170 
Mr, Ivory on a new Method of deducmg 
i = 50° 30' 11" 
= — o‘oo393i8 
= 25° 21' 33" 
h — s 6 38 32I 
h ' 4 18 27 
log. T = 0*8566407 
log. T := 0*6798693 
log* ^ = 9*5593803 
COS. <y = 9*9268248 
r* = 0*973662 + num. (0*1489016) x p + p* 
/• = 0*969967 + num. (9*3^18159) xp+ num. (9*1 187606) xp"" 
V = 0*950062 + num. (9*8819026) X p + 011111.(9*4862051 )xp^ 
In this instance, the form alone of shows that r > R ; and 
likewise that r increases continually as p increases : we will 
therefore make different substitutions for p, increasing the 
value when the error is negative, and decreasing it when the 
error is positive. 
First, let p = o*i : then 
r"= 1*124556 
= 0*994286 
V=: 1*029316 
6* = ;*• + r'* — 2V = 0*060210 
a* = 2/'* + 4*237684 . . . log. 0*6271286 
7a 46^ 
o ^ — 0*022221. 
Next, let p = 0*2 ; then 
'*■= 1-295456 
r'*= 1*021234 
V = 1*114698 
h * = 0*087294 
log. a = 0-31 356-43 
