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Title Research on the secondary scattering at sunrise and sunset.
Author(s) Sato, Takao
Citation 長崎大学学芸学部自然科学研究報告. vol.16, p.53-86; 1965
Issue Date 1965-02-28
URL http://hdl.handle.net/10069/33179
Right
NAOSITE: Nagasaki University's Academic Output SITE
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Sci. Bull. Fac. Lib. Arts and Educ, Nagasaki Univ., No. 16,pp.53-86 (1965)
Research on the Secondary Scattering at Sunrise
and Sunset
Takao SATO
Nagasaki University
(Manuscript received Nov. 14, 1964)
Introduction
S. Chandrasekhar has developed a method basing on the problem of radia-
tive transfer in solving all orders of scattering in a plane parallel atmosphere
of infinite lateral extent of finite depth on the supposition that the phase
function can be expanded by Legendre polynominal. While Sato researched the
problem considering the earths atmosphere of 40 km depth, composed of 4サ105
uumbers of homogeneous spherical shell of 10 cm thickness because he has
calculated the atmospheric density by the accuracy of 10 cm height.
He has prevailed moreover that the phase function can be exactely ex-
pressed by the formula
72 n
甘sinz(on +甘sin'nn
, here n representing the order of the scattering 1. e n- 1 corresponding to
the primary, n- 2 to the secondary scattering etc.
Strictly speaking Chandrasekhar s method can not be applied for the scatter-
ing of any order concluding the primary in the low altitude of the sun for all
over the whole sky, and even if the sun′s altitude is high enough, it is not
applicable for the sky domain especially near the horizon for all orders of
scattering on account of his assumption for the earth!s atmosphere. The main
object to publish this paper is to give precise tables which are called Table 7
in Ref. 4), being not given in it for the convenience of restriction. However to
give abruptly the Table only may be offensive to understand this paper, then
the superposition of some portions in both papers would be permissible.
1. The model of the earth′s atmosphere
As is explained in Introduction the author has restricted the depth of the
earth's atmosphere t0 40 km ln our problem it is indispensable to know the
vertical distribution of atmospheric density. Humphreys gave it at I km inter-
val in summer and winter up to the hei*･ht of 40 km in Ref. I ). The author
then adopted the mean values of the two as already stated in p. 12 in Ref. 2 ).
According to this treatment the density at 40 km amounts to 4glm3. It is
therefore sufficient to regard 40 km height as the upper limit of the earth's
atmosphere in the question of optical meteorology.
2. Some notations
Let O be the earth's centre and O' be any point on its surface. Take a
point E in the s',ry dome of O'. We have divided the lines in the atmosphe-~e
intv foLrr e,~tlal parts which pass through O' at the altitude of 0=30*, 60*, and
900. Let E, , E2' E. be the dividing points. Then Eo is identical with O' and
E rs on the upper llmit. Consider a point T exposed to the direct solar ray
in the atrnosphere which can be seen from En (n= O - 4 ). Let A be the angle
between two planes OO'E and the vertical plane at O' containing the sun's
ceutre. Let ICO-Fr=6t, and Al be the angle between two planes OET and OO'E.
Now we divide the sun's total energy into twel-ve ranges denoted by A] A2"""
"'112 such that the partial energy in each ranb"e rs equal I Io here lo be-1~;D 2'
ing the solar constant and D the distance of the earth from the. sun.
3 . Numerical calculatiou
The evaluation has been executed for 900 interval ot A between 0<_A~~
and 900 interval of A1 between O~A1~271. The value of C1 of the line tan-
gential to the earth's surface is denoted by 61'. We have the following second-
ary scattering intensity, given in Table 1. In the cases of A=0 and A=7r, the
7r nd A ~ are rdentrcal wrth each other all 6 , E,8, 6 t as ex-values for Al=-2
plained in Ref. 3).
Ref erences
l) Humphreys : Physics of the Air. p. 66.
2 ) T. Sato : Studies on the scatterins of the sun's light by the earth's atmosphere.
Science Rep. , Tohoku Univ. . Series 5, Geophysics, Vol.2, No. I March, 1950.
5 ) T. Sato : On the polarization angle in the scattering problem. Jour. Met. soc. Japan,
Vol. 54, No. 2. 1956
4) T. Sato : The Contribution of the Intensity in Scattered Light of Each Wavelength
to the Sky T,ight at Sunrise and Sunset. Ioc. cit., Vol. 59, No. 5. 1961
A
O
Research on the Secondary Scattering at Sunrise and Sunset 55
Explanation of the Table
Secondary scattering intensity received at a point O' on the earth's surface
from an air portion of I m thickness with its centre at E bounded by one
steradian with its axis at (6.A) direction and its vertex at O', whose air por-
tion being expo~>ed to primary scattering coming from one steradian with its
vertex at E and the axis at (e,,Af)' here e:' column is applied to the lir*e
section on the tangential line from E to the earthfs surface between E ar*d the
tangential point on the surface, and Oi" column is applied to the section be-
tween the latter point and the intersecting point of the upper limit of the
atmosphere with the tangential line. The sign 61'/' corresponds to the sum of
IQ both values of e *' and ete'. The partial domain is expressed in 10~ ur*it
12D2 ' the total domain given in the last column is the sum of partial divided by 12,
I i. e. expressed in 02 lO~ unit.
D
There are some 6 t" columns expressed by the sign s, each of which
expresses that the section is in the shadow of the earth's body.
Table I 0=50, Eo + nof
At
O
7t
~
¥¥A ~
0~¥~O ~
90 95
lOO l 05
llO ll5 120 150 180
90 95
lOO l C5
llO l 15
l 20
150
90 95
l OO
l 05
llO ll5 120 l 50
l
l 0-7 2 7 8 9 10 Il 12 5 4 6 5
lO 7 10 7 l0-7 l0-7 lO-7 10 7 10 7 10 * 10 8 10 9 10 It
Total
l0-7
O . 1 9･ I O- '
226 ll85 l ~ 9~
1467 1476 l 478
765 589
85 l 528
l 956
l 976
1708 l 474
l 275
545 405
704 2270 1955 l 801
1460 l 218
l 020
417 509
l 720
21 80
1550 l 280
lOll 822 682 274 201
2275 l 672
l 084
825 657 515 425 169 l 24
2065 l O 92
664 484 570 295 244 96 71
l 493
6Sl 690 274 208 166 157 S4 59
7~1 5054 275 Ia42 157 592 l09 410 85 509 66 246 54 202 21 79 16 58
l O 92
554 l 99
l 58
l04 82 68 27 19
l 588
451 242 l 67
125 99 82 52 25
2146 655 566 2S2 l 90
l 50
l 24
49 55
･ 91~ 8561 7500 6862 5822 5055 4451 l 958
l 468
O . 84. I 0-3
52 298 475 524 571 587 594
9
41 5
627 671 620 575 555 424
118 669 674 645 554 490 445 527
591 71 4
560 478 596 542 504 215
641 596 408 520 257 21 9
l 92
155
662 408 257 l 91
l 52
l 28
lll 76
525 252 l 54
llO 86 72 65 42
279 1222 l09 426 65 259 44 167 55 150 29 108 2S 9~ 17 6~
450 l 45
81 56 44 56 ~1 21
587 178 98 68 56 44 ~8 25
91 9
270 149 l 05
80 66 57 58
2550 2728 2S62 2462 2202 2054 l 894
l 561
O . I O･ I O-=
24 556 71 O
701 767 720 6~2
5.77 142 921
l018 905 797 697 448
72 829
l 086
l C55
852 710 598 547
268 l086 986 81 S
655 508 425 229
557 l 058
759 569 427 555 272 l 42
702 772 498 550 25 7
l 98
160 81
675 501 505 204 148 ll5 91
45
448 2260 225 908 127 489 85 517 60 226 46 172 56 156 18 67
919 1508 2131 515 591 598 166 205 509 l07 150 198 76 92 140 58 70 106 46 55 84 22 27 41
2551 5955 42S5 4021 5647 2915 25 1 5
1618
56 Takao SムTO
A
互
2
π
AI
0
筏
2
π
5一π2
O
丑
2
π
n of
横命ミo㎜
9095
工00
105ユユ0
115120150180
9095
100105ヱ10
1ユ5
120ヱ50
90
95工00
105110115120150
9095
100105110ヱ15
120150
9095
100105110115120ユ50
9095
100工05
110工15
120150180
90
95100105110115120150
1ユ0－7
210－7
510『7
4 5 6 7 8 9 10 1110－710噸7 10一7
12Total
10一710、710『〕10－8ユ0一910一“ 10『7
0．84・10一3 57
547
578 649
709
ワ25
477
148
8．86・loo 455
751
817
767
715
658
540
101
11875178578568560954526277
ろ91
780654581490425575工72
50
64165247658951927125610751
66244650025518815915761
18
525 279 工222 450 587
275 ユユ9 462 158 194
179 75 279 94 115
154 54 205 69 85
ユ07 45 ユ6ユ 54 66
89 56154 45 55 77 51 115 59 47
54 ユ5 50 17 2010 4 14 5 6
91929517412699
827151
9
2550
298ユ298629982725252625501227567
0．58・10－3 15
224
467
478
542
522
502
5．29・100 85
578
671
619
565
504
217
41
495681680582502455168
155650619557454さ59
506ユ1ヱ
507621476574292255工97
69
401461515250ヱ76
1401工6
59
5852561291525747500 154 545 188 254
191 80 507 ユ04 ユ28
エ54 55208 71 86ヱ01 41 ヱ55 52 65
80 52 121 41 49
66 26 98 55 ≧0
22 9 52 11 ユ5
1218558194150
96
75
61
20
1446256426702647228720581820785
0．84・工〇一3
47
251 510
275
255 181
0
8．86・100 570
486
458
525
255
165
0
118597522419290200156 0
59165745451120614094
6415525162091558959
662564199工25
805254
525 279 エ222 450225 97 5ワ7 ユ29
1エ9 49工85 65 72 29 109 57
45 18 68 25
29 12 44 15
19 8 29 10
5871597644281812
91924111667422718
25502454198516071155850585
0
0．11・10一1 122
629
719
741
755
727
515
48
85810271020865754626222
4021246
工056950758607501171
9851196822661511409555↓12
1299918575426522255209
69
ll79600552250187ユ47
120 59
8554171745624795557 150 572 ユ94 256
207 85 5工4 工06 工28
141 57 212 71 86105 42 156 52 65
82 55 ユ22 41 50
67 27 99 55 40
22 9 52 1工 15
1226558工94
150 96
75
61
20
452245885979552829422516218880工
0．10。10『2
27
422
906
947
1089
1061
758
5．77・100 155
1090
1299
1225
1151
1027
551
72
9051285151811521007882412
268118411671040859720625272
5571151898725577472401168
70284158944654828125696
675 448 2260 919 1508546 245 989 545 426
560151578197241260 106 404 157 166
200 81 506 105 125160 65 245 82 99
155 55 200 68 82
54 21 79 27 52
2151652565252190工50
124 49
2551450850555150452641525705
ユ919
1（1entical with ・・餐）
019・10『1 205
1002
1092
1084
1041
1004
645
85
14021657154912651059864457
7042085165工14工21079859695ろ52
1720200015101004747579465251
22751555916647471561289142
20651005562ろ79
275208ヱ65
8ユ
］495597550215154117
95
45
7512501558661
465718
5054956500522229175157
67
1092524169108
77
58
46
22
1588595204151
95
70
56
27
2146599509198140106
84
41
79157675654255574505556250221650
57
Table 2 θ＝50，E霊
A
0
A！
O
互
2
π
甑，漣
0
50
60
65
70
75
80
85
％（85＋θ1’ θ1’
θiノ
θ！”’
％（90＋θ1’ 90
95
100
105
110
115
120
150
180
50
60
65
70
75
8e
85
％（85＋θド θ1’
θ1”
θ！”’
双90＋θ1’ 90
95
100
105
110
H5
120
150
50
60
65
70
75
80
85
％（85＋θ！’
θ雪’
θ1”
慰90＋θ1’ 90
95
100
105
110
115
120
150
110－8
210－8
510｛8
410－8
510一8
6 ワ
10一8ユ0一8
810－9
910－9
10
10－9
11 12
10一1010一12
Tota1
10一3
12 156 254 15 165 279 51 546 585 45 455 756 57 578 976 75 8401416 11712912206 26029285155 525 5720 6552
4工050209170 0 0 145 4ヱ0 5020 95ユ5
8861084217951 4125 19904 2115715008146241047512196 9916 6492
970771664576 7958 5192 5525
70］．044162805 5571 5755 2524 2599 1540 950
工681工08ユ 670
246 201 154 85 550
290 257 158 96 407 606 492 528 199 840
768 624 417 255 工067
1016 824 549 555 ユ404
1475 1195 797 485 2057
2528 1907 1280 779 5292
54654490502118417798 7047 5877 4005 2458 10496
工0684 98b5 7408 4902 22δ97
859 2050 2822 2676 16904ユユ525 ユユ9ユ5 ユ〔）250 7578 5905ユ
ェ7657 15444 8498 4955 2009115724 9440 5155 2758 ユOl87
6098 5555 1666 842 5004
56141907 9464741678 2516 1521 655 527 1ユ55
1846 988 495 249 889
1558 829 415 209 748
1265 658 524 162 571
515 266 151 65 250
565 189 95 46 165
155 46 56 86 156 55 64 99 522 110 154 204
409 159 170 257 558 185 224 540
780 265 525 495
1262 450 526 799
2994 1021 ユ249 1898
4048 1584 1698 2585
9158 5218 4051 6254
8158 5177 4556 6962
ユ7276 6595 8407 ユ5］96
7514 25工9 5041 4592
5625 1180 ユ589 2〔」75
