244 Mr. Knight’s two general propositions, &c. 
A . L . cos. o = — , o®53 579, A 2 . L . cos. o = — , o’loyi^ 
A 3 . L . cos. o= , o’ 3 ; 
A . tang. o=, o 3 i57o796339, A 3 . tang. o= , o"j 8 , A 3 , tang. 
o=, o" 7 8 ; 
A . tang. 3 o=, 0*246740, A 3 , tang. 2 o=, 0^93480, A 3 , tang. 2 
0 = 0, o ,3 , r 
A . tang. 3 0 =, o "39, A. 3 tang. 3 0 =, o ,0 232, A 3 , tang. 3 0 =, 
O io 232. 
Suppose, for a particular example, we want the first three 
differences of L. sin. 50°, we have 
A L . sin. 50°=—, o # 535794-M{,o 3 157o796339—,o 7 12337o 
+» o"i 3 } 
a s L. sin. 50°=— , o 7 io7i58-j-M{,o /, 78 — ,o 7 24674o-{-,o"77 j 
A 3 . L . sin. 50° = M | , o // 78+,o ,/ 77 j or 
A L . sin. 50° — , 0000682081030, A* . L . sin . 30° = — -, 
0000000214249, 
A 3 . L . sin. 50°=, 0000000000068. 
