234 REPORTS ON THE STATE OF SCIENCE, ETC. 
Bessel Functions. J,(x) and J_;(z). 
From the tables of sin 6 and cos 9, §@ in radians, given in the 1916 and 1924 
Reports of the Committee, values of Ve . sin ¢ and a/ ued . cos x were calculated 
to nine places of decimals from 20-00 to x=1-50 by sat pels of 0-02 and from 
1-5 to 20-0 by 0-1 ; intermediate values were found by interpolation to fifths. 
The results were afterwards employed in completing tables of Fresnel’s Integrals. 
S(z) = 5? J3(x)dx and C(x) = aie J_4(x).dx 
over the range x==0-0 to z=20-0 to nine places of decimals. 
z Hy) | S42) a Kye) | Tye) 
| a ee es 8 | it 5 
0-00 +0-000000 + oc 0-90 +0-658812 : +0-522801 : 
0-02 +0-112830 : +5-640767 : 0-92 +0-661823 +0-503953 
0:04 +0-159534 : +3:986231 : 0-94 +0-664584 +0-485369 
0:06 +0-195324 +3-251488 : 0-96 +0-667098 : +0-467039 
0-08 +0-225435 +2-811925: 0-98 +0-669368 : +0-448952 
0-10 +0-251893 +2-510527 : 1:00 +0-671396 : +0-431099 
0-12 +0-275732 : + 2-286730 : 1-02 +0-673185 : +0-413471 : 
0-14 +0:297567 +2°111572: 1-04 +0-674736 : +0-396062 
0-16 +0°317794 +1-969233 : 1-06 +0-676053 +0-378863 
0-18 +0°336688 : +1-850248 1:08 +0-677136 +0:361869 : 
0-20 +0°354450 : +1-748560 : 1-10 +0-677988 : +0:345074 : 
0-22 +0-371229: +1-660095 1-12 +0-678613 +0-328474 
0-24 +0-387140: +1°581994 1-14 +0-679010: +0°312063 
0-26 +0-402274 : +1-512188 1-16 +0-679183 : +0:295837 : 
0-28 +0-416705 : +1-449137 1-18 +0-679134 : +0:-279794 
0:30 +0-430493 : +1-391668 : 1-20 +0-678865 +0-263929 
0:32 +0-443688 +1-338872 1-22 +0-678378 +0:248239: 
0-34 + 0-456330 : +1-290028 : 1-24 +0-677674: +0:232723 : 
0-36 +0-468457 +1°244562 : 1-26 +0-676757 : +0-217378 : 
0-38 +0-480097 +1-202007 : 1-28 +0-675628 +0:202202 
0-40 +0+491277 +1-161979: 1-30 +0-674289 : +0:187193: 
0-42 +0-502019 : +1-124161 1-32 +0:672743 +0-172350 
0:44 +0-512344 +1-088286 1-34 +0-670991 +0-157672 
0-46 +0-522268 +1-054131 1-36 +0-669036 +0-143157 
0-48 +0-531806 : +1-021505 1-38 +0-666879 : +0-128805 
0-50 +0-540974 +0-990246 1-40 +0-664524 +0°114615 
0-52 +0°549781 : +0-960213 1-42 +0-661971 : +0-100586 : 
0-54 +0-558240: +0-931286 1-44 +0-659224 : +0-086719 
0-56 +0-566360 : +0-903358 : 1-46 +0-656285 +0-073013 
0-58 +0-574150: +0:876340 1-48 +0:653155 : +0-059467 : 
0-60 +0-581618: +0°850149 1-50 +0-649838 +0-046083 
0-62 +0-588771 : +0-824715 1-52 +0-646335 +0-032859 : 
0-64 +0-595616 : +0-799975 1-54 +0-642649 +0-019797 : 
0-66 +0-602159 +0°775873 : 1-56 -+-0-638781 : +0-006897 
0-68 +0-608406 +0-752361 : 1-58 +0-634736 —0-005842 
0-70 +0-614361 +0-729395 1-60 +0-630514 —0-018418 : 
0-72 +0-620030 +0-706935 1-62 +0-626118: —0-030832 
0-74 +0-625417 +0-684946 1-64 +0-621552 —0:043082 : 
0-76 +0-630526 +0-663396 : 1-66 +0:616816 : —0:055168 : 
0-78 +0-635361 +0-642258 1-68 +0-611914: —0-067090 
0-80 +0-639926 +0-621505 : 1-70 +0-606849 —0:078846 : 
0-82 +0-644224 : +0-601116 1-72 +0-601622 —0-090436 : 
0-84 +0-648259 -+0-581068 : 1-74 +0:596236 : —0-101859 : 
0-86 +0-652033 : +0-561345 1-76 +0-590695 —0-113114: 
0-88 -+0-655550 +0-541927 : 1-78 +0-585000 : —0-124201 : 