工045 555 590 579 581 186 216 520 400 128 ユ48 220
508 99 1工5 171
259 85 96 145
197 65 75 109
79 25 50 44
56 18 21 51
917
108522612865578954958675
2067126510424979505
51999642286644742072298272205016800工44581176449165455
15
20
27
51
55
50
95
115118
0
工18
205666
459ろ414955655091287524221815
149218255297586558965
11051547 0
1547259250265554572028002122189416781189
252570450469655917
167219482415 5
241846256746411725201826157512191059740
265 217 146 89 580
590 521 2ユ7 ユ55 568
454 574 252 155 659
556 445 50工 185 790 694 577 595 242 1040
984 827 571555 15561846 1609 ユ150 755 5267
2641 1975 エ447 941 4266
28582800250216598455 79 559 995774537929575159529524551455252554512510419108152540455582055110942282449 1542 681 546 1240
1450 775 581 194 682
1014 555 266工55 475 775 4ユδ 208 105 576
682 564 185 92 528
580 505 150 75 264
401 209 105 51 181
1462192545054025971295170956555158679151591526451257工65
1501⊥4
91
65
50 61 95 75 92 工40 87 107 165
104 128 195
158 170 258 206 255 586
450 560 857598 750 1！511545175727511501187750692644 5654 5820
107115151995 501 594 889
159 162 240
76 88 工51 52 61 90 42 49 75 57 45 65 29 54 50 20 25 55
992
ユ4651706
工9852619575271478665
12585270工
150851957420978158891ユ05585086788615052545779
17
40
54
64
81
116216269224
S584422
6704696059795028451755271887
184 51工458 748559 925649 1工16
842 14511155 19271820 5051
1992 5265
2292 5829
29974，515
ユ0595697550425592295025871255
49247010856549255ろ642ろ6519161520782
528 271 185 1ユ2 4ワ9
796 664 454 281 1208
978 8工1 555 542 ユ474
1188 991 681 425 1850
1548 1506 901 565 2447
2065 1754 1254 782 15467
5665 50工9 2252 1500 70ヱ6
5595 52工8 2597 1595 7442
4140 5695 2776 1871 8912
5598701951452855189515571079857426
48505507287215501007720578459222
569155Z5
ユ477777502561290217109
2550
2工27748402252182ユ46
109 54
125858796
27工9工405
895
655
525
585
195
工85
468572ワ15
9561572287550495701
52586529950487511227182155
67
65
161工97
245550478
ヱ02210841528
19181125606156ユ00
75
58
45
21
78 118
197 501242 570505 462408 622596 915
ヱ299 2008
ユ577 2129：Lワ02 2640
24971567557182116
85
68
49
25
59042069551270172126101
74
57
125550075689449458727958
156051458116866
22296260955025520541ユ514511405946174125971
58 Takao SムTO
Table 3 θ＝50，E1
A
丑
2
A1
0
丑
2
π
甑，≧避
0
50
60
65
ワ0
75
80
85
％（85＋θ1’ θf’
θ1”
θ1’”
％（90＋θ1’ 90
95
100
105
110
115
120
150
180
50
60
65
70
75
80
85
％（85＋θ1’）
θ霊’
θ貿”
％（90＋θ1’）
90
95
100
105
110
115
120
150
50
60
65
70
75
80
85
ヲ鼠85＋θ！り θ！’
θ1”
θ1’”
痴90＋θ1’ 90
95
100
105
110
115
120
150
1 2 510q8玉0－810－8
4 510一910－9
610一9
ワ
10、9
8 9lG『lOlO『電o
10
lG『11
11 12
lG『竃210－13
Tota1
10一8
2 29 52 568 0 0 0 0 5 56100工094 8 87工56工698 12 150 255 2565
172115774140 285546557028 59 692 ユ285 14814
75850157618528 80 ユ070 20ユ0 24484
0 0 4 627 80107020142511114720144070480475484909658452210
4575 5720 4520 260ユ9 457 4170 2847 工62994046 5249 2090 工20515594 2599 1576 89625402 2259 1466 82492812 1985 1265 6985
15769185765151595261164 894
477 527 204 867 556 0 0 0 0 0 922 656 ろ95 1ワD5 665 工455 990 615 2647 工026
2！751507 955 40501575552824471550 665525856052424526701166845651555285ユ565202850711577168211255582725800015545244892047H4952770595555ユ28565761688555265287542754526252218151505026228542018 29229 18142 77929 50125
40885199901095541945151681457876575746154584690 8744 4595 2220 7900 2ワ42
65975ヱ96工607 57Hユ9794855244ワ1244 44651555444022451155 4054ユ4165677ユ821 9ユ5 524211211648 817 409 工448 499 468 252 118 409 141
1155 1407 218 2ユ2
0 0 0 0 22ワ0 2815 42ワ 409
5528 4558 665 658 5407 66741017 965 8894109871675 1559 15772 19522 2978 2665
59754496687618 56495599067918工0451 7244
ユ25974 ユ62804 25542 ユ07D5
1ユ9951 175927 28507 2ユ45
245925 556751 54049 12848105099 126575 ユ9259 17642 49858 59202 8867 20727
ユ509117615261516468 8805 10260 152ユ 12595
6556 7400 工094 9827
4994 5811 865 7654 4545 5266 785 7528
5596 4177 617 6508 工607 1861 277 2911
454 545 77 851
5 65
16 191
20 255
24 287
52 580
46 556
88 819
110 950 881059
S l60 ユ689 2555
166197554045456584047594059 4191 29875555 5128 21245297 2425 ユ6142859 1989 15072281 1665 1074
88559157ユ
11612581055 726 449559 5696512421611548
418 4508 5800 2655 ユ645
50955454699527520666767427656ユ445828069581052490626415408114291610814510107787128ユ590 18155 16548 12594 8295
18562057518750↓42519661
1950 749 2651 5178 48158452279 7841 967014767ユ642801 96701ユ986工825
9005 5552 12217 工5ユ64 2515
ユ2517485516754207485175181妬7ユ91250205ユ190478155055154474761160246929858885 15954 56ワ91 ワ2251 11168
46226ユ92416914488666ユ5765
267722452118918151126450955ワ1628965195工5116864915229655ユ680586944472ヱ56951750695ろ948512456 877612126651552691648 58799216500825551285 46047409400420251051 568659475142工562 785 278520541071 527 265 955
471159017022098282040256429ワ5208551
2749410047515088820484110591877765869779971184015219 5670 ユ8296 2ユ585 5ユ78 ユ6845
5055 9820114411698125552040 6556 7627工150 95581607 5176 6058 894 76751280 4122 48ユ2 715 6565
962 5087 5587 55工 5168 522 1040 1180 177 1875
10－710－710一7
8
18
25
28
51
42
71
88
95
0
95
155548
55695050216018121118697
0
10252651405585
ユ01
122 0
1222144914672761751287449
0
184047557196
157］86
228 0
228455658552ユ89
112844851
0
10『7
19
44526176
106181216278 7
285
5U52221210864
482717
0
10『7
16
5744526691
16519827852
51044754811758542615
9
0
10－7
11
2650564664
10414825566
299511120602917
15 7
6
0
10一7
7
1619
2229407798
170ワ8
2481951105115
9
7
4
2
0
10一8
50
69
81
96
124176549448875606
1481829419110
52
51
24
15
8
0
10一8
122751574869
15918ユ
58152ワ
708520ユ52
581811
8
5
5
0
10｛9
40
92
107128167258486657
1409156427751096499125
58
54
27
15
9
0
lG｝1010｛12
49
115152158206294607802
ユ850197958291546592145
68
59
51
17
ユ0
0
74
172202241514449954
12542902524261442048887215ユOl
59
46
26
15
0
10一8
728
1655ユ94022872925401869068549
12ユ662440
ユ460618759202ユ71545582ユ55246408524081558
59
A A1
5
~71
* *f
e')¥~O~;~
60 60 65 70 75 80 85
1/2 (85 + o * ']
o,' o * "
o * "'
1/2 (90 + o *'
90 95
l OO
l05 llO l 15
120 l 5a
l
l0-7
2
l O-7
5
l0-7
4
l 0-7
s
l O-7
6
lO-7
7
1 0-7
8
lO-8
9
l O-8
lO
l O-9
ll
l0-1 o
l 2
10-1 2
Total
l O-e
5
16
22 28 55 55
l 16
l 42
l 76
O
l 75
405 2025 6591 5966 46C6 69~5 55Cl 2496 899
7
20 25 52 44 68
151 184 250
250 S74
l 067
765 501 550 261 21 l
l 75
60
l 2
~6 45 57 77
l 26
277 541 485
8
491 582
ll64 555 5~2 227 168 l 55
l 20
37
1~ 59 49 65 84
154 ~04 586 585 48
655 990 854 527 l 87
l 26
94 76 60 20
ll 55 41
52 71
11~ 256 528 554 ll9 675 764 5~1 l 78
99 67 51 41 32 ll
7
25 28 66 49 77
l 75
228 425 l 64
587 486 292 90
50 55 26 20 16 5
4 l 4
l 7
22 50 48
l a8
142 282 156 458 285 l 57
46 25 17 15 lo 8 3
19 60 74 94
l ~0
204 461 612
l 515
99a 2505 l 158
580 l 64
89 59 46 57 28 9
7
25 29 56 50 79
l 78
2~8 5~6 477 lOIO 454 2C7 57 51 20 16 15 lO 5
26 79 98
l 25
175 269 609 816
l 884
1865 5749 l 458
674 l 84
99 66 52 41 51 lO
~2 97
120 155 215 5~1 747
l005 2~78 2559 4957 l 761
795 214 ll4 76 60 48 ~6 12
48 l 48
l 85
2~5 145 5C5
l 157
1550 5665 4091 7754 2660 l 182
~18 l 70
l 15
89 71 55 18
475 1458 1817 25~0 5141 4995
l 1270
14284 26548 5525
28875 55876 ~6278 22021 150~0 IC747 84~5 6905 5455 l 895
60 Takao S ATO
Table 4 O =60 , E1
A
7c
At
O
7::
~
~
* *f
~)¥~O'~
O
50 60 6~ 70 75 80 85
1/2(85 + o * '
o,' o * "
1/2(90 + 6 *'
90 95
l OO
105 llO l 15
l 20
l 50
l 80
60 60 65 70 75 80 85
i/2(85 + 6 , ,
o*' o * "
o , "'
1/2(90 + o * '
90 95
lOO l 05
llO ll5 l 2C
15a
5C 6C 65 70 75 8C 85
1/2(85 + o * '
o*' 6 *" o , "'
~~(9c + o * '
90 95
lOC l 05
llO l 15
l 20
150
l
l 0-8
2
lO-8
5
l 0-8
4
l O-8
5
l O-s
6
l 0-8
7
l0-8
8
l O-8
9
l0-9
lO
l0-9
ll
l O-' o
l 2
l O-t 2
Total
l O-8
7
8 l 5
19 25 55 51
105 154 lOl
S l 98
192 5512 6784 6574 5781 5292 4228 l 966
l 478
96 l07 2CS 260 ~25 449 685
lll4 l 288
l 408
l 955
1407 9526 7510 5724 4572 5802 5196 l 564
995
181 202 590 494 620 855
l 298
2044 2280 2650
5544 4886 8058 5554 5950 2945 251 7
2069 879 628
204 229 446 S61 709 975
l 487
2582 2662 5082
4112 5507 5158 51 79
2281 l 704
l 446
l 1 75
485 546
l 75
l 98
591 490 624 864
1519 21 98
2484 2872
5854 4628 2964 l 752
l 256
954 788 626 255 l 85
l 25
140 278 548 446 622 955
l 659
l 901
221 5
2992 ~172 l 551
895 624 476 400 51 5
l 28
91
77 88
l 76
221 285 599 614
l 108
l 285
151 5
2080 1956 805 474 317 242 204 l 58
64 45
54 58 78 98
127 l 78
276 519 610 729
10_~9
8~7 292 l 64
ll5 88 74 56 25 16
l 52
l 51
506 586 501 707
llOl 21 22 251 8
5044
4586 5262 l 028
573 594 506 257 l 96
79 56
45 52
l 06
l 54
l 74
246 ~85 754 900
l096
1605 llC6 552 l 85
l 27
98 85 65 25 18
56 64
l 52
167 21 7
507 481 957
ll50 1408
2089 1559 589 21 5
l 48
ll5 96 75 50 21
86 99
201 255 552 471 759
l 478
l 780
21 88
5267 2068 579 52a 21 9
l 71
l 46
l 08
44 51
761 859
1684 21 2~
2691 5725 5696 9520
10850 l 2498
l 6971
19191 281 55
21 642 l 7205
l 5820 121 51
9888 431 O
51 58
7
ll 13 15 19 27 52 64 61 O
61 l 06
4~a ~74~ ~621 5c56 2778 2594 21 58
1602
l 04
151 l 77
209 29S 585 681 787 954
O
954 l 769
4409 5019 5590 2526 1949 l 741
1541 l091
l 96
288 556 599 509 7~5
1315 l 525
1866
l 870
5809 5971 5832 2552 1691 1286 ll56 995 695
221 526 579 449 579 859
l 549
l 841
2222 56
2278 4665 5005 2525 1561 959 7~5 646 555 582
l 91
285 527 ~89 505 756
1415 l 751
2095 262
2~57 4 1 72
5588 l 295
757 515 599 550 295 202
l 55
l 98
250 274 557 524
1046 1514 l 655
545 21 78
2950 l 967
666 572 259 202 l 78
l 46
ICO
84 125 145 175 226 535 684 877
l 15S
659 l 794
1846 l 085
541 l 92
l 51
l0~ 90 74 50
~V S5 65 76 99
147 511 408 560 518
l 078
799 418 l 25
68 47 ~7 55 26 l 8
145 21 4
248 298 590 580 1251 1662 2585 2820 5202 5105 1515 429 255 l 62
1~0 ll4 91
62
49 74 86 l05 155 201 459 588 869
l 1 84
2C55 l 065 4 9 9
1~8 76 52 42 57 29 20
61 91
l06 l 28
167 250 551 745
l 151
l 724
2855 1510 595 161 88 6C 49 4~ 54 25
95 l 59
l 65
l 95
256 ~82 846
l 1 46
2660 2851 5491 l 945
889 240 l 51
90 75 65 50 55
827 l 222
l 421
l 687
2205 51 72
6021 751 5
9055 2050
l I 105
l 7125
19067 l 4505
lOI05 7671 6255 5655 481.5
5456
9
25 52 4a 49 46
14a l 77
210 o
21 o
495 5044
l 0294
9154 6680 52sl 4594 3298 l 768
156 556 450 545 748
l 1~~
221 7
2827 5775
C
5775 8804
l 7475 l 0145
7720 51 25
5506 2846 2~09 l 185
257 668 808
l C26
l 596
2145 4~51 557] 781 4
1~7 7951
16161 l 9544
8950 5159 5556 2277 l 840
l. 472
746
289 749 908
l 145
1560 240~ 4972 6468 9865 854
l0697 16715 l 4556
5517 2915 l 877
l 295
l 059
81 5
410
247 641 779 982
1556 2052 4527 5671 9559 2088 ll647 1~1 ~1
9126 2926 l 558
998 700 561 450 21 6
l 75
445 542 681 929
l 420
3051 5997 7405 2915 l0516 8459 5059 l 492
781 499 555 284 21 4
l08
l c8
277 578 424 579 881
l 895
251 o
4989 2785 7774 498~ 2696 76a 594 252-
l 81
l 44
l 08
54
47 l 20
l 46
l 84
251 ~80 825
l 096
2567 l 771
4108 20~9 lOIO 275 140 90 6S 52 58 19
182 467 569 714 97S
l 472
5202 4266 7~-96
85S5 l 6451
766~ 553C 952 487 51 l
226 181 l 36
66
65 16C l 96
24S 5~5 505
llOl 1469 2680 5546 6026 2576 1176 506 156 lOO 7~
S8 42 21
77 l 97
242 502 "I 5
622 l 557
1815 2~69 4594 6965 61 20
l 588
~57 l 82
ll6 85 68 49 25
l 18
501 568 461 650 947
2C69 2765 4958
l 4520
l 9478
471 4
2076 531 270 l 72
126 lOl 74 67
l 454
2787 5585 4268 5819 8886
l 8484
24089 59201 9804
49005 59868 60795 55S76 25226 15765 l 1582
9~20 7250 5765
61
Table 5 0=30, Ea
A
O
A1
O
~
7c
* *f
"~ O1¥O~;"
O
5C 60 65 70 75 80 85
1/2(85 + o , '
e,' e , "
e , "'
1/2(90 + e * '
90 95
lOO l 05
llO ll5 l 20
150 180
