240 
MR . AIRY ON THE THEORETICAL EXPLANATION OF 
Table of the values of 2 — G ( s ) . cos <p (s) -j- G (s') . cos \f(s) — R}. 
s 
Values of R . 
0 ° 
30 ° 
60 ° 
90 ° 
120 ° 
150 ° 
180 ° 
210 ° 
240 ° 
270 ° 
300 ° 
330 ° 
— 4-2 
2-000 
2-050 
2-146 
2-263 
2-368 
2-433 
2-442 
2-392 
2-296 
2-179 
2-074 
2-009 
— 4-1 
2-000 
1-917 
1-885 
1-914 
1-995 
2-108 
2-222 
2-305 
2-337 
2-308 
2-227 
2-114 
- 4-0 
2-000 
1-902 
1-789 
1-693 
1-639 
1-642 
1-700 
1-798 
1 - 9 H 
2-007 
2-061 
2-058 
- 3-9 
2-000 
2-027 
1-995 
1-914 
1-804 
1-696 
1-617 
1-591 
1-623 
1-704 
1-814 
1-922 
— 3-8 
2-000 
2*122 
2*222 
2-273 
2-263 
2-193 
2-084 
1-962 
1-862 
1-811 
1-821 
1-891 
- 3-7 
2-000 
2-066 
2-181 
2-313 
2-428 
2-496 
2-498 
2-432 
2-317 
2-185 
2-070 
2-002 
- 3-6 
2-000 
1-927 
1-921 
1-984 
2-098 
2-233 
2-352 
2-425 
2-431 
2-368 
2-254 
2-119 
- 3-5 
2-000 
1-870 
1-752 
1-676 
1-663 
1-718 
1-824 
1-954 
2-072 
2-148 
2-161 
2-106 
— 3-4 
2-000 
1-960 
1-862 
1-735 
1-613 
1-530 
1-508 
1-548 
1-646 
1-773 
1-895 
1-978 
— 3-3 
2-000 
2-097 
2-132 
2-097 
2-000 
1-868 
1-738 
1-641 
1-606 
1-641 
1-738 
1-870 
- 3*2 
2-000 
2-145 
2-288 
2-391 
2-427 
2-386 
2-378 
2-133 
1-990 
1-887 
1-851 
1-892 
- 3-1 
2-000 
2-060 
2-187 
2-347 
2-496 
2*595 
2-616 
2-556 
2-429 
2-269 
2-120 
2-021 
- 3-0 
2-000 
1-921 
1-923 
2-006 
2-149 
2-313 
2-454 
2-533 
2-531 
2-448 
2-305 
2-141 
- 2-9 
2-000 
1-843 
1-720 
1-664 
1-689 
1-790 
1-938 
2-095 
2-218 
2-274 
2-249 
2-148 
— 2-8 
2-000 
1-890 
1-739 
1-590 
1-482 
1-444 
1-488 
1-598 
1-749 
1-898 
2-006 
2-044 
- 2-7 
2-000 
2-026 
1-966 
1-840 
1-682 
1-534 
1-438 
1-412 
1-472 
1-598 
1-756 
1-904 
- 2-6 
2-000 
2-149 
2-233 
2-230 
2-141 
1-989 
1-816 
1-667 
1-583 
1-586 
1-675 
1-827 
- 2-5 
2-000 
2-186 
2-372 
2-508 
2-558 
2-508 
2-372 
2-186 
2-000 
1-864 
1-814 
1-864 
— 2-4 
2-000 
2-117 
2-303 
2-512 
2-687 
2-781 
2-770 
2-653 
£-467 
2-258 
2-083 
1-989 
- 2-3 
2-000 
1-980 
2-071 
2-249 
2-468 
2-668 
2-796 
2-816 
2-725 
2-547 
2-328 
2-128 
2*2 
2-000 
1-848 
1-797 
1-861 
2-023 
2-238 
2-450 
2-602 
2-653 
2-589 
2-427 
2-212 
— 2-1 
2-000 
1-786 
1-618 
1-540 
1-574 
1711 
1-914 
2-128 
2-296 
2-374 
2-340 
2-203 
— 2-0 
2-000 
1-821 
1-601 
1-412 
1-304 
1-304 
1-426 
1-605 
1-825 
2-014 
2-122 
2-122 
- 1-9 
2-000 
1-925 
1-759 
1-548 
1-348 
1-213 
1-181 
1-257 
1-423 
1-634 
1-834 
1-969 
— 1-8 
2-000 
2-071 
2-020 
1-866 
1-647 
1-425 
1-260 
1-189 
1-240 
1-394 
1-613 
1-835 
— 1*7 
2-000 
2-203 
2-300 
2-267 
2-112 
1-878 
1-628 
1-425 
1-328 
1-361 
1-516 
1-750 
- 1-6 
2-000 
2-284 
2-514 
2-639 
2-599 
2-430 
2-168 
1-884 
1-654 
1-529 
