L6 
of 
•ds 
in 
THEORY OF ELLIPTIC MOTION 
[ ] 5 
□ 6 
[ ] 7 
[ ] 8 
“/ 
sin 
e 4 
e 7 
r ^ ■'s 
e 6 
e 7 
768 
92160 
7680 
1290240 
92160 
1290240 
| [cos + sin] 
+ 625 
— 150000 
+ 7776 
- 2939328 
+ 117649 
4- 2097152 
\ [cos — sin] 
0 
~ 3i 2 5 
0 
- 46656 
0 
0 
[cos] 
+ 625 
- 153125 
+ 7776 
- 2985984 
+ 117649 
+ 2097x52 
[sin] 
+ 625 
- 146875 
+ 7776 
— 2892672 
+ 117649 
+ 2097152 
where the lines [cos], [sin] are obtained by the addition and subtraction of the lines 
\ [cos + sin], \ [cos — sin]; and it then only remains to reduce the fractions, at the same 
time multiplying by 2 the lines J [cos + sin], ^ [cos — sin], to obtain instead the lines 
[cos + sin], [cos —sin]. We have thus, 
0 cos t 
.T° . f 
sin 
[ ]° 
[ l 1 
e 
e 3 
e B 
e 7 
' ,0 
e 2 
e* 
e 6 
[cos + sin] 
— I 
0 
O 
0 
+ I 
- I 
5 
288 
[cos — sin] 
Do. 
55 
55 
55 
0 
I 
“ 8 
+ 37 
3072 
[cos] 
I 
9 
+ 25 
49 
2 
16 
384 
18432 
[sin] 
0 
0 
0 
0 
1 
+ - 
2 
_ _7_ 
16 
+ *L 
384 
271 
18432 
sin' 
[ p 
[ ] 3 
[ ] 4 
e 
<4 
e 5 
e 7 
e 2 
e 4 
e 6 
e 3 
e 5 
e 7 
[cos + sin] 
+ I 
_ 5 
4 
7 
144 
+ 
9 
8 
765 
1024 
+ 4 
3 
_ 7 
3 
83 
+ 60 
[cos — sin] 
0 
I 
12 
1 
-\ 
240 
0 
"158 + 
9_ 
320 
0 
1 
” 15 
+ iTo 
[cos] 
1 
+ - 
2 
2 
3 
4-A 
16 
1 
45 
+ 
_9_ 
16 
22 C 
1 + 
256 
3969 
10240 
2 
+ - 
3 
6 
5 
+ ^ 
45 
[sin] 
1 
+ — 
2 
_ 7_ 
12 
I 
+ 6 
19 
720 
+ 
_9_ 
16 
207 
2 + 
256 
3681 
10240 
2 
+ - 
3 
_ 17 
15 
121 
+ 180 
47—2