Full text: Recueil de formules et de tables numériques

[57] 
XVI, — FONCTIONS ELLIPTIQUES. 
Fonctions du module. 
log/1 
e 
logK 
2 K 
log — 
TT 
log? 
a 
log E 
logE' 
log?' 
, jK ' 
log — 
/3 
log K' 
- — e 
2 
logÆ' 
0? 
0, 
0, 
0, 
0, 
)) 
00 
1961 
0 
)) 
0 
1961 
0000 
0,0000 
CO 
0 
CO 
100 
0,0000 
2,iq6i 
01 
1961 
0 
3,1881 
1 
1961 
ooo3 
1,6131 
5474 
0 
7435 
99 
1.9999 
497 1 
02 
1962 
1 
5,7903 
2 
i960 
0009 
5578 
4894 
I 
6855 
98 
9998 
6781 
03 
1964 
2 
4,1425 
5 
«9 5 9 
0019 
5i 7 4 
4516 
2 
6477 
97 
9995 
7979 
04 
1966 
4 
8928 
9 
'957 
oo3i 
4840 
4227 
3 
6188 
96 
999« 
2,8946 
05 
1968 
7 
4,5865 
13 
1955 
0046 
7,4547 
8989 
5 
5g5i 
95 
'.9987 
2,9786 
06 
1 97 1 
10 
7 45i 
*9 
1902 
0062 
4281 
3 7 86 
7 
8747 
94 
998i 
i,o4o3 
07 
1 974 
i3 
8792 
26 
1948 
0081 
4o35 
36o6 
9 
5568 
93 
9974 
0981 
08 
1978 
•7 
4.9954 
34 
«944 
0100 
38o4 
3446 
12 
5407 
92 
9966 
1,489 
09 
ig83 
22 
3,0981 
43 
1940 
0122 
3585 
3299 
i5 
6260 
91 
9956 
1,1943 
IO 
1988 
27 
3,1899 
54 
1934 
0144 
1 ,3376 
3165 
«9 
6126 
90 
i.994<3 
2353 
11 
1 99^1 
33 
2731 
65 
1929 
0168 
8174 
3o4o 
22 
5ooi 
89 
9935 
2727 
12 
2000 
39 
349. 
77 
1928 
0198 
2978 
2928 
26 
4885 
88 
9922 
8070 
13 
2007 
45 
4190 
9 1 
«9«6 
02I 9 
2787 
2814 
3o 
/,775 
87 
9909 
8887 
14 
2014 
53 
483 9 
io5 
«9°9 
0245 
2602 
2711 
35 
4672 
86 
9894 
1,8682 
15 
2022 
6l 
3,5444 
I 2 I 
1901 
0273 
1,2419 
2613 
39 
4574 
85 
7,9878 
8967 
16 
203o 
69 
6010 
138 
i8q3 
o3oi 
2240 
2520 
44 
4481 
84 
9861 
4214 
17 
2089 
78 
6542 
156 
1884 
0829 
2064 
2432 
49 
4393 
83 
9843 
4456 
18 
2049 
88 
7045 
175 
1876 
o35q 
1890 
2347 
55 
43o8 
82 
9824 
4684 
19 
2069 
98 
7522 
198 
1865 
o388 
1 7 1 9 
2266 
60 
4227 
81 
9804 
1,4900 
20 
2069 
io8 
3.7974 
216 
i854 
0418 
1,1848 
2188 
ee 
4 «49 
80 
1.9782 
5104 
21 
2081 
120 
8466 
288 
1843 
0448 
i38o 
2114 
72 
4075 
79 
9759 
5299 
22 
2oq3 
131 
8818 
262 
1882 
°479 
1212 
2042 
78 
4oo3 
78 
9735 
548.4 
23 
2io5 
144 
9212 
286 
1820 
o5io 
1045 
1972 
84 
3934 
77 
9710 
566o 
24 
2118 
i5 7 
959 1 
3l2 
1807 
o54i 
0879 
1906 
9« 
3867 
76 
9684 
1,5828 
25 
2131 
170 
3,9954 
33 9 
«794 
0872 
7,0714 
1841 
97 
3802 
75 
1,9666 
5 99° 
26 
2146 
184 
2,o3o5 
867 
1781 
o6o3 
