<2 26 Mr. maseres’s Method of 
- See. = 834,62,6,843,021, - See. of which the firft 
eight figures .834,626,84 are exa<£t, the error being in 
the ninth figure 3, which ought to be a 2 inftead of a 3, 
as would have appeared if we had computed another 
term or two of the differential feries. 
Art. 21. 
See., or 1- 
. _ r . nvv cv* 
d E -i/ 8 
F V xo 
bince rue leneb a— ^ t 
l.I.AVV 3 3-B^ 4 5.5 CV 6 1 7.7.D^ 8 
* 6 + i s 
9 . 9 .E < y I ° 
J lvJ 
Sec. 
2.2 .ss ^ 4.4.J 4 6.6. j 6 * 8 
l0.lO,i iJ 
is, in this cafe of an arch of 90°, = .834,626,843, — &:c., 
or fomewhat lefs than .834,626.843, the product of that 
feries into tlx — , will be - ttx — x .834,626,843,-Stc^ 
(becaufe is in this cafe — s) z x r x .834,626,843, -8tc. 
= 1 *5 7°>7 965326,7 94, Sec. x r x .834,626,843 
— &c. — r h 1. 311,02 8, 77 9, — Sec., or fomething lefs than 
rx 1,311,028,779; which is exact to nine places of 
figures, the more exact value of this quantity being 
r -x 1. 31 1,028,777,146, <kc. as appears by a computa- 
tion made by Mr. Stirling, in his admirable Treatife on 
the Summation of .Seriefes, p. 5 8. 
Art. 22. This value of the product of 1.570,796, 
3 2 6,7 94, &c. —into the feries 
I.I.-AW 3.3.BT; 4 5.5. CV 6 
2.2. s s ‘ 4.4. s 4 6.6. s 6 
7.7 di; s 9 9.E7; 10 
SJ.j 8 Vo. 10. s' 1 "' 
4 - &c., found by 
stbe foregoing proceffesin this extreme and moll difficult 
.cafe, to wjt, 1.311,028,779, See. x r, exceeds its true 
