434 
ME. C. W. MEEEiriELD ON A NEW METHOD OF APPEOXHVIATION 
Table of the value of the function log A(5, a) or log -/(I — sin^fi . sin^^y) for four values 
of a;, viz. 22° 30', 45°, 67° 30', and 90°. 
6. 
logA((l, 22° 30'). 
log A (^, 45°). 
logA((>, 67° 30'). 
log cos 
0 
1 
9-99999 03138 
9-99996 69274 
9-99994 35386 
9-99993 38497 
0 
1 
2 
9-99996 12643 
9-99986 77197 
9-99977 41349 
9-99973 53589 
2 
! 3 
9-99991 28792 
9-99970 24074 
9-99949 17311 
9-99940 44063 
3 
1 4 
9-99984 52048 
9-99947 10407 
9-99909 62308 
9-99894 07898 
4 
1 5 
9-99975 83051 
9-99917 36910 
9-99858 74990 
9-99834 42260 
5 
i ^ 
9-99965 22633 
9-99881 04507 
9-99796 53618 
9-99761 43489 
6 
7 
9-99952 71805 
9-99838 14325 
9-99722 96070 
9-99675 07098 
7 
8 
9-99938 31764 
9-99788 67716 
9-99637 99831 
9-99575 27754 
8 
9 
9-99922 03891 
9-99732 66254 
9-99541 62004 
9-99461 99270 
9 
10 
9-99903 89748 
9-99670 11740 
9-99433 79300 
9-99335 14589 
10 
1 1 
9-99883 91084 
9-99601 06211 
9-99313 48042 
9-99194 65764 
11 
12 
9-99862 09825 
9-99525 51957 
9-99183 64168 
9-99040 43940 
12 
13 
9-99838 48090 
9-99443 51515 
9-99041 23213 
9-98872 39328 
13 
14 
9-99813 08170 
9-99355 07689 
9-98887 20337 
9-98690 41185 
14 
15 
9-99785 92542 
9-99260 23560 
9-98721 50300 
9-98494 37781 
15 
16 
9-99757 03868 
9-99159 02501 
9-98544 07479 
9-98284 16370 
16 
17 
9-99726 44986 
9-99051 48183 
9-98354 85857 
9-98059 63156 
17 
18 
9-99694 18915 
9-98937 64594 
9-98153 79027 
9-97820 63255 
18 
19 
9-99660 28857 
9 98817 56060 
9-97940 80200 
9-97567 00654 
19 
20 
9-99624 78189 
9-98691 27246 
9-97715 82198 
9-97298 58164 
20 
21 
9-99587 70469 
9-98558 83197 
9-97478 77462 
9-97015 17377 
21 
22 
9-99549 09429 
9-98420 29331 
9-97229 58056 
9-96716 58605 
22 
23 
9-99508 98979 
9-98275 71478 
9-96968 15661 
9-96402 60827 
23 
24 
9-99467 43204 
9-98125 15899 
9-96694 41603 
9-96073 01625 
24 
25 
9-99424 46358 
9-97968 69297 
9-96408 26837 
9-95727 57115 
25 
26 
9-99380 12870 
9-97806 38852 
9-96109 61968 
9-95366 01 869 
26 
27 
9-99334 47337 
9-97638 32245 
9-95798 37258 
9-94988 08840 
27 
28 
9-99287 54524 
9-97464 57677 
9-95474 42643 
9-94593 49269 
28 
29 
9-99239 39363 
9-97285 23905 
9-95137 67741 
9-94181 92587 
29 
30 
9-99190 06948 
9-97100 40265 
9-94788 01877 
9-93753 06317 
30 
31 
9-99139 62526 
9-96910 16705 
9-94425 34100 
9-93306 55951 
31 
32 
9-99088 11517 
9-96714 63813 
9-94049 53211 
9-92842 04835 
32 
33 
9-99035 59484 
9-96513 92852 
9-93660 47788 
9-92359 14023 
33 
34 
9-98982 12144 
9-96308 15797 
9-93258 06231 
9-91857 42135 
34 
35 
9-98927 75363 
9-96097 45359 
9-92842 16784 
9-91336 45194 
35 
36 
9-98872 55150 
9-95881 95031 
9-92412 67607 
9-90795 76446 
36 
37 
9-98816 57654 
9-95661 79121 
9-91969 46797 
9-90234 86165 
37 
38 
9-98759 89157 
9-95437 12781 
9-91512 42488 
9-89653 21441 
38 
: 39 
9-98702 56072 
9-95208 12065 
9-91041 42888 
9-89050 25944 
39 
I 40 
9-98644 64943 
9-94974 93945 
9-90556 36388 
9-88425 39665 
40 
41 
9-98586 22425 
9-94737 76364 
9-90057 11640 
9-87777 98629 
41 
42 
9-98527 35294 
9-94496 78273 
9-89543 57674 
9-87107 34581 
42 
43 
9-98468 10429 
9-94252 19663 
9-89015 64024 
9-86412 74638 
43 
44 
9-98408 54812 
9-94004 21611 
9-88473 20869 
9-85693 40901 
44 
45 
9-98348 75524 
9-93753 06317 
9-87916 19193 
9-84948 50022 
45 
