458 Mr* walis on the Refoktkn , 
caufe we muft attribute all that obfeurity which the algebraic 
mode of inveftigation has been fo frequently charged with. 
I (hall endeavour to verify this doctrine, in feme meafure, by 
the expreffions which are put down in the following tables for 
the lines, cofines, and tangents of arcs of circles, and of the 
multiples of thole arcs ; which tables will be found very ufe- 
ful in the profecution of the defign which I am now upon, and 
are abfolutely neceffary in the explanation of it. 
from an unmerited ftigma : 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. 