50 60 65 70 75 80 85
1/2(85 + e * '
e*' e * "
e * "'
1/~(90 +e *'
90
95 l OO
l C5
llO l 15
l 20
150
~0 60 65 70 75 80 85
1/2(85 + e , ')
e,' e * "
1/2(90 ~- o * ')
90 95
lOO l 05
llO l 15
l 20
150
l
l O-s
2
l 0-8
5
l 0-8
4
l 0-8
5
l0-9
6
l 0-9
7
l 0-9
8
l0-1 o
9
l O-1 o
lO
l 0-1 l
ll
1 0-1 2
12 Total
l 0-1 4 1 0-8
l 27
l 48
507 670 491 761 1226 5022 2798 5055
O
5055 6585 8008 5271 2095 l 475
lll4 886 754 506 215
l 70
200 409 526 759
l027 1690 4545 4602 4828
O
4828 8555 5116 1651 956 665 505 598 55~ l 55
95
l 55
181 566 479 681 942
1~68 4525 4485 4828
27 4855 6511 2916 862 494 542 259 207 l 70
69 49
ll4 l 55
272 ~56 501 706
ll80 5~58 5~69 5622 l 59
~781 5926 l 458
41 5
255 l 60
l 22
97 80 52 25
768 904
l 840
2579 5~05 4728 7917
25180 25555 51C58 4005
55C65 21710 71 ~2
l 971
l099 759 580 460 577 l 52
108
461 541 ll05 l 420
l 946
2807 4698 14094 l 5782
209~*5
5662 26617 l I 075
5547 91 l
505 548 266 21 2
175 70 49
264 508 651 809 l099 l 587
2656 8105 9256
l ~058
5494 l 8552
5641 1618 454 241 166 l 25
ICl 82 55 24
l060 l 254
2555 5541 4567 6506
l C559
52727 57959 57265 55427 92692 2021 O
5568 l 475
814 565 429 541 278 ll2 79
596 459 945
1209 l 620
2556 5902
l 2244
1454C 22555 17277 598~2 7045 l 882
497 274 188 l 45
ll4 94 58 27
1526 l 559
5169 4050 5416 780C
l 5021
41157 48474 78224 67975
1461 97
226~6 5970 l 571
865 59~ 449 559 295 ll8 86
1612 1861 5827 4894 6529 9589
15665 49754 58952 97270 9581 5
l 91 085
26582 6860 l 798
994 676 527 418 ~56 166 95
24~6 2806 5784 7591 9847
141 56
2561 5 7521 O
8951 l
148880 150400 299280 591 71
l0070 2651 l 457
999 772 61~ 495 200 141
608 714
l 458
l 868
2594 6702 6125
167~1 l 7556 l 9771
l 922
21695 24749 15658 S44~ 551 1
251 5
l 755
1~92 1170 474 552
156 200 209 2S5 552 499 91 9
825 909
O
909 2048 2945 1285 855 S90 462 586 545 2~9
l 84
264 298 575 465 681
l 559
l ~5~
1271
1271 2750 2045 661 585 269 21 l
l 76
l S~
l06
165 2~5 275 545 418 615
l 224
l 271
1224 l 22;
2505 ll96 555 200 159 l 08
91
79 54
125 l 74
204 257 517 467 959
l 025
l059 15
l 052
l 494
608 l 70
95 66 52 4~ 57 25
850 ll92 l ~87
l 728
2189 5257 6724 7759 8960 629
9589 8650 6009 812 448 510 244 202 l 75
ll9
498 725 841 l041 l 558
1999 471 4
5262 6555 1500 7655 4557 l 420
675 2C6 l 42
ll2 94 80 55
285 419 486 598 776
ll69 2951 5627 4~62 l 575
5957 2568 690 180 98 68 55 44 58 26
l 148
1704 l 979
2426 ~169 4811
12901 14897 21407 12576 55785 8650 2~71 610 655 252 l 82
l 48
l 28
88
429 641 746 915
l 195
l 824
5105 5956 9081 6754
l 581 5
5049 80~ 207 ll2 77 60 50 44 ~0
1459 2161 2520 5078 4056 6185
l 7765
20875 55051 28248 6]299 9861 2565 649 554 245 191 l 59
156 95
l 745
2624 5065 5756 4905 7556
221 69
26214 42880 411~7 84017 l 154･*
2946 749 404 277 222 l 86
154 l09
2655 5975 4640 5657 7452
ll456 55991 402_88
66915 67555
l 54448 l 7202
4527 l099 595 409 527 272 252 l･*9
655 942
l 071
l 554
1690 2480 5065 5265 5590 4902 l0492 8551 6116 2177 l ~26
955 7*･.,O
609 5~8 571
l 72
595 461 545 726 959
l 459 l 5~ l
1761
S 5515 5955 2628 2548 1091 790 605 489 2~5
228 550 686 850 l021 l 529
1949 1956 2~71
21 77
~585 1414 780 506 ~65 277 222 l 15
204 494 602 756 915
ll96 l 7**8
l 85~
l 897
l 741
251 ~
766 407 265 190 l 44
l 14
58
l 52
566 455 5~4 677 895
1526 1~87 l 577
l 578
1256 572 l 95
l 25
89 68 54 27
l 052
2495 2926 5586 4655 6194 9~66 9529 9(570
lO008 6449 l 781
922 588 425 522 254 l 28
622 l 525
l 792
22C~ 2872 5907 602C 6065 6191
6585 ~1~2 826 425 271 l 96
l 48
116 58
558 887
l 051
1299 1702 2~52 ~692 ~694 ~840
5804 1549 596 202 l 29
94 70 55 28
1446 5647 4~79 5452 71 61
l0091 l 6280
16401 1716~
l 5:956
~*598
1~47 687 4~6 ~15 2~6 l 87
94
542 l 585
1678 21Cl 2762 5946 6509 6625 6917
6]26 l 850
455 2~1 147 l 05
80 65 51
1821 4690 5725 7200 9470
1~661 22909 25504 24452
20952 5870 14~5 726 468 551 250 200 lOO
2206 5720 7052 8880
ll677 16980 289~5 29919 50976
25769 6860 l 648
8~5 527 ~86 295 227 114
5541 86~5 l0701 1~558 l 7806
25996 4462*'
4655~ 47~52
69280 IC070 2429 l 250
776 568 4~1 556 l 68
817 1958 2~57 2865 ~641 4815 721 2
7274 8051
9C65 l 0254
458~ 2655 1741 l 259
960 770 596
62 Takao SATO
Table 6 O =60. E2
A
7r
~
A1
O
I~
71
* *f
.~ O,~¥~O~~
o
50 60 65 70 75 80 85
1/2C85 + O I ')
el' e I ''
e I '''
1/2(90 + e 1')
90 95
lOO l 05
llO l 15
l 20
l 50
l 80
50 60 65 70 75 80 85
1/2 (85 + o *')
6 *'
o , "
1/2 (90 + o *')
9C 95
lOD l 05
llO ll5 l 20
l 50
50 60 65 70 75 80 85
1/2 (85 + o ,'
o*' o * "
o , "'
1/2 (90 + 6 *')
9C 95
lOO l 05
llO ll5 l 20
l,50
l
l 0-9
2
l O-9
5
l 0-9
4
l 0-1 o
5
l O-1 o
6
l 0-1 a
7
l O-1 l
8
l 0-1 1
9
l0-12
10
l 0-1 2
ll
l0-Is
12 Total
l 0-1 5 l0-3
242 O
468 660
l OOO
l 786
2944 6C79 5685 6865
O
6865 1656C 26411 l 2898
9056 6496 5552 4496 5927 l 782
506
556 O
686 l 056
1608 2608 441~
l 0089
l0074 l 0478
O
l 0478
2~529 42945 6919 4545 5170 2552 2100 1811 824 255
529 O
652 l009 1540 2591 4076 951 2
9899 l 0279
5
l 0284
205~4 ll555 5755 2280 1655 1518 ll05 947 428 l 21
25~5 O
4844 7752
l 18~1
l 8425
~1707 75777 81559 86887
92･2
87809 l 55978
59469 l 821 4
l 0851
7868 6297 5257 4486 2011 577
l 762
C
5~82 5555 81 90
12966 22587 571~9 62865 70842 4762
75604 799~6 29528 8740 5167 5752 5001 2485 21 25
949 272
l 090
O
2095 5278 5048 81 04
1451 O
58885 45675 56551 l C447
65778 42458 l 4024
4065 2~74 l 721
158C l 1 44
976 440 l 25
6556 O
l 2258
19159 29555 47852 85261
246295 281 255
570782 15107C 501 852
22~005 68100 19477 l 1550
8217 6585 5495 4651 2088 590
2615 O
5C44 7891
1221 5
l 9881
5581 2
l 10608 l 28525 l 85575
l06550 291 72'~
81 547
2~458 6610 ~859 2778 2258 1845 l 584
704 200
9897 O
19115 50009 46490 7~81 8
l 5751 7
445240 520785 796997 588974
l ~85971
2878~6 79768 225~7 l 2984
9552 7446 6220 5512 2406 681
5~60 O
6492 l0170 15799 25787 46944
l ~5586
184052 292648 2498~6 542484 95~42 25242 70~7 4086 2951 251 5
l 952
l 680
772 227
4086 O
7900 l 2440
l 9295
51 555
57658 l 95629
252720 582722 5671 59
749881 l09414 29285 81 27
4722 5560 2724 2270 l 907
865 227
61 74
O
l 1986
l 8886
29528 47897 8771 5
50091 l
~58978 599552 6051 82
l 204754 l 6521 ~
42994 ll940 6901 4994 4041 5560 2815 1271 566
161 C
251 689 595 960
1641 ~921 4106 4618 406
5024 7477 5724 2247 1472 l065 864 722 626 284 81
522 l 575
l 755
2074 2928 441 4
6595 5925 7200
S 24091 l 821 9
l 4581
9606 6771 5081 4059 551 9
l 1 55
806 2295 291 5
5550 4557 641 6
l 0286
8545 9978
l 5865
l 8C84
8117 4747 5246 2425 l 915
l 564
555
749 2116 2692 3269 41 74
5804 l 9075
8467 8791
l0179 12585 4471 251 9
1704 l 268
996 807 271
5657 16271 l 9858
24207 51 540
4~262 68209 65085 6491 7
65585 68645 21 865 l 2055
81~6 609~ 475~ 5850 1508
5882 l 1595
l 5488
l 6471
21 665
29975 45989 45496 45582
455~9 ~5798 l 0546
5769 5859 2885 2265 1821 617
25C6 71 C5
8~51 l 0224
l ~584
l 8964
28802 291 24,
29660
27115 l 7579
491 2
2647 l 775
l 550
IC40 840 286
l 5985
41859 49595 60856 8151 l
l 14655
l 75244 l 7951 2
l 84755
161715 87440 25608 12667 8490 6401 4994 5995 1562
5775 l 7592
208~0 25855 54665 49504 77489 80008 82891
69262 ~0681 806~ 4522 2887 2175 l 675
l 562
454
21 974
66575 80540
IC0425 l 5488~ l 94584 5121 70
522950 554825
270947 l 05782
27240 l 4528
9670 7264 5675 4585 l 544
7446 22564 27694 54640 465~5 67601
ll0594 ll4408 l 18405
94296 55641 8626 4585 5087 2270 l 771
l 455
499
91 25
27649 54186 42948 57705 84508 140604 145462 150158
l 1 7677
~8999 9897 5266 ~496 2655 2088 l 654
545
l 5847
41 995 521 65 6 5 6 48
8821 2 l 29254 21 7738
225095 251 949
l 80692
57705 l 4575
7718 5176 5904 5042 2452 81 7
291 846
l027 l 247
l 657
2~1 4
5757 5529 ~594 5594 5557 51 84
2588 1592 l I 02
825 655 555 l 84
l 0-8
84 191 201 258 556 445 746 691 827
O 8 2, 7
l 792
2641 l051 597 558 225 l 47
95 O
l 0-8
l 24
279 522 385 490 668
l 258
l 221
1264 O
1264 2580 1959 564 287 l 68
l06 69 44 O
l 0-8
ll4 257 508 ~67 450 617
ll67 1205 l 240
l 241
2249 ll56 505 151 88 55 56 25 O
l 0-8
87 l 97
2~6 282 547 480 950 988
1048 ll
l 059
1490 594 148 72 42 26 17 ll O
l C-9
60V l 577
l 627
l 951
2459 ~416 7015 7654 8540 574 9114 8758 2955 712 341 l 98
l 26
82 52 O
l 0-9
~75 855 1000 12C5 l 525
21 64
4772 5506 64~0 1259 7689 4652 1402 551 l 57
92
58 ~8 24 O
l 0-9
21 8
499 584 704 900
l 290
~C22 5 4 1 7
4470 1579 6049 2445 681 l 59
75 44 28 l 8
ll O
l C-1 o
897 2056 2407 291 O
5740 541 6
15574 15615 22549 12816 55165 8953 2546 559 256 l 47
94 60 59 O
l 0-1 o
6~9 780 914
llC7 l 426
2080 5440 6526 96C8 7097 167C5 5155 798 l 82
86 49 ~1 20 13 O
l 0-1 t
ll49 2642 51 05
5764 4849 71 05
l 909~
22560 ~5285 50109 65594 l 0224
2524 577 268 159 lOC 64 41 O
l 0-1 2
l 598
5225 5791 4599 5929 8721
24CC8 28271 46140 44247 90587 l 1 986
2928 665 5C9 l 77
llzi
75 45 O
l O- t 4
211 6
4885 5757 6987 9007
l 5270
~6956 4~607 72281 72955
l 4S21 6
17879 4299 9~,6
459 265 l 68
l09 68 O
l D-8
455 l025 l 186
1418 l 805
2485 4812 4986 5569 489
6C58 8191 5724 l 850
975 576 ~65 257 l 52
O
63
A At
~
~lr
* *f
,~ ~¥o~~
50 60 65 70 75 80 85
1/2 (85 + o I ')
o,' o ," o , "'
1/2 (90 + o , ')=
l
l O- 9
2
l O-9
5,
l O-9
4
l0-10
5
l0-10
6
l 0-1 o
7
l O-t 1
8
l0-1 l
9
l 0-1 2
lO
lO-t2
ll
l 0-1 3
12 Total
l 0-1 5 l0-8
90 95
lOO l05 llO ll5 120 l 50
55 l 70
195 256 ~91 55~
ll79 1~72 l 596
O
1~96 ~570 4~52 1701 l 052
712 527 41~ 544 ll5
81 249 5C7 402 576 865
21 94
2476 2427
2427 4924 2855 875 495 552 247 1 95
l 58
55
75 250 292 582 545 846
2280 2497 2562
15
2577 5780 1644 466 258 172 l 29
lOl 82 28
57 l 77
224 292 420 666
l 857
2050 2259
92 2551 2290 829 226 l 22
82 61 48 59 15
398 1226 1546 2015 2894 4598
l 521 C
14654 l 7668
2542 2COIO 12670 4058 l 076
58C 588 290 227 185 62
245 755 945
l 229
l 757
2798 8179 9222
l 21 5S
5542 l J*477
6465 1910 497 266 178 l 55
l04 84 29
l 43
459 548 711
lOIO 1609 4756 5459 7642 5256
l 0898
5294 925 2~8 l 28
85 64 50 40 14
585 1795 2256 2897 4075 6489
l 9587
22505 65825 21084 54907 ll816 5166 808 452 289 21 7
l 68
l 56
45
22c 677 845 l091 1525 2426 7294 8545
l 5589
la5c5 25692 4115 l070 275 l 45
97 75 57 46 l 5
745 2288 2847 5682 5121 8145
2458C 28956 46576 40588 871 64
l ~2~4
5414 865 459 509 227 177 145 5C
905 2778 5459 4467 6195 9847
2981 4
55289 58085 56085
l 141 68
l 5427
5952 990 527 550 265 209 l 65
54
l 571
4209 5259 6765 9561
l 4875
451 26
55518 88989 89946
l 78955
229a4 5770 l 457
772 51 8
390 504 245 82
296 915
l 1 28
l 476
21 65
6254 8685 9707
l 0744 l 154
l 1878
141 52
8647 2888 l 695
ll40 846 665 546 185
64 Takao SATO
Table 7 o =5a , E2
A
7r
At
O
7r
2
7r
* *f A~
O~¥¥"
O
50 60 65 70 75 80 85
i/2(85 + 6 * ')
o *'
o , "
1/2~90 + o , ')
90 95
lOO l05 lla ll5 120 150 180
50 60 65 7C 75 80 85
1/~(85 H- o * ')
ot' o , "
o t "'
1/2(90 +0 ,')
90 95
lOO l05 llO ll5 l 20
l 50
50 60 65 70 75 80 85
l/2(85 + o , ')
o*' o , "
o , "'
1/2(90 + 6 * ')
90 95
lOO l 05
llO l]5 120 150
l
l C-8
2
l 0-8
5
l O-8
4
lO-8
5
l O-9
6
l 0-9
7
l 0-9
8
l 0-1 o
9
lO-To
lO
l 0-1 1
ll
10-t 2
12 Total
10-f4 l0-8
68 77
146 169 216 28~ 462 746 782 855
S ~445 2274 2~54 l 652
1208 925 744 615 254 l 85
ll7 l 52
248 519 402 547 804
ll86 l C86
15~1
2487 2701 1400 8S5 606 457 ~68 ~C2 l 2~
88
ll~ l 2 '7
24~ 6]l 587 527 784
l 188
ll41 1200
1515 l 922
~01 461 ~22 244 196 160 60*
46
88 99
l 90
259 296 40b 605 91~ 912 895
929 l I 08
590 225 l 5*-
ll8 94 77 51
22
622 698
l 554
1667 2081 2869 42~5 6585 65C6 6585
6146 ~9~2 1891 l069 740 565 449 567 148 l 05
592 441 861.
