288 MESSRS. PROUDMAN, POODSON, AND KENNEDY ON THE DIFFRACTION OF 
Table VII. 
(-l)V(2«+l).f^|.P B . Ka = 10. 
I & n \ 
n. 
0°. 
10 c . 
20°. 
30°. 
45°. 
o 
o 
< x > 
70°. 
80°. 
CO 
o 
o 
1 
- 1-44192 
- 1-37588 
- 1-26800 
- 1 • 03533 
-0-73208 
-0-50077 
-0-25425 
o-ooooo 
9 
aJ 
-2-34579 
-2-02582 
- 1-53557 
-0-61423 
+ 0-30711 
+ 0-79735 
+ 1-11733 
+ 1-22848 
3 
-2-22234 
- 1-62274 
-0-79261 
+ 0-43145 
+ 1-06778 
+ 1-00800 
+ 0-60377 
o-ooooo 
4 
+ 0-22206 
+ 0- 12362 
+ 0-00610 
-0-10573 
-0-07523 
-0-00099 
+ 0-06921 
+ 0-09760 
5 
+ 3-87374 
+ 1-34147 
-1-10319 
- 1-85609 
+ 0-44393 
+ 1-62098 
+ 1-38851 
0-00000 
6 
+ 3-01592 
+ 0-30783 
-1-60125 
-0-63548 
+ 1-38385 
+ 0-89423 
-0-56563 
- 1-33786 
7 
-3-53118 
+ 0-61423 
+ 2-34963 
-0-72783 
- 1-27826 
+ 0 • 85080 
+ 1-62387 
o • 00000 
8 
- 1-47717 
+ 0-71287 
+ 0-95896 
-0-84450 
+ 0-20845 
+ 0-78697 
-0-06598 
-0-77403 
9 
+ 3-51868 
-2-92698 
- 1-57772 
+ 2-37635 
-2-22956 
-0-39602 
+ 2-16073 
0-00000 
10 
-2-95679 
+ 3-69114 
+ 0-06474 
- 1 • 05886 
+ 1-73145 
-2-01716 
-0-59498 
+ 2-26371 
11 
+ 1-18662 
-2-15849 
+ 0-86690 
-0-56200 
+ 0-34455 
+1-00575 
- 1-15752 
0-00000 
12 
-0-19247 
+ 0-56331 
-0-43616 
+ 0-39388 
-0-37318 
+ 0-12579 
+ 0-20867 
-0-36014 
13 
+ 0-00884 
-0-09382 
+ 0-10725 
-0-08670 
+ 0-05799 
-0-07831 
+ 0-05401 
0-00000 
14 
+ 0-00404 
+ 0-01002 
-0-01633 
+ 0-00615 
+ 0-00361 
+ 0-00471 
-0-01094 
+ 0-01323 
15 
-0-00139 
-0-00036 
+ 0-00141 
+ 0-00087 
-0-00201 
+ 0-00153 
-0-00082 
0-00000 
16 
+ 0-00027 
-o-oooio 
-o-ooooo 
-0-00027 
+ 0-00019 
-0-00022 
+ 0 • 00024 
-0-00024 
17 
-0-00004 
+ 0-00002 
-0-00002 
+ 0-00003 
+ 0-00001 
-0-00000 
-0-00000 
o-ooooo 
c\ 
+ 1-39101 
-6-22255 
- 1-41635 
- 1• 45925 
- 2-32765 
+ 3-51196 
+ 4-41830 
0 • 00000 
C' 2 
- 3-72993 
+ 3-38287 
-2-55951 
-2-85904 
+ 3-18625 
+ 0-59068 
+ 0-15792 
+ 1-13075 
Table VIII. 
(-l)*.(2n + l).|^4,.P.. «o = 10. 
n . 
0 ' 3 . 
10 °. 
20 °. 
0 
o 
co 
45 °. 
OS 
O 
o 
70 °. 
0 
o 
GO 
CO 
o 
0 
1 
1-15625 
- 1 
10329 
-1 
01679 
-0 
83021 
-0 
58704 
-0 
40156 
- 0-20388 
0 
00000 
2 
+ 
1-94572 
+ 1 
68031 
+ 1 
27368 
+ 0 
50947 
-0 
25474 
-0 
66136 
- 0-92677 
-1 
01895 
3 
— 
5-47142 
-3 
99521 
-1 
95142 
+ 1 
06223 
+ 2 
62888 
+ 2 
48170 
+ 1-48648 
0 
00000 
4 
+ 
0-00643 
+ 0 
00358 
+ 0 
00018 
-0 
00306 
-0 
00218 
-0 
00003 
+ 0-00200 
+ 0 
00282 
5 
- 
6-20597 
— 2 
14912 
+ i 
76738 
+ 2 
97358 
-0 
71120 
— 2 
59693 
- 2-22449 
0 
00000 
6 
+ 
8-02454 
+ 0 
81905 
-4 
26049 
- 1 
69083 
+ 3 
68205 
+ 2 
37930 
- 1-50498 
- 3 
55967 
7 
- 
1-63904 
+ 0 
28510 
+ 1 
09061 
-0 
33783 
-0 
59332 
+ 0 
39491 
+ 0-75374 
0 
00000 
8 
+ 
0-25319 
-0 
12219 
-0 
16437 
+ 0 
14475 
-0 
03573 
-0 
13489 
+ 0-01131 
+ 0 
13267 
9 
- 
2-07970 
+ 1 
72998 
+ 0 
93250 
-1 
40453 
+ 1 
31777 
+ 0 
23407 
- 1-27709 
0 
00000 
10 
+ 
1 - 747.59 
-2 
18162 
-0 
03826 
+ 0 
62584 
- 1 
02336 
+ 1 
19223 
+ 0-35166 
-1 
33795 
11 
- 
0-29624 
+ 0 
53763 
-0 
21592 
+ 0 
13998 
-0 
08582 
-0 
25051 
+ 0-28831 
0 
00000 
12 
+ 
0-01234 
-0 
03612 
+ 0 
02797 
-0 
02526 
+ 0 
02393 
-0 
00807 
- 0-01338 
+ 0 
02309 
13 
- 
0-00011 
+ 0 
00122 
-0 
00139 
+ 0 
00108 
-0 
00075 
+ 0 
00101 
- 0-00070 
0 
00000 
14 
15 
16 
o-ooooi 
-0 
00002 
+ 0 
00004 
-0 
00001 
+ 0 
00001 
-0 
00001 
+ 0-00002 
-0 
00003 
Vi 
16-84873 
-4 
■69369 
+ 0 
•60497 
+ 1 
■60430 
+ 1 
•96852 
-0 
•13731 
- 1-17763 
0 
•00000 
D's 
+ 11-98980 
+ 0 
•16299 
-3 
• 16125 
-0 
■43910 
+ 2 
•38996 
+ 2 
•76717 
- 2-08014 
-5 
•75802 
Note .—The gaps in Tables Y. to VIII. corresponding to 6 = 0 are left owing to the fact that the entries would be 
just double the corresponding entries in Tables I. to IY. respectively, as is shown at the end of § 2. 