0548 
«779 
104 
8740 
74 
9627 
6.44 
27 
2160 
«99 
0642 
896 
«767 
o635 
0384 
1718 
I I I 
8679 
73 
9 5 97 
6292 
28 
2176 
214 
0969 
426 
1782 
0666 
0219 
1660 
118 
8621 
72 
q566 
6434 
29 
2192 
280 
1284 
458 
1787 
0697 
i,oo54 
i6o3 
125 
3564 
71 
9533 
1,6570 
30 
2208 
247 
2,1690 
490 
1721 
0728 
2,9888 
1848 
i33 
35og 
70 
7,9499 
6702 
31 
2225 
264 
1887 
824 
1705 
0789 
9728 
«495 
i4o 
3456 
6® 
9463 
6828 
32 
2243 
282 
2176 
55q 
1689 
0790 
9557 
«443 
148 
3404 
68 
9427 
6g5o 
33 
2262 
3oo 
2454 
5q6 
1671 
0821 
9 3 9o 
«3g3 
155 
3354 
67 
g388 
7068 
34 
228l 
820 
2727 
633 
1654 
0862 
9223 
«344 
i63 
33o5 
66 
9349 
1 ,7 1 81 
35 
2300 
33 9 
2,2992 
672 
i636 
o883 
2,9068 
1296 
«7« 
3258 
65 
1,9808 
7290 
36 
2321 
36o 
8261 
712 
1617 
0918 
8886 
I25o 
«79 
3211 
64 
9265 
7896 
37 
2342 
38i 
35o3 
753 
« 598 
0943 
8716 
I2û5 
IO7 
8167 
6 3 
9221 
7498 
38 
2364 
402 
8780 
79 5 
1078 
0978 
8544 
1162 
ip5 
3l23 
62 
9175 
7^97 
39 
2386 
425 
399« 
889 
1558 
1002 
8372 
1119 
2o3 
3o8o 
61 
9«28 
1,7692 
40 
2409 
448 
2,4227 
884 
1887 
1082 
2,8198 
1078 
21 I 
3o3g 
60 
7,9080 
7785 
41 
2433 
472 
4458 
980 
1516 
1061 
8023 
10Î8 
219 
2999 
59 
9029 
7874 
42 
2458 
496 
4684 
978 
«4g5 
1089 
7846 
998 
228 
2960 
58 
8977 
7960 
43 
2483 
522 
4906 
1027 
1473 
1118 
7667 
960 
236 
292 1 
57 
8928 
8044 
44 
2809 
548 
6124 
1077 
145o 
1146 
7486 
928 
244 
2884 
56 
8868 
1,8128 
45 
2536 
5 ? 4 
2,5338 
1129 
1427 
1178 
2,7804 
887 
252 
2848 
55 
1,8810 
8204 
46 
2563 
602 
554g 
1182 
i4o4 
1200 
7"9 
852 
261 
2818 
54 
8761 
8280 
47 
2691 
63o 
5255 
1236 
i3So 
1227 
6982 
817 
269 
2779 
53 
8690 
8354 
48 
2621 
65g 
5g5g 
1292 
1355 
1264 
6743 
784 
277 
2745 
52 
8627 
8426 
49 
2681 
689 
6109 
«349 
i33i 
1280 
6551 
762 
288 
2718 
51 
8562 
T,84g5 
50 
2681 
0, 
720 
2,6356 
1408 
i3o5 
0, 
i3o5 
0, 
2,6356 
720 
294 
2681 
0, 
50 
0? 
7,8495 
logÆ' 
*—6 
2 
log K' 
2 K' 
log — 
log?' 
a 
logE' 
logE 
log? 
1 2K 
log — 
7T 
/3 
log K 
e 
logÆ 
log — 2,7958 8002; 
logM’îr 5 = 0,2698 6887; 
log^ = 0,3622 i56g. 
Pour k très-petit : 
A 2 
log ? = log — + «, 
logo' = •) 
log? 
log K' = log ^log|^ 
■+■ 1o 8^j _i_ Pi
	        
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