l 055
l 527
l 852
2697 4087 4207 4205
4060 2967 884 496 ~42 262 207 l 70
69 49
255 264 518 6~5 806
lll2 1640 2521 2607 2645
2641 'l490 427 257 l 64
l 26
99 81 55 25
982 lll5 2204 2726 5500 4808 7151
l*1245
l 1655
ll942
1271 l
~279 140*7
81 l
557 421 ~66 276 lll 79
578 4~1 856 l067 1679 l 889
2816 4566 471 O
4845
5425 18~9 495 274 l 88
l 45
l 14
95 58 27
1294 1476 2946 5696 4794 6556 981 l
16112 l 6689 l 71 95
l 6884
5725 l 544
854 586 445 554 291 ll8 86
l 598
l 821
5646 4594 5988 8167
l 2272
20498 21 197 21 842
26146 6810 l 795
994 676 527 418 556 l 56
95
2424 2778 5566 7057 9184
12521 l 885C
51 726
52788 55787
41087 l 0070
2651 l 457
999 772 615 495 200 141
458 495 945
ll79 l 480
2016 5018 4591 4529 4827
821 8
8285 4588 2820 2019 l 557
125~ l018 417 501
75 l 08
ll9 l 42
l 97
275 568 497 612
O
612 1597 2550 ll06 721 512 401 ~56 290 201
l 25
l 88
227 266 ~47 471 886 872 1047
O
l047 220*9
l 849
617 ~61 251 l 97
165 l 42
97
121 l 84
221 256 656 462 9L*6
952 l 061
O
l061 1995 l 126
~~7 ~ 91
l 5~
l 04
86 7~ 51
95 145 169 196 260 ~66 759 809 905
7
910 1~57 585 165 92 64 50 41 ~6 25
671 l022 l 1 72
1576 l 828
26~5 58~1 6407 7265 684
7649 8151 2929 796 440 304 2~9 l 98
l 71
ll7
424 645 7~4 871
l 154
l 694
4011 4512 5~50 90C
6250 4571 1596 570 2C~ 140 lll 92 79
54
252 582 458 525 691
l 027
5268 2942 5668 l 1 74
4842 2~02 681 l 78
97 67 55 44 ~8 26
1065 16a8 l 854
2255 2928 4414 ll716 15666 l 81 56
9864 28020 851 7
2~52 607 ~~1 228 l 78
l 48
l 28
87
410 621 718 870
1156 l 775
4754 5608 7785 5565
l 5548
5019 8c5 2a6 l 12
77 60 5c 45 ~0
l 405
2120 2254 5001 ~895 5947
l 6859
20005 28561 2~862 5242~ 9811 2497 640 550 241 186 l 54
l ~6
91
l 725
2606 5046 ~714 4808 7~75
21 558
2551 o
57555 55544 72699 l 1552
2946 749 4a4 277 222 186 l s4
l 09
2629 ~968 4654 5675 75~7
l 1 275
52956 59507 58544 58575
ll6919 l 71 98
4527 l099 595 409 ~27 272 252 l ~9
471 71 2
855 976
l 295
181 s
3787 5926 4620 4000 8620 71 57
5571 l 975
l 2a5
845 665 552 478 ~29
94
257 294 586 589 899
2020 1919 1942
O
l 942
581 4
7289 2641 l 567
l015 717 5 4 5
458 217
l 65
452 554 690 962
1~10 5'/lC
5876 581 2
l
~815 85~2 4901 14C5 7~8 485 546 265 209 l 04
l~*9
4~ 9
555 685 929
1479 ~7~5 4087 4222
24 4246 7060 2840 7J*9
400 256 l 82
1~8 llO 55
l 24
562 420 **~6
755 ll67 6C48 ~427 5808 l 45
5955 4~07 l 4~5
~70 l 92
l 22
88 66 55 26
569 2~55 2941 5750 51 65
81 98
22091 25297 ~0674 57C9
~4585 2~911 7049 l 775
91 l
581 418 517 250 125
550 1475 1822 2521 5206 5058
l ~989
l 62CO
21 575
5298 26675 l 2200
~526 825 421 268 l 95
146 ll5 58
527 867
l 067
l 559
l 875
2940 8277 9651
l ~584
5167 l S7*~l
6221 1611 596 201 l 28
95 70 55 28
1~70 5588 4406 56C6 7689
ll998 ~4554 40~04 60627 5~~515
941 42
22~08 S527 l ~45
684 454 ~15 255 186 94
526 1~64 l 674
2129 2907 4518
15065 15586 241 C9
164C9 4051 8
7778 l 868
455 251 147 l05 80 65 51
1798 4651 521 2
662,8
9C48 15241 4451 9
5251 O
75064 51 089
l 261 55
2421 6 S81 6
1416 717 459 527 250 l 95
lOC
2206 5648 6942 8812
l 1 958
l 8496
54C67 65928
l oJ*a96
89474 l 94570 29].55
6860 1648 855 531 586 295 227 ll4
5560 8572
l 0555
l 5575
18124 280C5 82024 97074
161188 14~555 ~0474~ 4551 6
l0070 2429 l 230
776 568 451 556 168
588 l 657
2026 2605 ~628 5755
l 4750
l 5867
l 7754
1789 l 9523
25228 l 4788
4578 2567 1650 l 173
891 7] 2
554
65
Table 8 6 =30 , E3
A
O
A1
o
7T
7
~
~ *f
o'¥O'~
O
50 60 65 70 75 80
1/･_･(80 + e * '
6*' o , "
o , "'
85 87 . 5
90 95
lOO l 05
llO ll5 l 20
150 180
50 60 65 70 75 80
1/""(80 + o *'
o*' o *" o * "'
85 87.5 90 95
lOO l 05
llO ll5 l 20
150
50 6C 65 70 75 80
i/2(8C + o , '
o,' o * "
85 87 . 5
90 95
lOO l05 110 ll5 l 20
150
l
l0-10
2
l O- I o
5
l0-10
4
l 0-1 o
5
l D-1 1)
6
l0-10
7
l O-1 t
8
l D-1 1
9
l 0-1 2
lO
lO- ~: I
ll
lO-13
12 Total
l 0-1 5 l 0-8
6110 7261 15500 20577 2741_l
4C~60 66C48 92409
165C16 O
1~5016 l 26772
275450 85528 21058 ll686 801~ 61 86
5171 4055 1619 l 148
5226 6524 15012 l 9576
26609 ~7160 61 608
86877 145128
26 145154 247652 l 4747~
52645 7927 4572 2974 2529 1916 l 494
6C8 427
4267 5122
l 0565
15100 20666 50081 50757 72450
l 25820
651 124471 221 1 42
79845 l 60~2
585C 2092 1441 l090 952 721 299 206
2975 551 O
7555 9851
l ~576
20~69 54826 50652 97~92 5605
l00995 156~98 ~8994 7~21 1752 951 658 500 422 529 l 28
94
1906 2222 4699 604~ 8~58
12666 21 798
51 8~5
72065 8786
80851 l01907 18715 ~~98 806 4~8 60C 250 l 96
l 50
61 45
ll04 1279 271 O
5451 4 72 9
71 56
l 2520
18100 47590 l 2205
59595 60~72 8680 l 5~7
565 l 98
156 l 04
87 69 28 20
290] ll7958 407588 544688
6185 7290
15090 l 9062
261 20
~9068 67556 99586
90
41592 7264 1715 9~5 642 485 412 521 l 27
91
2458 281 9
5917 7501
l 01 94
15067 26055 58556 125101 75264
200~65 159202 14181 24~~ 575 514 215 l 66
l 58
107 44 ~0
9166 l 0585
22078 281 54
57982 55669 96250 142674 4 9 44 1 5
570825 865258 550065 48505 851 5
1961 l 055
722 554 472 365 l 45
l 04
5021 5488 7244 9265
12460 18155 51 575
46576 168097 l 44946
~15C45 l 76188
15145 2571 608 ~27 225 l 75
l 44
ll4 44 52
5659 4202 8692
lll61 l 49S2 21 676
~7442 55652
207941 l 98072
406015 21 5954
17574 2952 694 574 256 l 98
166 129 55 57
5476 6540 15090 l 6854
2251 7
52565 ~6258 85585
51 7476
517517 654790 52587a 25621 4556 l019 555 576 291 244 l 89
78 54
188 224 467 645 879
l 285
21 50
5065 5545 416
5959 8085 4806 1211 500 l 96
ll5 88 76 57 25 16
6619 9754
l 1 424
1561 O
l 8066
25500 52851 4562~
45625 20157 88549 54590 8486 4720 5261 259~ 2275 l 856
l 269
5689 7877
l0651 l 2821
l 4628
21 252
27127 4661 7
46617 44265 50666 15802 5260 l 762
1212 967 855 699 481
4652 6546 8420
l0161 l 1 785
l 7595
222~4 ~61 12
18 561~C 550 1 8
28]26 680~ 1600 861
597 474 405 564 228
521 9
4490 5612 6781 8540
l 251 2
16262 26~45
515 26658 44955 15899 5]46 729 586 265 207 l 86
150 l C7
2065 2958 551 C
42*'7
5485 8650
l 1078
l 999S
1409 21404 55257 6694 1461 657 l 78
l 2~
95 85 70 49
l 1 96
l 757
2C5~ 2469 5245 4998 6795
l 4422
2865 l 7285 21 720
5155 66~ l 52
80 55 44 58 52 21
6697 9857
ll460 15951 18~78 287~2 39659 97~~5 54225 151558 l 52787
15116 5126 709 ~82 266 212 l 82
145 l 05
2647 ~945 4587 5598 7429
ll661 l 6557
47078 26747 7~825 575~5 51~6 l046 2~9 l 28
87 69 59 51 54
9954 14900 l 7597
21 256 281 84
44506 65052
200854 l 46942
~47796 227277 l 7652
5582 81 5
451 291 245 204 l 75
ll4
~272 4929 5769 7057 9646
14818 21 126 71 74 9
6C658 l 52407
77442 5490 ll04 252 l ~4
91
75 65 55 55
5941 5957 6994 8562
l 1521
1801 l
25814 92682 881 85
18al67 96002 65C7 l 265
288 l 52
l 04
85 71 60 41
5944 9006
10580 12959 17126 27279 59200
l 44672
144655 289025 l 46765
9518 1868 425 225 l 52
125 l 05
88 61
204 289 562 466 558 789
l 025
l 720
l 07
l 827
1996 1611 506 l 22
67 46 *<7
52 26 18
8198 l 9716
25666 51797 ~9160 469C9 55165 451 97
S 98168 8895~ 71 182 l 8648
9708 6190 4508 5599 2685 l 550
6892 l 5854
20675 25569 ~5585 41 C05
46676 62985
21 8569
62770 ~0427 7169 5605 2506 l 689
l 530
999 504
5656 12762 l 54~4
l 90~8
2491~ 50561 55042 49678
21 1544
~9524 1551 l_
5498 l 740
l 1 25
809 651 492 246
~978 9059
l0152 l 2426
l 6498
20271 22645 ~0772
l 57577
21771 7142 l 594
801 508 565 295 222 l 07
2S85 5968 6525 79~9
l 0582
15]61 l 4079
l 7980
l 05798
ll648 5542 758 ~68 2~6 l 68
l 58
l Ol
52
1511 5566 5966 4812 6580 8084 82~9 l0246
65905 5907 1516 5~4 167 l 04
78 61
46 22.
85c~ 20454 25465 286]5 57588 48soo 47595 59696
568874 50458 7204 l 575
782 505 ~64 285 218 l09
5570 8500 9947
l 2250
159]6 21 a24 l 9702
25865
l 50422
ll018 2455 528 265 l 66
l 18,
97 75 55
12655 51 705 591 62
48646 62806 84~99 76694
l C5491
575445 59289 8267 l 795
885 S65 4C9 622 245 127
4]69 l 0559
1~51 5 l 6655
21405 29110 25925 56946
191851 12590 2571 557 276 l 75
126 l 02
75 59
5021 l 2844
l 6488
2071 9
26595 56564 51985 47077
255577 l 4794
2952 6S4 514 201 145 ll5 85 44
7575 19461 251 98
51 741
40706 56252 48826 7601 5
653681 22071 4556 951 467 295 21 7
169 l 25
64
251 585 71 9
886 l 145
1401 l 580
1891
7625 l 959
l 085
268 l 58
88 64 51 58 19
66 Takao SATO
Table 9 θ竃30，E3
A
π
2
A！
O
丑
2
π
畷、
漁 0
506065707580
％（80＋θ1’）
θr’
θ1”
θ1”’
85
87．5
90
95
100
105
1］O
ll5
120
150
180
506065707580
％（80＋01’〉
θ，’
01”
85
87．59095
ユ00
105110115120150
506065707580
％（80＋01’）
01’
θ1”
θ1’”
85
87．5
90
95
100
105
110
115
120
150
1 2 5 4 5 6 710一1Q lO『10 工0一Io 10一IQ 10一薯0 10『Io ヱ0一累1
810一”
9 ユ0
ユ0づaユ0一！2
ユ1 ユ2
10－13ユ0－15
Tota1
ユ0、8
1255 1067
0 0
2405 2045
5695 5509 5658 5555
96848240161111556122440 18782507ユ554776 0 0
507ユ554776 7965 1526877ユ884605855077154979075 5514
5561 2054
58671457 5128 1180
2746 1055
2255 8441001 577 287 ユog
881 657 425 256 1476
0 0 0 0 01681 1215 809 486 2805
2869 工966 工268 755 4544
4595 50511954 1164 6719 6785 4885 5257 1961 11524
11110 8195 5651 5484 20509
155111141880085061502752744］、 ユ9990 15257 11250 77726 9 186 955 2122 26821
27450 20ユ76 16210 15552 工04547工9954 18159 14077 9502 59580
25824 12840 6256 2929 ユ4ユ47
6697 50961457 652 50901725 7ε6 56ヱ ェ64 775 984 450 208 94 442 705 522 147 67 515
580 265 120 54 254
510 229 104 48 224
405 186 86 58 182 176 86 40 17 79 55 24 11 5 24
599 2295 765 951 1405
0 0 0 0 0 1145 4577 1459 1775 2691
1781 6869 2507 2822 4292
2765 10674 こ5588 4597 6685
4629 工7756 5955 7254 10980
8545 55160 11ユ65 15696 20859
12817 50255 17016 20995 52025ろ8809 169ユ79 61284 80164 工25561
21900125454517497621012569660709 292615 1ユ5055 1ε6574 25工25726162 104910 56011 44916 68842 4829 16566 5175 5946 8ワ76
1058 5552 1096 1252 1845
259 88ユ 274 5ヱ4 460
148 504 154 178 261
107 559 エ12 127 186
85 291 89 104 152 75 259 79 90 152
61 204 65 74 ユ09 28 91 29 52 47
8 27 8 10 14
117 0
76
1251895055127工7
工279 85
1562791
144549115ユ
77
55
45
59
52
14
04
2885 2551
7965 7250
10955 900512959 1140915584140工020188 1859228602 2015516161 25029 S
28205 工162256425 2755157554ユ675510872 4249 5950 2275
5998 1512 5021 ユ144
2495 944工924 726
650 245
1995 1550 881 552 5108
5652 5852 2494 1514 8912
98δ6 4504 2877 ユ751 10469
8700 5708 5619 2186 15027
10702 7225 46ヱ5 2875 17ヱ05
15817 9094 5882 5625 21878
15645 10410 6645 4125 24945
21877 14592 8551 4767 24968
587118264856120921107
758
561 457 551 125
5410282825241060558975077 4025 ユ890 865
958 441 199 500 255 ユ04
556 ユ5ろ 70 250 116 55
207 95 44 157 74 55 57 25 ！2
1292 5D2ユ エ692 2078 5ユ65
5756 14746 5008 6197 9467 4525 18096 6224 7792 11968
5656 22618 7797 9790 15059
7554 292ヱ0 ユ0022 12525 ヱ9228
9558 58590 15566 ユ6846 25956
975944655 工5555 196605056511585 45968 16075 20542 51922
！9965 エ1172 51420
／6092 5996 21728 4120 ユ590 4740
945 516 1081 497 116 565 527 111 572
248 85 286
206 69 252
158 54 177 54 18 59
19155 25581 40412
7025 8545 12515 ユ471 1685 2484
555 585 562 1ワ5 198 295
116 151 196 88 99 ユ49 75 85 122 55 64 95 18 21 50
89251514590482622747794
486869584158855745562709
45909895
1ユ291
15525ユ8288
244545098858597 0
585971858685567550777585555520481508
898
54ろ
0
57258404
ユ0719
12807ヱ5565205552594245716 0
4571655258509711549728601559
ワワ2
490
541
209
0
506969098ワワ2
10512ユ2855
！6858
21工4754490 10
5450046059285856697ユろ89
651
569
246
158
105
0
22024985602072459250
124191576δ25117 256
2555541911142e65096
657
295
ユ72
107
79
45
0
1465
5ろ2458ワ54675
6ユ498558
1工0δ7
19工69
1ヱ95205645252969211457
294
158
ワ9
49
54
21
0
878
200225022785570552856988
14110266016770219545240
652
155
62
56
22
ユ6
9
0
5047
11542ユ5269
1607521595511054ヱ80597659
記615151272157工79
15645 5090
650
291
ユ70
109
ワ5
42
0
2048470154466614874112955176964876127452762156044055451058
212
97
55
55
24
14
0
7818
179972ユ002255425555ワ5028169589
2125721547ヱ9
56729124257218555
5552
715
551
191
118 86
54
0
2604
6002
ワ047
8579
ユユ205
1692525496770056487114187485199
5722
1096
222
102 59
59
25 16
0
5165
7506
8625
105151566420ワ702899510072495552196256105769 6578
1252
254
118 67
44
50
19
0
4796
11078工5ユユ5
15992207545159844225
157765157579515544159048 9707
1845
576
175
98
64
44
2ワ
0
158512576452577777988
1607104
171118271597491107
51
29
18
1ろ
08
0
67
A A，
5＿π2
蝿漣
50
60
65
ワ0
75
80
％（80＋θ1’ θ冒’
θ！”
θ1’”
85
87．59095
1001051ユO
l15120ヱ50
110｛：o
2 5 4 5 6 ワ
10－1010噺竃010一lo10hlo10一lo10一11
810一11
910一一2
10 11
