796. 
1. T. he method of computing by series is so extensive and 
useful a part of the mathematics, that any device which faci- 
litates the operation by them will undoubtedly be acceptable 
to those who are proper judges of these matters. In this per- 
suasion I have employed an hour of that little leisure which 
my present situation affords me, in improving a calculation of 
Napier's, for finding the hyperbolic logarithm of 10, which was 
given by the justly celebrated William Jones, Esq. F. R. S. in 
p ; 180 of his Synopsis Palmariorum Matheseos. The same com- 
putation, described in a manner better suited to the capacities 
of beginners, was also published many years afterward by the 
learned Dr. Saunderson, in the second volume of his Ele- 
ments of Algebra, p. 633 and 6 34, Since Dr. Saunderson's 
time the doctrine of series has been much improved. My 
present intention is, to exhibit a transformation of the series 
by which Mr. Jones computed the hyperbolic logarithm of 10 
