Full text: Contenant divers supplèmens à la théorie des fonctions elliptiques (Tome Troisième)

1 i O FONCTIONS ELLIPTIQUES, 
I -f-2<7 + 2Cj^ + 2(j 9 -}-~2(/ lG etc. = 1 
i —2 7 +2 / —2(j 9 —— etc, = I/(“““)» 
1 4- 27* 4- 27'® 
4- 27 36 
4- etc. 
-'W©- 
7* + ? 9 + 7 a5 
4- 7 49 
4~ etc. 
1 4- 27* 4- 27® 4- 27' 
8 4- 27 3a 
4" e tc. 
=v / C- (i+A ' ) ]> 
1 — 27* 4- j 27* — 27' 
18 4- 27 31 
* — etc. 
=v/(t» / 0> 
1 — 27 4 4-27' 6 — 27 
36 4- 27 e4 
— etc. 
-s/e)- {/ce 
/A'), 
1 9 25 
? 4 4- <7 4 4- 7 4 
49 
4- 7 4 
4- etc. 
II 
SIS 
'+?• + / 
+ ?•* 
4- etc. 
=?-va> 
1. 9 2 5 
7° -H 7’ + 
49 
+ ?“ 
4- etc. 
1 4- 7’ 4- 7 3 4" 7* 
! + 7'° 
4- etc. 
=f~W^ Vk )’ 
1 ““ — ? 3 + 
1 + 7" 
— etc. 
= 7-V(*V' H 0’ 
1 — 7 a — 7® 4~ 7* 
a + 7 40 
— etc. 
-*v©-m 
- ✓*'), 
i — 4* 5^ 3 — 77 e -f- 9<7'° — etc. = 27 8 k' \/ k, 
1 — 5^ 6 — 7ÿ ia 4- 97“° — etc. = 
1 — 3<7 4 4- 5<7 ,a — 7ÿ a4 4- 97 40 — etc. = <f~ % (~Y v/(î^ a l/^'), 
7* — 3<7 9 4- 5</ a5 — 7^9 +etc . == Lz±^y[( I 4-^)a v /^]î ) 
I +3</ —5^ 3 —77® 4-g(7 ,0 4-II7 ,5 —etc. = 2q~*(^J{kk' )% 
14-37’—57 e — 7< 7 la 4-97«4-1 17 30 — etc< __ 
etc., etc. 
Nota. La différentiation de ces formules en produirait une infinité 
d’autres, par la substitution
	        
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