188 Mathematical Problems, by Mr. Adams. [Marcn, 
h = 17047'97" 
H = 56 16 50 H! =56° 16/18” 
D =101 46 43 i =18 38 43. 
175 51 30 
S = 87 55 30 
h= 17 AT 27 ..comp.cos. =0'0212817 
H = 56 16 50 ..comp.cos, =0°2556079 
§—h = 70 08 03. ..sin. =9'9733546 4D’ =50°29/00-0" 
S-H = 31 38 40 ..sin. =9-7198667 = =18 48 47-5 
H’ = 561618 ..cos, =9°7444931 sum =69 17 47-5 ..sin.=9-9710079 
= 18 38 43 | cos. =9-9765866 diff, =3] 40 12:5 ..sin, =9°71201826 
H’—! = 37 3735 ..cos.¢? = 96911906 96911905 
W- 
5 = 18 48 475 
¢ 45 30 31-05..cos.¢ ==9°8455953 
ium. 2 64 10 18 55! \ sili: =9.9548414 
Diff. = 26 41 48-55. .sin. =9:6524859 
cos. 3 D’? =9-6073273 
—— 
cos. 5 D’ =9°8036637 
2D’ = 50° 29’ 00” 
D’=100 58 00 
It is clear that it would be very easy to prepare printed forms 
to be filled up, and that the calculations would become more 
accurate, and not liable to mistakes. 
I am, Sir, your obedient servant, 
fe TIARKS. 
ARTICLE IV. 
Mathematical Problems. By James Adams, Esq. 
Stonehouse, Sept. 20, 1818. 
Your inserting the following problems, &c. in the Annals of 
Philosophy, will much oblige your most obedient servant, 
James ADAMS. 
Problem 1.—To find the difference of the natural cosines of 
two ares by logarithms. 
Bs. 
. sin. 
‘e. 
Per trigonometry, cos. B — cos. A = 2. sin.—;> 
A-B 
2 e 