1-569 
1-738 
— 1-5 
2-000 
2-301 
2-619 
2-871 
2-989 
2-941 
2*742 
2-441 
2-123 
1-871 
1-753 
1-801 
— 1*4 
2-000 
2-252 
2-598 
2-948 
3-206 
3-304 
3-318 
2-966 
2-620 
2-270 
2-012 
1-914 
— 1-3 
2-000 
2-150 
2-461 
2-851 
3-217 
3-460 
3-516 
3-366 
3-055 
2-665 
2-299 
2-056 
— 1-2 
2-000 
2-015 
2-240 
2-615 
3-041 
3-402 
3-604 
3-589 
3-364 
2-989 
2-563 
2-202 
— 1-1 
2-000 
1-874 
1-979 
2-288 
2-719 
3-157 
3-486 
3-612 
3-507 
3-198 
2-767 
2-329 
— 1-0 
2-000 
1-740 
1-709 
1-918 
2-309 
2-778 
3-202 
3-462 
3-493 
3-284 
2-893 
2-424 
- 0-9 
2-000 
1-626 
1-461 
1-548 
1-863 
2-323 
2-802 
3-176 
3-341 
3-254 
2-939 
2-479 
- 0-8 
2-000 
1-548 
1-263 
1-221 
1-433 
1-842 
2-338 
2-790 
3-075 
3-117 
2-905 
2-496 
- 0-7 
2-000 
1-496 
1-113 
0-946 
1-042 
1-373 
1-852 
2-350 
2-733 
2-900 
2-804 
2-473 
- 0-6 
2-000 
1-490 
1-036 
0-759 
0-734 
0-969 
1-400 
1-910 
2-364 
2-641 
2-666 
2-431 
— 0*5 
2-000 
1-504 
1-006 
0-639 
0-500 
0-628 
0-986 
1-482 
1-980 
2-347 
2-486 
2-358 
-°-4 
2-000 
1-545 
1-029 
0-590 
0-347 
0-364 
0-636 
1-091 
1-607 
2*046 
2-289 
2-272 
- 0-3 
2-000 
1-604 
1-095 
0-609 
0-275 
0-184 
0-360 
0-756 
1-265 
1-751 
2-085 
2-176 
— 0-2 
2-000 
1-681 
1-200 
0-688 
0-281 
0-087 
0-160 
0-479 
0-960 
1-472 
1-879 
2-073 
- 0-1 
2-000 
1-769 
1-338 
0-821 
0-358 
0-072 
0-040 
0-271 
0-702 
1-219 
1-682 
1-968 
0-0 
2-000 
1-866 
1-500 
1-000 
0-500 
0-134 
0-000 
0-134 
0-500 
1-000 
1-500 
1-866 
+ 0-1 
2-000 
1-968 
1-682 
1-219 
0-702 
0-271 
0-040 
0-072 
0-358 
0-821 
1-338 
1-769 
+ 0-2 
2-000 
2-073 
1-879 
1-472 
0-960 
0-479 
0-160 
0 087 
0-281 
0-688 
1-200 
1-681 
+ 0-3 
2-000 
2-176 
2-085 
1-751 
1-265 
0-756 
0-360 
0-184 
0-275 
0-609 
1-095 
1-604 
+ 0-4 
2-000 
2-272 
2-289 
2-046 
1-607 
1-091 
0-636 
0-364 
0-347 
0-590 
1-029 
1 -545 
+ 0-5 
2-000 
2-358 
2-486 
2-347 
1-980 
1-482 
0-986 
0-628 
0-500 
0-639 
1-006 
1-504 
+ 0-6 
2-000 
2-431 
2-666 
2-641 
2-364 
1-910 
1-400 
0-969 
0-734 
0-759 
1-036 
1-490 
4 - 0-7 
2-000 
2-4 73 
2-804 
2-900 
2-733 
2-350 
1-852 
1-373 
1-042 
0-946 
1-113 
1-496 
4 - 0-8 
2-000 
2-496 
2-905 
3-117 
3-075 
2-790 
2-338 
1-842 
1-433 
1-221 
1-263 
1-548 
4 - 0-9 
2-000 
2-479 
2-939 
3-254 
3-341 
3-176 
2-802 
2-323 
1-863 
1-548 
1-461 
1-626 
4 - 1-0 
2-000 
2*424 
2-893 
3-284 
3-493 
3-462 
3-202 
2-778 
2-309 
1-918 
1-709 
1-740 
-+- 1*1 
2-000 
2-329 
2-767 
3-198 
3-507 
3-6 1 2 
3-486 
3-157 
2-719 
2-288 
1-979 
1-874 
4 - 1-2 
2-000 
2-202 
2-563 
2-989 
3-364 
3-589 
3-604 
3-402 
3 - 04 ! 
2-615 
2*240 
2-015 
4 - 1*3 
2-000 
2-056 
2-299 
2-665 
3-055 
3-366 
3-516 
3-460 
3-217 
2-851 
2-461 
2-150 