10一1210ヘ13
12
10一冒5
Total
ヱ0『8
28759工17
108ヱ5152ユ022480554284854188475 0
884756505ヱ54ワユ5
469421ユ20260464028505625081926
650
2474
7786
ユ04571526820155522074826587075
工5
87086ヱ56465
7ユ92518605 4515 2284 ユ521
1155 944
751
245
2057
6599
8526
1229516702275994145575ユ70
55工
75521ヱ25955
58920 9159
2109 1107 758
565
457
551
125
1475 4604584ユ8519
11758ヱ969729585569582081
590工990945ユ89524204
958
508 556 250 207 工57
57
974
5055575052507576
工27ユ4
18847422595工59
47418599889087
工945 444
255 ユ55
ユ16
95
74
25
581 5526 工819 10575
221ユ ユ2608
5059 17087 4400 24600
7565 41029
ヱ084860ユ6827974 172550 7252 70080
55226 24245055805 205442 4208 20242
881 4168 201 945 ユ04 497 70 527 55 248 44 206 55 ヱ58
ユ2 54
1542
4165
5ユ04
6805
9691
ユ6082254807476545158
H992ヱ85299
6869
1400
516
ユ66
ユユユ
85
69
54
18
5105
15777
ユ94862567856266599648755ユ
2966622251525ユ9794
5ユ7777
25581 4758
1081
565
572
286
252
ユ77
59
1695
5226
6490
8490
11920ヱ966928594
101工16
86566187682工057ワ7
7559
1476
555
ユ75
116
88
75
55
ユ8
2057
6524
7894
10261145242558454247
125559119494244855ユ28529
8415
1685
585
198
ユ51
99
85
64
2ユ
51工0
9554
1196415504215875551ヱ
5ユ525191557191555585エユ0
ユ94674
12415 2484
562
295
196
149
122
95
50
92
287565518725
ヱ165ユ7245575247
562G45622540687162
87
58
45
56 28 ユ0
68 Takao SATO
Table 10 θ昌50，E3
A
π
Al
O
丑
2
π
幽漣
0
506065707580
％（80＋θ1’）
θ1’
1”
85
87．59095
100105110115ユ20
150工80
506065707580
％匿（80＋θ！’）
θ雪’
θ！”
θ1”’
85
87．5
90
95
100
105
110
115
↓20
150
50
60
65
70
75
80
％（80＋θ1’ θ1’
θ1”
θ1”’
85
87．590
95100105工10
115120150
110〔10
2ユ0一10
5ユ〇一10
4 5 610陣11⊃10一Io10一10
710一1！
810一11
91・0一1
10
ユ〇一1a
11
10『13
12 Total
ユ0『1510－8
556545408619
108551595517585255852854054659 S
469204484257699ユ8824
ユ08117417576948515789工5271086
5575415082409654
12522164592工5742482059159
19522567512759475644200287422291870
ユ457 590
416
2ワ595257648775029266
12750ユ6694
1957250605
977424804真4415ろワ44
20571406！090
914
705
281
205
1964！52ワ 822 4889 2254 1505 り65 55δ5
44～’7 5002 1866 ！12工5
4954 5276 2052 12529
6255 4114 2b75 1b｝／45
8702 65工5 5580 21642
！ユ280 74！5 4628 2δ256
工5505 8715 55179 62571
ユ9004 10952 6075 5δ026
4755147716864
1ワ25 957
645
500
415
522
ユ28
95
284084925247ワ96
455297250195150
61
45
257545491494562ユ97
155工05
8ワ
67
28
19
20060246607151
1ワ15 927
656
491
412
52ユ
127
9ユ
208526904857554869999426
12467ユ857515568
ユ2564
ソ2412412
5ワ5
511
2ユ5
164
158
107
44
50
8172 2ワワ1 5424
9470 5252 4018
19286 66工8 8267
22564 7846 9918
28597 9969 1264457956 15102 ユ6470
507ユ6 17657 22500
586工1 20440 25950
64205 22960 29954
6274754091824019611058
722
554
472
565
よ45
104
2465511104256ユ
606
527
225
175
144
114
44
52
54498155工1
2955 694
576
256
198
166
129
55
57
52426150
12682ユ55051955525544544254015846961
556662004445291022
552
579
291
244
189
78
54
122145288555426577747878
1220
751ユエ50
957278157108
85
70
54
22
16
4255 4059 5201
6262 6129 4915
8工20 7052 5471
9455 8526 6608
1184911641 ％5115994158581271720258 20480 ユ6774
27121 29569 25567
0 0 527ユ、2ユ 29569 25570
14805 2工674 5146675598 46759 26702
51982 15557 6680 8085 5192 工564
4478 1750 8445084 1185 580
2454 940 457
2142 826 405
ユ756 676 554ユ199 465 228
2221 1485 917 5458
5418 2270 1597 δ2δ8
5726 2468 154工 9526
4510 2989 18b9 11566
6481 4279 2625 15575
8975 6085 5829 26199
ユ2027828252925242920265156881160176669 107 665165122047205401655512952984165！457260591840711845415598655650851492551051445 656 5114 722 554 151 715 586 178 80 582
265 125 55 261
207 98 44 206
186 86 58 ユ82
150 70 52 145
100 46 21 105
2520 9148 511工 5855 5892
5514 15852 4712 58δ7 8925
4060ユ6276 5600 701010761 4946 ユ9δ65 6と542 8574 16176
6621 26157 8910 11065 16927
1006240258158工6ユ72662649914269 57581 198シ4 2499ご5 5ε456
57658 161229 58！74 7b905 118799
1907711！0574［74627工Ol21179ワ656415 272286 105666 146915 2こ6775556502185927577895510146596510417570 5498 6519 95281046 5559 1！05 1265 1δ65 259 815 252 288 425 127 451 154 152 227 87 500 91 ユ06 156 69 256 75 85 122
61 204 65 74 109 49 165 55 60 88 54 114 57 41 61
1422152492984075617」8
1195 64
ユ25715681454481118
65
44
55
51
25
工8
5625
ユ48921850625416546615498875548
ユ56556 0
15655651245
24188工
7526018124
9557
5915
4292
5451
2565
1285
5584
15556187962584455128554ユ575069
144050 22
1440722ユ25412871850808
ワ087
5575
2270
1659
1512
981
490
42ワワ
1ユ5141575ユ
20095285594624165608
125705 615
124518ユ2200
69525ユ5454
5465
1740
1107
809
655
474
246
2976
8508
ユ09821409220494556444812898114
5617
101751 9101
55789 7171
工587
794
508
565
295
222
107
1981577271529工97
15555222585ユ925759989157
85ユ558596
工6ユ61
5546 ワろ5
568
2ろ5
168
155
101
49
12195506425054928024
151551887949618150工5
626ろ5725975101524
5ろ5
165
106
77
61
45
22
ワ21ワ
2027824507516084559574279
1067415085721265104548825509856006
7228
ユ575
782
497
557
291
218
109
5045
8275
100521290818258295604242415485281947
2167992727112220
2429
528
265
166
121 ’97
71
55
1194051657ろ86994955469062111294ヱ59549
55768140595594565411944741941
8272
工795
894
565
409
522
245 ユ27
4047
10555工2964
16565228605672252584
1857701577555415254520815055
2569
555
276
175
128
102 75
59
4999
128591584720207276404426665550
2285742180604464545647814964
2959
654
516
201
145
115 88
44
ワ628
1946ユ
2407850654417696680595550
549586549748699工54
8850022081
4529
954
464
295
215
175 ユ28
64
1895086628441215
！96527695648445
6091995
41921105265ユろ4
85
62
49
57
ユ8
69
Table 11 θ識60，Eo
A
0
丑
2
A重
O
丑
2
π
O
丑
2
π
5＿π2
機潤90
95100105110115ユ20
150180
9095
100工05
110115ヱ20
工50
9095
工00
105110ユ15
120150
90
95100105ユ10
115ユ20
150180
go
95100105110ユ15
ユ20
150
9095
100ヱ05
110115ユ20
150
90
95100105110115120150
1
10－7 10－7ユ0一710－710－710－710－810－810－910－9
12Total
10－lo10一1210－7
0．14●10一1 59 505 1228
16511ユ616591595 894 1461 1474 1170
ユ092ユ549ユ4121004 1201 1599 ユ195 828
1266 ユ264 1045 705
1520 1157 911 609
806 57］L 440 288
589 405 509 20ユ
ヱ6241222818647522440580178ユ24
1474ワ98
501579505255218102 7ユ
ユ0605 522ワ 21ワ90 7789 99ユユ
4ワ57 ユ997 7606 2580 5147
2941ユ18944621502エ8252ユ48 86052ユ2ユ081150717C5 6ワ92550 8491027ユ420 566 2105 706 855
ユ219 484 1800 605 751
568 225 855 280 559
595 ユ56 5ワ9 ユ94 255
ユ5529477127601978155412891105
512 555
56506108566055564767455559752065ユ468
0．28910一3 5
18 ユ41
107 226
186 265
259 282
272 275
516 288
515 568
59228242252252254259284
150245202187工80
165164186
214205147ユ25
1エワ
104ユ04
115
221ユ59
957569616066
1745856554450595545558568
951572227174158158ユ55
146
4069
ユ457859565955515505542
ヱ499492290221199175ユ69
182
1956604554267241210205220
5061920557405566517510555
776928922964
1002970
ユ02ユ
1528
0．72D10－3 4
17 101
255 654
514 7ろ8
551 687
612 656
606 586
660 475
51
585771748646566504569
19176870059148！
405556245
585ワ茄
559412524266229150
501 480ワ
545 5542554 2ヱ61255 工479195 ユ120
工58 900155 76286 481
5205 ユ6127 6555 9545
1591 64！0 2224 2761
905546611781445 605 2292 776 945
455 1714 578 702
565ユ56ワ 46ユ 5585061144 585 467
191 71』0 258 288
152244229219214551064
845 707 455
1806279250212915255725252116ユ716
0．28・10－3 5
25 ユ82
162 542
510 458
596 467
481 485
542 494 655 455
442 504
59295567419418415409549251
150515506511299288280250151
2142612252091941841ワ7
14295
221178140125115108ユ05
8155
17451102859715651606580455295
951479544289262245251180117
4069184915021087981909862668454
1499655440567550505290224146
19567ワ8
55ワ
445400570551271ユ76
506111848146ワ4
605560551410266
77611951597
ユ60616611715174816551ユ0ユ
0．58。ユ〇一3 5
15 86
250 595 499 715
556 695
642 66ワ
654 6ろ5
595 427
41
50702726652594545551
1556556585754864245842工8
50ワ
6254915995272ワ9
247155
401 5845 2562 12901465 5020 1556 5466
522 ヱ969 824 5157
246 1454 587 2222
197 1150 459 1751
166 944 5811455145 822 550 1254
77 452 171 657
5244 74741896 2554
1075ヱ5ユ4755 916584 708485 585416 5052ヱ4 258
12178
56し6ヱ9971589
工074
886 762 591
144520C7275028262562245622821541
0．28．10－3 5
12 99
46 97
41 59
25 27
10 9
0 0
159 115
591591045624
8
0
87
15017’0
874217
6
0
57
21414265
2811
4
0
56
2219740ユ7
7
2
0
20
1745598258
96
58
12
0
115
951 4069260 100497 56959 14615 57
5 工8
0 057 167
1499544125
49
19
6
0
56
工956422152
60
25
7
0
68
5G61642251
90
55
11
0
102
7ワ6
6495972ユ6
96
54 0
408
0、11・10－1 125
648
767
850
870
911
615
48
84510δ81088967869784456
402125510679928267ユ8
629555
9851205847705572484420220
1299925592455561502262155
1179604565266209ユ74
150
77
8551559921501509
1！78976841455
41821511861604469589554171
17451575552512256174914471242
657
625119521088759587485417214
ワ9282581ユ520918710586504258
122625610199915891074
886
762
591
4520462240985ワ655295297727421572
ワ0 学akao SムTO
A
π
A1
0
丑
2
π
機潤90
95100105110115120150180
9095
100105110115120150
1 2 5
10一7 10－7 10鴫7
4 5 6
10『7 10一7
7 8 9 10 11
10－710｝8 10－8ユ0一910『9
12 Tota1
10－1010一1210『7
0．72・10－3 4 51 ユ9115 660 518 822 969
71010191055 7761005 944 954970 864 948917 ワ87 777 560 454
589405 509
19ユ
8658818ユ5
705618556286201
585826677569475405558177工24
50ユ
61444555028524ユ
21010171
4807 5205 16127 6555 9545
5991 ユ795 7224 2506 511127ユ8 1ユ58 4559 ユ482 18ユ5
2041 856 5165 1071 ユ504
1655 664 2505 844 1025
1575 554 2085 705 851
ユ192 478 1ワ88 602 750
567 225 855 280 559
595 156 579 194 255
1522447662757ユ9781554
ユ289ユ105
512 555
1806514557984022570655445506
202ユエ468
identical with（・・芸）
0．14・10一1 145
ワ11
791
822
850
846
685
59
99111621122958829727485
5051472
1ユ721025818685585575
12281414950727567462589245
16241085650469557288245151
1474708599275207166159 86
106654221255815561167
951
780
482
52271772945625465571510191
21790674955472527ユ75215801152
709
778922891194785582465587258
99112795ユ449947705559467288
1552942542195工4551064
845 707
455
56505422450058805262284125451752
71
Table 12 θ＝60，E！
A
0
A1
0
丑
2
π
喫～、
＼
0
50
60
65
70
75
80 85
％（85＋θ！’）
θ！’
θ竃”
θ1，”
％（90＋θ1’）
90
95
100
105 1ユO
l15
120
150
180
50
60
65
70
75
80
85
％（85＋θ！’
θ蟹’
θ晋”
θ1’”
％（90＋θ1’ 90
95
100
105
110
115
120
150
50
60
65
70
75
80
85
％（85＋θ！’
θ！’
θ竃”
％（90＋θ1’ 90
95
100
105
HO
115
ユ20
ユ50
1 210『810一8
5 4 5 6 7 810『810『810『810『8工0－8⊥0｛8
910－9
10
10－9
11 12 Tota1
10一1910一1210－8
15 158 16 175 27 282 56 545 46 442 58 625 95 997 198 2155 255 2757 525 5694 0 4
525 5698 722 7561576515779
15928 12444工1986 8250
9902 6186
80964569 7866 4185
6595 5654
5174 1757 2146 1187
250 214 197 155 82
291 504 248 167 101 475 496 405 272 166
578 605 491 528 199
742 768 622 415 252
ユ040 1074 868 578 550
1655 1705 1578 9工8 556
5687588751842工40局02 4698 5005 4］L52 2820 1750
66187645701850465466 ユ06 609 1472 2012 ユ900
6725 8252 8490 7055 5566
15585 12906 9700 6077 5520エ6042 11296 6848 5700 ］951
8501 4652 2461 1225 615
5152 2781 1445 7工0 554
5767 2018 1042 510 254
2807 1554 808 402 202 2521 1564 714 554 178
2176 1152 59］L 289 145
1059 549 281 157 68
705 571 190 95 46
55
45
70
84
107147254551758
1594741
27891419721217125
89
72
65
50
24
16
154 46 56 85 906 165 56 69 105 115δ 270 94 工15 171 1858
524 110 155 205 2256
409 159 171 260 2875
564 192 255 556 4014
898 ろ06 575 567 6585 21ユ6 72工 885 1542 18654
2845 972 1195 1816 18775
6459 2266 28δ0 4584 る0249
5757 2255 5065 4890 61／75
12176 450工 5915 9274 31022
5554 1770 2工58 5225 465ZO
2558 855 9761459505ワ6 750 242 278 415 56617
451 105 160 256 25685
508 99 114 16919845 249 80 95 157 15455
218 69 81 121 14596 175 55 64 95 12060
82 26 50 45 5867
55 18 20 50 5966
12
ユユ
15
14
15
19
54
41
42
0
42
75
2641927192617991745178416742050
150 220 250 188 126
117 197 206 170 115
1工9 201 212 175 119
ユ29 217 250 190 150
ユ51 255 268 225 152
196 550 552 295 204 529 562 617 559 586
575 647 727 652 479
451 799 959 919 757 0 224105210 451 801 962 1024 967
815ユ5501759ユ5UO102819182559ユ85g l197 67720681465 849 465 25ユ1468 949 525 21／6 1511
1199 747 405 211 104
1011 624 542 ユδ0 90
995 608 552 ユ75 87
992 598 519 164 80
ユ155 672 556 182 89
7771758094
12724751554725079751756811768524544404ヰ
55 ユ2650 11751 12054 15240 15755 214110 458ユ45 575280 1215ユ91 10644ソ1 2247
269 1054工40 50241 14424 8418 6516 5515 5414 4915 55
454041455474
15520144745ユ
81／8
55216546292018171517
55 80 49 75 50 77
55 85 66 101 91 159
190 291252 588586 9ユ7622 1022
1208 1959
455 656ユ95 292
54 80
51 46
24 55 21 50
20 50 18 26
20 50
861779799869
101415402405287940877119
