4jS Mr. wales on the Refolutlon , &c. 
caufe we muft attribute all that obfcurity which the algebraic 
mode of inveftigation has been fo frequently charged with. 
1 (hall endeavour to verify this dodtrine, in fome meafure, by 
the expreffions which are put down in the following tables for 
the fines, cofines, and tangents of arcs of circles, and of the 
multiples of thofe arcs ; which tables will be found very ufe- 
ful in the profecution of the defign which I am now upon, and 
are abfolutely necefifary in the explanation of it. 
r 
from an unmerited fligma : and if I never be happy enough to have an opportunity 
of doing it myfelf, what I have here faid may be the means of putting fom c 
other perfon, who has, upon it. 
TABLE 