48666576754259844486578655845572524ユ5775
19
41
49
59
72
98
172215168
S2975ユ9
5540641756554800445556992629
200 556 552 288 194
41工 690 724 597 406
485 809 841 717 470 568 955 959 745 492
697 工150 1205 1004 695
907 1476 1δ75 ユろ28 951
1668 2181 2551 20と）4 ユ495
1479 2569 257δ 2z84 1690
1616 2678 2897 25i16 1928
214750577675548140212970258222551476
54644869594256772561
ユ868ユ5971556877
57554859561720751407
ユ054876726464
555058162009
！105757548465575258
2524248610295505642752501841ユ6
118250290605457589976
11191295
17251481525277182158116
91
58
50 ！94107 416125 4δ6154 55δ188 756260 1027448 1δ14
521 2129615 2546
84261518998644941
5220
556025556585402221701451ユ1
70
66 81 125145 ユ76 267⊥67 2し6 514
191 245 578
254 515 480
557 444 680640 8081246756 961ユ48491511691811
1298787212119
7ユ
54
45
55
22
1690962247工27
82
64
55
41
26
26421454567188125
94
79
61
58
1521275752125559462460879590
1045711777
15474181852201516459124999752864872614907
ワ2Takao S△TO
Table 13 θ＝60，E1
A
丑
2
A1
0
丑
2
π
黙漕 0
50
60
65
70
75
80
85
％（85＋θ1’ θ1’
θ1”
θ1’”
％（90＋θ霊’
90
95
100
105
110
115
120
150
180
50
60
65
70
75
80
85
∋6（85＋θ！’）
θ1’
θ1”
％（90＋θ！’）
90
95
100
105
110
115
工20
150
50
60
65
70
75
80
85
％185＋θ1’ θ1’
θ雪”
θ！”’
％（90＋θ1’
90
95
100
105
110
115
120
150
1 210－810－8
510『8
4 5 610『9ユ0－910－9
710－9
810一書o
910『一〇
ユ0
10〔”
ユ1
10－12
12 Tota1
ユ0輔310『8
9 101 170 17871470 4 59 66 690 567
G O O O O O 4 7 72 59 1 14 25 245 199
5 55 56 590 491 8 85 140 1490工254 25 225 587 4262 5727
50 279 485 5466 4906
55 557 655 7472 7524
0 0 1 187 854
55 557 656 76598158 65 717 1572 15606 15526
258ユ895252018001119642469 2649 1878 10887 595229ユ2 22ユ7 1455 7925 41682970 1986 1258 6721 5499
5560 1751 1082 5957 5154
5128 ユ749 1070 5856 5071
285ユ ユ692 102ユ 5452 28ユ1
2586 1448 860 4555 2558
1601 887 526 2778 工426
995584
0
40
154556867
2675561160401672
77ユ29145674529602064172215591527
ユ5771141696
610255
0
25
82
208540
17152559457ユ19896560562556611495
ユ055859785768684567545
2601 ユ005 5450 4222 640
ユ005 586 15ユ7 1654 245 0 0 0 0 0 104 41 156 ユ75 26
550 152 454 545 δ6
894 545 1189 ］．455 222
2547 915 5ユろ5 5904 595
7664 5046 10624 ユ5211 2025
10755 4522 15ユ64 19068 2928
22582 9707 55775 46855 7550
ユ5554 8267 54504 49940 8190
57756 17974 70279 96795 ユ5540
25958 9225514ユ758590 58571590ユ5005ユ64551947729105525ユ848590269011022 5655 262 4404 4722 695
1 5028 044 55ユ4 5904 577
2785196250875652 556 2724 944 2996 5496 522
2406 85ユ 2679 5087 454
1989 686 2179 2542 577
1212 418 1675 1544 229
672260
0
27
91
224568
166021655255621
55515741726576696779626565125925552748202960
14
27
55
59
49
67
125158122
S226 1612254 2501
4581 64255652 49105290 58554755 29654655 26965896 258工2こ551 1521
150 255 2647 2ヱ70 1465
277 466 4895 4052 2766
525 541 5658 4650 5176
578 655 6642 55ユ7 5792
468 777 8200 6885 4777
625 1058 ユ1072 9426 6658
972 1594 17529 15246 11140
1079 1751 18950 16955 12586
1185 1982 21587 19286 14496
8961709
ユ967255929924209728985579760
2608 28500 25595 19514 152255721 57575 29802 19551 117155011 50615 17062 8744 44705515 18769 ユ0020 5004 2518
2458 ユ5549 7115 5520 1765
ユ875ユ059955182757 ユ5901670 9ユ74484、2414 12ユ5145工 77904050ユ976 984 786 416ユ 2157 1045 518
5825 1476 5059 6ユ74 940
7559 2856 9806 ユ2σ76 1845
8508 5514 1ユ595 14工19 2152
10256 4009 ユ5847 ユ7070 2611
ユ5089 5155 ユ7751 22019 5560
ユ8659 7582 2565ユ 5ユ962 4899
55469 ユ5547 47806 60582 9502
5902ユ 15981 5684ユ 72ユ86 エユユ55
46408 19256 69008 88258 ユ571ヱ
64627 2756548841 18564ユ6072 5616
8955 5101 6224 2152
4940 17ユ6 4515 ユ498
5459 1194
ユ821 627
9941855214225555ユ504294692977218780
99744 129844 20521 1175262970 76655 ユユ64ユ 14054
ユ81ユ5 2ユ066 5128 ユ8454
ユ0896 ユ1577 17ユ2 ユ4701
6855 7990 H891189ユ5495 6447 949 9708
4767 5559 851 9022
58ユ4 4449 654 77ユ5 ユ998 2515 545 4591
15
19
25
24
24
28
42
49
48
0
48
78
258工559822596206
61
0
622
1561972082542492954154δ5
528 0
52887718951456626265101
54
0
548
2625525514004工9
495714789959
2
94116792520ユOl8405165
65
21
0
207
27485498570942104425527778658882
1ユ060 277
11557191051800159012257
897
545 115
0
1095
22612892506754455680
444ユ68757975
ユ08411254
12075165ユ4
1ユ964
52ユ6ユ177
467
ユ81
59 0
562
1550196620852518251950724955586789402475114151119867451604
585
250 90
50 0
274
958
ユ209ユ28214ユ51558
ユ9145165585464702945941568845661810291115
45
ユ5
0
156
40005176548960ユ167068504
141581747955128227275585529555159012887ユ051
404
ユ59
54
0
477
ユ54420022ユ2525ユ52601525756ユ67028
145691224026609ユ129150051005
559
141
54
18
0
165
5266
6855
7264
7900
8944
11168ユ956724652529565105010596658454ユ6455
5225
1271
445
177
59
0
522
6492
8599
8944
97ユ6
109871575624580509656957175548
1429ユ9
4ワ261
194ワ7 5725
ユ517
518
209 68
0
608
985
ユ280156214ワ6ユ675210257564758
ユ0882121262500871692910
554
195
75
51
10
0
90
858152014011574
ユ6772012506255164818919
5757ワ028726441581914856565115
0
U59
75
A A1
5~ ~
* 'f
,¥ 61~¥~O~"
50 60 65 70 75 80 85
1/2 (85 + 6 *'
o,' o , "
6 , "'
1/2 (90 + 6 *'
90 95
lOO l05 llO l 15
l 20
l 50
l
l 0-8
2
l0-8
5
l 0-8
4
10-9
5
l 0-9
6
l 0-9
7
lO-9
8
l0-1 o
9
l O-1 o
IC
l 0-1 1
ll
lO- -1~'
l 2
l 0-1 3
Total
l D-8
14 27 56 44 52 78
162 201 256
C
256 558
2891 l0179 8447 6871 5904 5294 4280 2585
IS1 295 542 417 563 845
l 766
2192 2976
5
2979 661 9
l 2420
9262 5877 451 6
5250 2846 2481 l 629
256 494 580 708 96C
l 454
5052 5821 5574
88 5462
l 076S l 2712_
621 8
5684 2655 l ~' 6 5
1721 l 078
788
2685 Sl 96
61 15
7455 10072 l 5058
~21 b8 41 185
62499 S052 67551
l 04597
89870 54985 20050 l 4124
l 0680
9527 7900 41 71
2201 4275 5022 6092 8251
l 2292
26561 5444S 57751 12204 69955 78760 54594 l 8556
l 0427
7507 5608 48~5 4065 2140
l 482
2887 5586 4106 5525 8249
l 7964
25529 45581 l 6708
60089 49453 29555 9229 51 52
5585 2782 2450 1987 l044
904 l 766
2068 2509 5560 5019 l0986 l 4484
2871 4
15802 4451 6
28666 l 5588
4655 2561 l 782
l 598
121 9
987 518
5841 751 8
8794 l 0678 l 421 9
21 247
46726 61998
l 52586
99421 251 807 l 1 5752
57717 16405 9021 6265 4958 45,27
5469 l 821
l 480
2897 5582 41 15
5457 81 54
17985 25944 55540 47756
l 01 296
451 60
20480 5684 5119 21 66
l 721
l 498
ll 94
627
5059 9897
ll 577
l 4029
1861 4
27785 61581 81 947
l 88546 l 86276
674822 l 44508
66647 l 8296
l C896
6946 5559 4767 681 4
1998
61 74
121 22 l 41 65
l 7252
22745 54050 75275 lOC652 257442 2551 48
492590 l 74~*,66
78088 21066 l 1577 80*<･6
6447 5559 4449 2515
940 l 845
21 57
2624 6459 5171
l 1441
15515 *<,6524
4U757 77261 26562 l 1 6'J7
3128 1712 l 189
949 851 654 545
IC06 l 951
2295 2789 57~9 **61 8
12U57 l 5442
24925 5625
50550 581 85
59e65 27201 18296 l 5828
ll014 9760 7820 4428
74 Takao SATO
Table 14 O =60 , E1
A
lr
A1
O
7r
7r
* *f
,: ~¥O'"
O
60 60 65 70 75 80 85
1/2 (85 + o ,')
o ,'
6 *"
1/2 (90 + o ,')
90 95
lOO l 05
llO ll5 120 l 50
180
50 ~O 65 70 75 80 85
1/2 (85 + 6 t')
o,' 6 , "
o , "'
1/2 (90 + 6 *')
90 95
lOO l 05
llO l 15
120 150
50 60 65 75 75 80 85
l/2 (85 + o ,'
o,' o * "
o , "'
1/2 (90 + o ,'
90 95
100 l05 llO ll5 l 20
l 50
l
l 0-8
2
l O -8
5
l 0-8
4
l 0-8
5
l O-8
6
l 0-8
7
l O-8
8
l 0-8
9
l O-9
lO
l0-9
ll
lO-t o
l 2
lO- i 2
Total
l 0-8
12 15 24 50 57 47 69
156 l 82
l 57
S 269 266
5509 7557 7585 71 24
6547 5480 5059 21 20
l 55
l 62
248 292 552 451 644
1521 1240 l 566
1912 2694 8285 6665 5404 4556 5868 5594 1719 ll77
227 275 417 496 595 758
l 088
20'/8
l 99C
251 4
6095 4429 652a 4527 54v6 27~0 2409 2081 l 025
698
267 518 440 51 9
660 81 l
1589 21 52
21 88
2588
5567 4469 4C05 2575 l 920
l 5G8
l 528
l 120
544 569
l 95
258 ~66 451 528 688
l009 l 850
1965 2506
5025 5667 2259 l 576
lOIO 799 702 581 280 190
152 161 252 297 666 482 714
l 61 2
l 466
l 958
2505 24CO l 151
688 500 599 651 285 l 57
95
81 99
156 185 229 605 455 851 975
l 498
l 579
l 446
589 547 251 201 177 l 42
68 46
55 42 68 80
lOO l 56
202 688 456 712
775 606 21 2
l 25
89 72 66 50 24 16
165 l 65
265 51 4
596 524 801
l 569
l 565
2944
5279 251 O
742 427 606 248 21 8
l 75
82 55
46 56 90
l08 l 66
l 82
279 556 665
ll 55
ll95 787 259 l 50
98 79 69 55 26 18
56 69
ll2 l 54
l 68
225 548 698 842 1489
1554 957 278 l 60
ll4 95 81 64 50 20
85 l 05
170 204 257 545 565
l075 1502 2562
2426 l 454
415 256 169 l 67
121 95 45 50
891 lll5 l 675
21 98
241 l
51 21
4754 8590 8956
ll 251
l 5987
16915 2584D l 9 928
l 6750
l 4555
l 2895 l U965
5705 5951
l 2
ll 12 l 4
l 4
19 54 42 40 O
40 69
254 l 895
l 922
l 779
l 724
1768 1654 2002
l 26
ll4 ll8 l 26
l 47
191 520 565 442
O
442 796
l 885
2046 l 465
ll 91
l 002
988 984
ll24
214 l 92
199 215 249 625 551 665 lOIO
2
l012 l 529
251 5
1455 946 745 620 605 595 668
224 206 209 227 265 646 608 719 958 25
965 1745 l 827
845 525 404 540 550 51 8
554
184 168 l 72
l 88
21 8
291 ~50 646 918 l 07
l 025
l 490
ll91 459 275 21 O
l 80
l 74
164 l 82
l 25
l 14
l 1 7
l 29
149 20. 580 476 7Sl 21 O
961 l 024
675 260 l ~6
l 04
89 87 80 89
76 70 72 79 92
125 245 51 l
559 246 785 650 567 ll6 68 52 45 44 40 44
65 50 51 54 40 54 l09 142 274 l 87
461 268 l 59
41 24 18 l 6
15 l 4
15
l 26
ll7 l 20
l 62
l 55
21 2
451 571
ll 82
997 21 79
l 054
502 144 84 65 55 54 49 55
45 40 41 45 55 75
150 201 454 414 848 552 165 46 29 20 18 17 l 5
17
55 49 51 55 65 90
l 88
252 568 599
ll67 455 l 95
54 51
24 21 20 l 8
20
80 75 77 85
lOO l 58
287 588 890 976
l 866
656 292 80 46 55 60 60 26 60
845 765 789 857 996
l 51 8
2565 2847 4256 769
5002 641 l
7268 5926 4474 5758 5655 5548 521 2
6758
l 8
58 51 61 69 99
l 98
245 505
O
505 665
5451 l 1905 91 27
6929 5755 4669 5877 2654
196 412 482 584 765
ll06 2245 2694 5688
4
5692 81 81
l 5227
l 0864
6595 4597 5166 2646 2272 1474
555 699 82C 994
1~1 8
l 907
5957 4795 6768 ll2
6880 l 5475
15699 72'/ 7
4019 2695 l 950
1617 l 567
875
551 758 869
l051 l 597
6022 4251 5245 7955 647
8600 151 54
lll44 4095 21 88
1449 l 052
882 729 465
288 610 71 8
867 l 150 l 6b 6
5521 4428 7696 l 574
8970 9962 6787 2172 ll41 751 555 464 576 258
194 41 4
487 587 776
l 1 24
2585 5C44 5581 2160 7741 6265 5679 l 081
562 568 275 251 l 84
ll6
l 18
254 298 560 474 687
l 456
l 881
5705 2044 5747 5659 l 748
546 280 l 85
l 58
ll6 91 58
50 l 08
l 27
l 54
201 292 619 808
171 l
1288 2999 l 471
720 l 92
99 65 49 41 52 20
194 41 8
491 595 774
l 121
2578 51 26
7005 6190
151 95
5490 2554 666 541 222 l 70
l 46
lll 70
66 145 168 205 264 585 81 2
l 071
2441 2414 4855 l 859
855 212 ll9 71 55 45 55 22
81 176 206 249 624 469 994
1518 5075 55C5 6580 2222 976 247 127 85 64 55 41 26
l 25
267 51 4
580 492 716 1511 2004 4754 5280
lO014 5551 l 4S9
567 l 88
l 25
94 79 61 58
1515 2776 5267 59SO 5214 7548 15798 19645 51 754
7269 59005 47971 49005 51 825 l 9880
14056 l 0768
8904 7455 4906
ワ5
Table 15 θ＝60，E2
A
0
A1
0
丑
2
π
鵡 0
50
60
65 70
75
80
85
％（85＋θ1’ θ1ダ
θ！”
θ電”’
％（90＋θ1’ 90
95
100
105 1ユ0
115
120
150
180
50
60
65
70
ワ5
80
85
％（85＋θ1’ θ1’
θ1”
θ霊”’
％（90＋θ1’ 90
95
10G
ユ05
HO ユ15
ユ20
ユ50
110一8
2工0－8
510一8
4 5 610－810一910－9
ワ
10｝9
810一10
910一lo
10
10一”
11
10一12
12
10一14
Tota1
10－8
152ユ9ユ
552569455715
1ユ48ろ2ワ8
24572842 0
28426625825528602207ユ6071267ユ125925440297
174 149220 190586 550465 579584 517826 ワ141ろ481ユ754405 404ワ5498 52855798 5618 1 20
5799 56587157 51004255 2267
1270 648819 598589 285467 227411 200557 165160 ワワ
エ08 52
109 757 444 256 1055139 929 557 519 工2852ろ91584 959 555 212929519251155 645 25655ワ424551448 819 526451854242021 1ユ44 455185656515529 1879 743729551916411089 6169241552566 18056 11179 6524 26752
295922576 14952 9264 40429
11728984059 590825070ろG76252741901115172654992955 15899 7962 4008 142421092 5206 2406 1152 5915
5041426 655 510 1044181 855 578 179 604
150 598 270 128 427
エ04 479 217 105 545
9工 421 工91 90 504
74 541 155 75 24ユ
ろ5 162 ワ5 ろ5 114
24 109 49 25 ワ7
586 1517 1589 2406 621 481 1589 1952 2951 ワ85 790 2655 5178 4858 1555 958 5225 5859 5857 15961212 4041 4905 7400 20451680 5584 676510ユ70 29172747 91711105216662 4771888D29ろワ45527655118155％エ0092541414ユ5416269715ユ55158815484568282ユ04529154181215847715658501055ユ0 ユ57628G59102558154112209859167954955159551856927422206741517 4151 4905 717515999
554 ユ090 1226 1861 4446 200 656 681 1090 5128 145 454 499 772 2265
118 565 409 590 1792 104 518 565 545 1585 82 254 295 451 1298
59 125 ユ56 204 618 26 82 95 ユ56 418
14ろ
129120129170220411551405
0
40589914495ユ7
412520278270255284
165149151162194255518461486
0
4861005799258157119104100
94
104
140128154144165218440424442 0
442808456125775851
494550
102 681 416
94 656 585
98 659 598106 715 455122 851 509
162 1120 695
550258815805542511171555728522090 4 195 41036150252500511291615212151024 476 58 275 125
55 162 7426 122 5525 107 4922 105 4721 95 4525 ユ05 47
240222229251296408985
109114545081942785228
59
55
26
25
22
20 22
9ワ2
905
951
1026121716954540495070754059111522856
776
200
118
86
77
ワ5
68
75
565 1226 1498 2270
541 1155 140ワ 2154
550 ユ180 1455 2179
586 127ユ 1589 2406
459 1544 1907 2860 645 2179 2679 40861721 5995 7556 11552
1984 6992 8808155ワ55019 11078 14546 224282229 9445 15756 22609
5248 20521 28102 4505ワ
1008 55ユ4 5859 5675 265 817 999 1450
68 209 256 554 59 125 141 215
50 95 104 165 26 82 95 156
25 77 91 152
25 ワ5 82 125
25 7ワ 91 152
580551559581695918
188417982050158
218851542568821591454595585560599
50
60
65
70
75
80
85
％（85＋θ1’）！
11列
％（90＋θ1’）1
90
95
100
105
110
115
120
150 1 ［
216450484565727908
1574ユ221ユ491 S461854752工80ユ622ユ111858715579571
247520621726841
1055169514551590
241527521054629418516266215155
2114465216097工4
899144115261299
14811715551510204154150105
65
155 1049 656 521 2149 1507
566 2424 1476 429 2841 ユ757
514 5468 2141 652 Σ卜446 2782
1005 6608 4C61
966 65574099 925 6565 4092
959908265ユ42
95ワ1
604750
611546081246659451526274217157
57252221572299195148124
98
62
5677628661025126ワ16682459249225ろ4
2185！092272141
92
70
59
46
50
1489
ろ1465618450455557146
10669109961工291
91485805926472509256200154100
56511991589
ユ66220612797427744154565
5546128051，5
159104
82
68
54
55
1907 2270 5496
4086 4994 7582
8855 5857 8944
5720 7057 ユ0760
7082 8762 13595
9625 12076 18452
1502ワ 19115 29555
ユ5665 19658 50465
16117 20475 51462
121224151
955
499
55ユ
245
209
165
104
1495749051090
590
572
286
241
186
118
2555671751654
865
590
418
550
277
175
88018252105246129705762582855755651
8995807955592550
ヱ58611981015818521
ワ6 Takao SムTO
τable 16 θ胃60，E2
A卜
丑
2
0
丑
2
π
機潤
0
50
60
65
70
75
80
85．
％（85＋θ竃’
θ1’
θ雪”
θ霊’”
％（go＋θ！’
90
95
100
105
110
115
ユ20
150
180
50
60
65
70
75
80
85
％（85＋θ1’ θ1’
θ！”
％（90＋θ、’
90
95
100
105
110
115
120
ユ50
50
60
65
70
75
80
85
％（85＋θ1り θ1’
θ曾”
θ！’”
％（90＋θ1’
90
95
100
105 1工0
115
120
150
110－9
210－9
510一9
4 5 6 710一1010一lo10一1010『”
810『”
910『12
ユ0
10『12
11 12
10『1310『15
Tota1
10－8
1095 1275
424 491 0 0
40 50
122 156 559 4ユ5 911 1061 275ユ 5505
2158 5044
2762 5586
0 0 2762 5586
7260 8578
1508ユ 7624
6562 5056
6162 2554
5267 1970 4780 ユ795
4717 1762
4526 1596
5468 1270
22ユ4 809
1095 8045 5445 5501 19025
422 5101 2097 1271 7555
0 0 0 0 0 45 551 222 156 772
工59 1026 695 422 2452
555 2624 1798 1108 6447
908 6756 4694 2915 1720ワ
2990 22459 工6508 10825 675102860 22865 ユ7584 11954 764545098 25106 19990 14800 101878 0 269 1540 2892 56002
5098 25575 21550 17692 1578806785 45055 24659 12862 665114226 20825 ユ0079 4699 226091568 7414 5496 1605 7627
1155 5280 2445 1108 522工
959 4586 2020 915 4515
877 4018工861 840 5995 859 5956 1816 822 5904
ワ74 5528 1625 7155 5496
615 2797 1289 581 2ワ24 591 ユ780 822 572 1771
7718 29056 9852 11895 18160
299611550 5814 4585 6810 0 0 0 0 0 518 1ユ80 404 499 772
999 5768 1271 1544 2561 2679 9988 5405 4177 6556
ワユ28 27240 9554 11550 17252
299工9 118948 4ユ768 522ユ0 79904
54751 159852 49052 62652 9624850459 215650 78996 105058 1607ユ628920 159554 67646 98518 16255279559 575004 ユ46642 201576 52524824244 85552 28148 52688 48124 77ユ8 26552 8172 9554 14074
2588 8626 2655 5042 4540
1771 5902 1861 2154 5225
1455 4994 1544 1725 2679 1517 4540 1407 ユ654 2561
1517 4495 1562 ユ589 2515 1180 5904 1226 1407 2088
908 5087 955 1090 1654 590 1998 656 726 1044
454175
0
18
56
1495851278
ユ2161422112
1555262524051044886749682671612488512
1606 1852 1585
2855 5415 2956 50ワ8 4041 5429
5524 4655 5958
4699 5576 4695 6229 ワ585 6540
9419 11987 10510 8852 101ユ9 9581
12157 12417 9855 S
55555 18562 11ユ18
2620221298 15410ユ8265 8920 4685
14476 5688 2808ユ0582 4025 1969
8558 5172 1554 ワユ68 2746 1549
6ユ72 2290 1115
5508 1212 587
11656412472428G280895464047198721566928068985
7886 4794 27694 11505 42676145ユ9 8771 51458 21585 8ユ720
16144 9879 58205 24425 9597818764 1ユ554 68599 29056 112592
255ユ7 14592 86714 56685 14210251959 19855 118676 507ユ2 ヱ98598
47566 28997 174018 76227 50690447250 29764 181555 80176 52279447057 50ユ14 185958 82764 552782
68881 44655 275657ユ614 56515 1765822528 ユ0601 487612916 5995 2715 9026 4168 1889
7125 5501 1494
6197 2869 1505
5076 2558 1058
2670 1250 554
14528 17252 26552 27694 54050 522ユ0
52254 59952 60856 59044 48ユ24 75548
49052 60582 92616 68554 85552 150752108052 158924 2ユ42881ユ4862 ユ45280 222914117152 149820 25ユ086
1619876859927015094886116678 86850 50146 102604 55142 59044 25290 7900 26786 8172 9554
ユ2894 4515 14528 4540 5221
8898 2996 9988 5225 5587
7e82 2406 8172 2497 286G
6174 2088 7264 2179 2497
4994 ユ680 5448 1725 2045
2655 865 295工 955 1044
1752445720414074
7718
5448
4222
5677
2996
1544
66012051578159519752685412558564548
6854625550002111151811981055875466
168421502046217527085255508258584800
0
48009646
ユ508155551755
699
269
91
0
875
195124922605277551265772647554155885
0
58851115176241645
665
262
101
54
0
519
16762159
25ユ8247826755226552250875585 2
558590124226849525127
49
17
0
155
125261575817052182871978124005414824067845625 467
44092571772082540151485
581
227
77
0
704
8545107051145412551155661667↓5011850951547562528
5706452758100791895
686
268
104
55
0
524
50626519692474758540
ユ0551
ユ9994
21265257195021
50740170894699
867
515
125
45
16
0
工47
291925ワ72759997455124871461065124668工56018
17706062516
2595768854822609
4151
1455
590
222
77
0
690
11895155911654417751200672557955252617448766750212
工5ワ879
52189 7718
1407
499
191
77
25
0
252
44492581126174467ユ927627297156
2197562487925ワ4550
2769406514901工5500
26552 4540
1680
656
259 86
0
772
149821952220884227002587855142767268762215710811758625469457228
8172
ユ455
545
209 77
27
0
245
18160240622542427694515264040696248
111250ユワ88ワ6
17161255048845150
9554
1654
590
252 91
50
0
277
27694565205859042222476706ユ290
1480041711582ワ9664
2825885620526401414074
2452 908
554
152
45
0
409
697891950995
1ユ251561256221652484195
267854882405565249
99
58
15
0
125
77
A Al
5
~7c
* .f
~~~O~"
l
l 0-9
2
l0-9
5
10-9
4
1 O- 1'o
5
l O-t o
6
l O-i o
7
lO-t t
8
10-1 t
9
l0-1 2
lO
l0-1 2
ll
lO-1 3
12
10-t 5
Total
l0-3
60 60 65 70 75 80 85
1/2 (85 + o ,')
o ,'
o ," o ,"'
1/2 (90 + 6 , ')
90 95 lOO l05 llO ll5 120 150
1609 31 90
3455 4522 6482 9615
26009 19857 58565
O
58565 54209 6641 6
21455 15805 l ll 58
8651 7841 6284 5515
1875 581 4
4485 5685 7624
11 224 31 247
28958 29669
6
29675 S8688 541 59
9574 5904 4114 621 7
2850 2508 1212
1618 5556 401 9
5084 6655 9929
27584 27455 29521
169 29490 41 982 l 81 86
4892 2875 l 996
l 567
1579 lll8 587
l 1 921
24586 29455 57052 48780 75779
204564 215557 244525
981 l
254154 245282 87557 22967 15119 91 05
71 66
6285 5089 2671
8065 l 651 5
l 9559
24456 52475 49556 159469 l 51 821
186676 24405
21 1081 l 50981 41 755
l 0786
6047 4200 551 l
2901 2549 l 250
4881 9898
l 1650
l 4468
l 9501
29572 84561 94590
l 25521
54295 l 5981 4
65600 l 9268
4955 2756 l 895
1496 151 l
l 059
556
281 1 5
56561 66695 821 1 O
l 09494 l 68026
486569 551 999 78041 8
~50576 l ll0994
~~0554 92271 25506 l 2954
8965 7099 6200 501 2
261 7
l 1597
22757 26692 52844 4~671 67078
l 96789
226605 541 620 21 21 48
555768 l 1 7482
61 560 791 2
4562 5004 2584 2085 l 671
877
42805 84892 99589
l 2261 8
l 62~75
249065 7~6995 857894
l 54~686 l 050920
2574606 40E6~4 l 05559
26761 l 4540
l0166 81 29
71 OO
5654 2968
14441 28658 55645 41 055
54286 85756 248880 290298 464892 404700 869592 1~1 ~46 551 69 81 45
4626 ~255 249~ 2177 1748 951
l 7564
54520 40574 4981 5
65465 l 00654
600971 5551 25
578865 558060
l 1 56925
l 552~7
69200 9508 5221 3604 2872 2508 2050 l052
26540 ~21 65
61458 74994 98879
152085 455586 552954 884794 894600
l 779594 226207 57295 l 5962
7951 5545 4227 ~692 2981 1551
670 1565 l 589
2000 271 4
4065 l 1279
l 0949
l 5858 l 165
l 5020
l 6958
l 1248
6545 2247 l 575
l 228
llOl 886 467
ワ8 Takao SムTO
Table 17 θ＝60，E2
A
π
A1
0
丑
2
π
幽潤
0
50
60
65
70
75
80
85
％（85＋θ1’ θ1’
θ1”
％（90＋θ1’ 90
95
100
105
110
115
120
150
180
50
60
65
70
75
80
85
∋6（85＋θ璽’）
0！’
θ1”
θ1”’
％（90＋θ1’）
90
95
100
105
110
115
120
150
50
60
65
70
ワ5 80
85
％（85＋θ1’）i
θ1ダ
θ1”
θ1’厚
％（90＋o！’）
90
95
100
105
110
115
120
150
1 210－810『8
510『3
4 510－810－9
610一9
710－9
810一10
910－10
10
10－11
11
10『12
12
10嵐14
Total
10一8
155 167 146 159 197 1ワ2
255 286 252
260 555 507
519 454 575 449 540 467
625 748 647
1021 1501 1157
9871106 1059115512901060 S4185 2206 12995097 25ワワ ユ6ろ9
2541ユ162 6ヱ51955 777 5851469 566 278
1182 454 225
1051 400 196 874 528 160
427 158 77
291 107 52
106 712 451
125 859 5ユ2187 1289 799
220 1478 910
269 1805 1115
541 2528 1452
474 5260 2058
805 5542 5504
776551555617765695 5995
7885078512588ユ 4522 2ユ91
2951ろ95 642178 825 575
128 595 268
105 476 216
90 4ユ8 18975 558 ユ5555 ヱ6ヱ 75
24 109 49
250 1026298 12504ワ2 1970559 2279665 2819867 5686
ヱ245 5566
1995 8744
2054 9098
2678 15089
1867
ユ081507工78
127102
89
72
55 25
79655ワ64ユ044595427545504241工14
77
586 ユ517 1589 2452
468 工589 1952 2951
758 2588 5ユ55 4812
885 5042 5768 57201099 5768 4722 7219
1455 4949 6129 9552
21ユヱ 7509 9ユ25 14029
5505 12440 15572 24198
5646 12984 16299 25242
5589 20521 26877 40678
5096
ヱ280554200145118104
82
59
26
106244ユ511090
656
454
559
518
254
125
82
15257 212474905 7ユ75
1226 1861
726 1090 508 ワ90
415 608 565 556 295 4ろ1
156 204 95 ．156
590696
10561226142519522694455442684758
80047524588528672121170515101246604411
1251ユ8
1151221491955ワ1
512572
0
572828
1292506404514272265250279
157140152ユ64
186242469414460 0
460971761256155118ユ05
9995
105
157122ユ29
1421622工4
421401407 0
407791425122765850494550
99 66790 61695 620
ユ01 6ワ8
118 799158 1079525 2558527 2477506 2189 4 185
510 2572504 2891209 101258 27255 16226 12225 ユ0722 10521 9525 ユ04
4055765774ユ4
489668
151216861471410
188工1512471125
74
55
48
47
45
47
254219221242286594951
1075955481
1456782227
59
55
26
25
22
20
22
962894917
1008118516484195486245453852857728ろ8776200114
86
ワ7
75
68
75
565 1226 ユ498 2270
556 1155 1407 2154
550． 1180 1455 2225
586 ユ2ワユ ユ589 2452
449 1544 ユ861 2860
651 2154 2655 4041
1666 5857 7509 11259
1970 6946 8762 15575
1916 6946 9080141652工02 8898 12984 21558
4018 15844 22064 55505
1008 5514 5859 5675 265 817 999 1455
68 209 2ろ6 554
59 ユ25 141 21ろ
50 95 104 165 26 82 95 ユ56
25 77 91 152
25 715 82 125
25 77 91 152
555504518565659875177417121755ユ51
188450462589808582448589578554595
2054464665678541266520625522798 0
279865978162247816991125842711576566
242529621ワ59
10181550595855625926 1
5927754542521114641420515265215154
2094615656898991572549054525825 22
584555012261571515204154150105
65
154541415509666
1016265527525ヱ76129
5505ろ0871090269145
95
71
59
47
50
1045251127795405448268091808219611242945202
274961666551991262
661
451
527
274
217
157
65515981665205926864C61
1102912268165754499
2087285652406
578
500
195
148
124
98
62
565 804 95511661555250965697204
10ヱ994557
1455642201152
275
142
92
70
59 46
29
14895260ろ850469461569250
2576929678447012785072551150525915
926
477
509
256
200
154
100
558
122114441757229754579702
ユ12501758815525511155250ユろ17
3工5
159
104
82
68
52
55
1907
4151
4812
5947
7718
114415259758181609725507511404516798
4151
955
499
551
245
209
165
104
2270 4994 5857 7128 9507
158925972546444759547525014918419615
4905
1090
590
572
286
241 18・6
118
5496
7556
8944
1085114074209755985770052
ヱヱ6088
11755925544728920
7175
1654
865
572
418
550
277
ユ75
865
189822202715565055511455815751ヱ62511524
1777521228ユ589858812428159912001012
815
516
ワ9
Table 18 θ＝60，E3
A
O
A I
0
互
2
π
黙 0
506065707580
ヲ6（80＋θ！’）
θ1，
θ！”
θ1’”
85
87．59095
10Q工05
110115120150180
506065707580
％（80＋θ1’0雪’
θ冒”
01”ノ
85
87．59095
100105110115120150
506065707580
％（80＋θ♂ θ1’
θ7”
85
87．59095
100ユ05
1ユ0
工15
120150
1 2 5 4 5 6 710一Io10『1010『Io10一1010幅1010－1010一11
810｛“
910『12
10 11
10｝12 10『43
12 Total
10己1510－8
7962
工0172172062116127415468656586489655164128 0
164128128217256451875172200412891
9024
7440
6522
5290
2509
1691
5582 4129 2825 工809 1057
6976 5555 5652 2506 15ろ5
12120 9565 6522 5976 2277
ユ6495 12257 7875 4815 2729
22258 工5985 10245 6245 5527
27859 21580 14445 8972 5072
47576 57084 24879 15459 8705
67919 55518 56248 22627 12796
125571 97547 72472 52189 55858 20 489 2655 6557 8740
125591 98056 75ユ07 58526 42598
202289 1ワ028D 116562 74096 45181105776528722455611420520027501ユ2609 555825091115
6691 5056 1552 596 265
5812 1716 749 555 148
2689 1212 528 256 105
2209 996 455 195 86
19158 875 580 工71 76
1570 707 508 158 61
754 555 146 66 29
502 227 99 44 ユ9
5965 2572
7477 2960
12641 4955 ユ5144 5956
19501 7659 27879 10802
47681 18400 70202 27122205867 88268 85476 55198
289545 141466245828 97590
24665 8505 5254 1756 1259 412 695 250
491 164 40ろ 155 552 117 286 95
ユ55 45
91 50
8867 2975 5591 5448 20110815 5671 442ワ 6674 25818248 6G74 729110987 55522022 7555 885515595 56428169 95891129616980 7405949515086156452551715276708422！8626491597701709988975271759067587482448545125118090145888222551485125775510工029159058222825 5086008802191ユ92849264455745158565504121％514ワ45922505D644627859 876810047148005855 5805 1814 2061 50421145 157ユ 450 490 726 284 764 259 272 400 165 545 169 196 286 116 445 159 ユ59 256 95
590 ユ22 141 204 85
516 99 114 165 68 150 47 54 77 55 105 51 56 55 22
7475 5054 5859 265816956860 4615 5557 24291566
6924 5205 5952 2570 1605
7575 5648 4277 2810 1ワ57
8989 5947 4558 5160206612056 7965 6095 42812847ユ5000 9945 7545 557玉5650195491704812455 86806442 0 0 5 85 41ろ
195491704812440 87656855 9262 15168 17652 14878 ユ1005
59489 18968 10002 4790 2278
ユ7247 5475 2515 1工08 500 4186 ユ285 586 256 11δ
2・＋92 ワ40 554・ 145 65
1859 549 248 109 49 165こ5 490 222 97 44
1594 475 214 95 42
1476 459 198 86 59
ユ625 485 217 95 45
990 558491ワ 5221951 5266
1022 5811
1226 7057
1721 9945
2252 152574644 5159888510941
5529 425597ユ87 45902
1e55 5059225 1044
51 241 29 154 22 工01
19 89 19 86 17 80 19 88
2225 8ユ72 2815 5560 4994
2088 77工8 2655 5178 4994
2154 8056 2710 55ユ4 4994
2561 8855 5005 5677 5559
2847 10714 5609 4404 6628
4086 1ε481 5266 6401 9ワ61
5525 21156 7219 8855 15484
15509 65966 24062 51281 48850 8749 48079 20294 29692 48896
24258 114045 44356 00975 9774618950 74047 25560 51689 48こ551
1712 5811 1816 2088 5042 548 1162 565 415 615
79 265 82 95 159
45 150 45 55 ワ8
54 109 55 40 58 50 100 51 56 55 29 95 50 55 51
26 86 28 52 46
29 95 50 55 51
188エワ5
18520022650558562054
65468864422754522502020202
1124426054296525455459521456955240054569 S
605817484577515190501007864705040425455652120
7474 5719 4016 2545 1499
16611 1工776 7615 484！ 2885
工8986 152工6 8577 5270 5177
2！801 15ユ24 9599 6042 5655
27564 18797 ユユ897 7492 4501
51957 22ろ9ろ 14269 9065 5505
35545 2521ワ 16068 10119 61155
42426 55567 2ユ042 12195 6758
189464460126012586950071959150512641002
651
9092276281217026751557
876
679
570
452
284
5451152595441
117ろ 596
585
296
249
197
124
466782012462529266171155112
88
55
40294190↓106256118
76
59
49
59
25
8509 5415 1277工 4294 5205
16792 6990 26857 9196 11525
18827 8058 31455 10901 155752ユ777 9582 56982 12885 16126
26542 11281 44069 15271 ユ9025
528651419856工54196262465456797 16055 64006 22500 2840258582 16258 64789 22925 29206
50615215725181ユ099
548
556
275
251
185
1ユ5
1652078861751
565
182
119
91
76
61
58
720722799057651216
607
595
504
256
202
工27
2679791111814
582
190
工25
95
79
64
40
5550810ワ5ワ
2061 456
218
141
109
91
75
45
7865 28517266 604
20825 682
24707 785
29192 950
57950112045858 1265454181506
55647162995055
640
518
204
ユ59
156
104
68
905
148ろ1046248ユ29
85
65
54
45
28
80 Takao S▲TO
Table 19 θ＝60，E3
A
丑
2
A霊
O
丑
2
π
黙漁 0
50
60
65 ワ0
75
80
％（80＋01’ θ冒’
θ1”
θ1”’
85
87。5
90
95
ユ00
105
110 ユヱ5
120
ユ50
ユ80
0
50
60
65
70
75
80
％（80＋θ！’
θ1，
θ1”
85
87．5
90
95
100
105 ユ10
115 工20
150
5G
60
65
70
75
80
％（80＋02’ θ1’
θ！”
θ1”’
85
87．5
90
95
100
105 ユユ0
115
120
150
1 2 510『1010－1010－10
4 5 6 710『1010『1010－1◎10一”
810一11
9 ユo
10一1210一1～
11
10－13
ユ2 Tota1
10一一510『8
5725 5859 2964
2220 1489 1146
0 0 0 228 170 129
706 528 402
1880 ユ248 957
4874 5258 2474
7756 5080 5909
1工997工07417ε69 0 0 511997 10741 7872
614996981155254724164058564169515405 488 2
55501656 745 5725 111工 501
5020 907 410
2852 855 585
2792 855 577
2505 748 5157
1988 595 267
1264 577 170
2059 1518 776 4406
789 510 500 1706 0 0 0 0 85 55 51 178
266 167 98 558 667 459 265 15ユ2
17461169 711 4145279219081185 70145491 4080 2954 20228 50 256 557 6970
554145565511271989908 7416 4882 299844077 1928 887 4259
1098 496 221 1055 527 147 65 506
218 98 45 202
179 80 56 167168 75 55 156164 74 55 155
148 66 29 156
117 52 25 108
74 55 15 69
1770 6628 2225 2701 4086
686 2568 864 1049 1584
0 0 0 0 0 72 275 95 115 1ワ5
227 862 292 558 540
6ユ6 2527 ワ8ワ 959 1455
1710 6514 2216 2711 4122
2％811515 5872 4765 725910004 42785 15665 20450 51945 5655 51161 工5202 工9586 51955
15659 75944 28865 59816 65896ユ5005 50958 17626 21869 55596 1455 4840 1524 1745 2585
545 1151 560 409 608 102 558 106 125 ユ77
67 224 70 82 118
56 ］』84 58 68 95
52 175 54 65 91
50 ユ69 55 59 9ユ 45 151 47 54 77
56 120 58 41 64
25 78 24 27 40
14556000619
4812419859022
41249556022569485957565526ユ6
5725 5859 2964
8250 5489 4194
1618710678765118468 12100 848721954 工4226 991424699 17489 12工825ユ506 21691 1555055626 24264 1747925500 27962 25591 S
45296 14299 67475587ユ 52475 2280560725 20617 969015982 4977 2275 9126 2755 1255 6240 工877 849
5068 1519 686 4420 1524 598
56111079 487 1880 565 255
2059 1518 776 4406 1770
2892 1877 1112 6548 2567 4969 5175 1908 11182 4692
5418 5426 2077 12585 5551
6520 5992 2421 14475 6267
7788 4949 2995 工7766 7599
9765 6195 5768 22546 9768
11217 7085 4295 25748 11226
15025 8780 4845 27268 1ヱ455
57801128045401002
5ろ9
571
500
261
2工5
111
6628 2225 2701 4086
9655 5257 5959 5999
18151 6251 7700 11745
20988 7507 9151 14048
24796 8664 10865 16687298ヱ8 ヱ0561 12952 ヱ9872
ろ87ユ5 15550 17051 26工67
4475515751198485054745506 16102 20542 52028
285626762075711516507066108 5ユ55 ユ6254 59ワ8 2ユ510
1969 885 4148 1585 4620 450 201 959 512 1059 242 107 501 166 554
166 74 546 115 581
155 60 278 92 5D8
工17 52 242 80 268
95 42 197 66 218
50 22 105 54 114
14520858ワ
455510609765869898
19004 25509 40000 665 6965 8255 ユ2262 ユ102
1454 1655 2448 825
526 575 547 208
174 198 289 118
119 157 200 80
96 110 ユ65 65 84 96 142 5ワ
68 78 ヱ14 47 56 41 60 24
879611187117171255014228175572041025995 0
2599511596472551695128851045
599
16ユ
54
0
502
590ヱ75018747957ヱ9446
115501540121481 0
2148117975225125404
885
512
120
48
16
0
150
454557576649
7ユ4872428809
工051215757 5
1574221409116502487
405
141
54
22
7
0
68
5工27597945774720505062187565
10985 101
110841856255461098
177
61
24
9
5
0
50
20212585274429655522416250548160
511
8671157452622
496
79
28
11
4
1
0
15
119015501601
ヱ75419882552512759081115702190491207221
55
12
5
2
1
0
6
676ヱ87229151
99ユ21144514755185054045415945545975557157661055
165
57
22
9
5
0
27
27工8551957124059466260917751
200．07
1127551280240981952
545
55
19
7
5
1
0
9
ヱ01761521214041ユ5506176122519729846855656255714790094405
6585
1151 ユ85
65
24
10
5
0
50
542444554761
5ユ9559607889
10214515252641057755526662072
560
57
20
8
5
1
0
9
4151540758U655072469655
12569408575878079657405272571
409
66
25
9
4
1
0
11
6278 8184 8842 9655
1101114687191496588965921
ユ27810
61894 5512 606
96
55
15
5
2
0
16
22528551155455944252577945
825845762225581505021007000064
81
A A璽
5一π2
機潤
50606570
7580
％（80＋θ1’ θ！’
θ霊”
θ竃”’
85
87．59095
100ユ05
1ユ0
115120ユ50
1 2 5 4 5 6 710門。10－lo10一1010へ1010『1010－1。10一”
810一”
9 10 ll 12 Tota1
10－1210『1210－1310曹1510麟8
8555
17516209472595954ユ865489176207158018 0
1580181155812084256858416577
9265
6290
5102
4445
5622
1898
5810
1252116451205542540941560578工9
106515 16
106551176440868452工840
5059
2754
1884
1525
1527
1080
566
4478
9545
1252515407ユ9999525294581182992
410
854021472714554510048
2298
1241
851
687
598
487
255
5077
6505
7975
9971
ユ5550220565128261758
2242
6400010005920250
4441
1009
541
572
500
261
2工5
112
19814158489561298496
1578619668445605417
499776552494572001
451
245
166
155
工17
95
50
H6125942805548848587822
11188289747494
56468569554299
892
201
ユ07
74
60
52
42
22
6565
155951575519405267264505861650
17654971695
24824220851820425
4189
959
501
546
279
242
197
105
2625
5289
6190
7650
1040916685259077584145765
12160685257
6862
1591
512 ユ66
115 92
80
66
54
9784
ユ957122986285265817160995874ユ7
295ユ89
22ユ885
5ユ7074
5104ユ0
25070 4646
1059
554
581
508
268
218
114
5284
6555
7695
9466
12675202062895710167587011188684104ユ68
726ヱ
1454
526
ユ74
ユ19
96
84
68
56
5971
ワ866
9287
1140815ユ76
24工5554609
125685H9766245449125965 8277
1655
575
198
157
110 96
78
41
5999
11858ユ4048
ユ7185
228ユ656295521GO
19ユ801
192002585805190547ヱ2262
2448
547
289
200
165
142
114
60
2ユ8
455566705925
149520044102254
455655955152905214118
81
65
57
47
24
82 Takao S ATO
Table 20 O =60, E3
L
r
At
O
~ ~
~
* *f
,. o.¥O~~
O
50 60 65 70 75 80
1/2 (80 + o * ')
6,' o * "
85 87 . 5
90 95
lOO l 05
llO l 15
120 150 l 80
50 60 65 70 75 80
1/2 (80 + o * ')
o,'
o," o , "'
85 87 . 5
90 95
lOO l 05
llO l 15
l 20
l 50
50 60 65 70 75 80
1/2 (80 + o , ')
o,' o , "
o , "'
85 87 . 5
90
95
lOO l 05
llO ll5 l 20
l 50
l
l O- t o
2
l0-10
5
l O-1 o
4
lO-io
5
l O-io
6
l O-t o
7
10-i I
8
IC-! 1
9
l O-i 2
lO
l 0-1 2
ll
l0-1 3
l 2
l0-1 5
Total
l 0-8
7450 8768
l 5455
16606 l 9808
22956 51 189
57459 51 1 62
S S2488 59450 72565 20895 l 2465
8789 7257 6077 51 85
2449 l 672
5584 6229 9558
l 0928 l 5092
16411 22088 25426 25554
16649 66575 25205 6559 57S5 2657 21 86 l 920
l 556
757 499
5886 4500 6684 7662 91 44
ll600 15705 l 8589
20592
7758 2281 4 l 19~4
2995 1699 1204 988 868 705 555 225
2542 2945 4545 4906 5865 7492 lOC45 ll864 15058
401 4
1281 5
5~48 151 7
742 525 452 58a 508 l 46
99
l 621
l 885
2795 51 1 O
~728 4799 6590 7499 7740
5C19 6998 2450 592 555 266 l 94
l 71
l 58
65 44
962 l 1 28
l 689
l 889
2272 2920 5894 4547 4450
2657 5625 l096 264 l 48
l C5
86 75 61 29 20
5584 6575 9954
l 1512
l 5650
l 7405
25554 27260 2651 2
210C4 l 8864
51 75
l 258
690 491 401 552 285 l 55
91
251 5
2755 4206 4895 5944 7479
l01 42 l 1 905
l 2056
l 1886
6997 l 725
41 l
229 164 l 55
ll7 95 45 50
8762 l 0498
l 6528 l 95S2
25625 29441 40267 47S26 50674
54570 2501 9
5765 l 57a
764 542 445 591 51 6
l SO
l04
29Sl 6592 S651 6757 8280
l 0255
141 07
l 6725 l 8585
20665 81 97
l 814
451 259 169 l 59
l 22
99 47 51
6541 4420 6978 8468
l 0412
l 2825 l 7758
21 124
24456
27756 9751 2C66 492 274 l 95
l 59
140 ll5 54 56
5559 6756
l 06S6
l 5055
l 6C05
l 9708
27298 ..,2526
58448
44275 l 4808
5054 722 599 284 255 207 l 64
78 55
l 90
221 552 592 468 576 777 91 5
891
755 l 208
995 273 160 ll5 95 79 67 52 22
6817 6267 7025 8091 8･･06
l 0851
l 5120
l 5650 O
15650 8**78
40582 16957 41 55
2462 l 815
l 722
l 497
l 457
l 590
4584 4208 4771 5507 6042 81 1 l
l OC81
l 4255 O
14255 l 2885
l 9597
5451 1276 756 547 51 7
472 456 478
5492 5251 5587 5915 4569 5944 7542
l 1585 5
l 1586
l ~757 l r.1 64
2506 582 552 247 254 215 l 97
216
2458 2247 21 77
251 9
2869 5946 51 02
8576 70
8646 l 5755
4850 ll08 255 l 45
l 08
l 02
95 86 94
1590 l 475
l 585
1605 1840 2557 5566 6442 ~60
68.r,2
l 0432
2298 500 ll5 65 48 46 42 59 42
945 877 856 970
ll04 l 552
2077 4541 789
5530 6929 2160 225 El 29 22 20 19 17 19
5597 5051 4925 5725 6442 91 55
12599 5051 5 991 4
40227 42827 5065 l044 259 l 54
lOl 95 86 80 88
21 84
2045 2077 2421 2681 5842 5296
l 4654
8025 22679 l 8678
1714 548 79 45 54 51 29 27 29
82 1 2
7700 8045 9596
l C292 l 4858
20685 62059 44580
l 06459
75424 5780 ll61 265 l 49
lll l 05
96 89 90
2771 2602 2769 5257 5521 51 a7
71 56
22624 l 85 72
40996 25451 l 820
565 85 47 55 55 50 28 50
6567 6166 5424 4007 4551 6510 8895
29454 2761 O
57044 51 642
2082 41 5
95 55 40 ~8 54 52 55
51 Ol
4802 5252 6154 6604 9650
l 6608
46044 45507 91 S51
48555 5084 612 l 59
78 58 55 51 46 51
l 72
l 59
l 70
197 21 5
287 661 552 51
582 629 668 224 56 52 25 22 19 18 21
l 0853
25995 27886 54459 44579 72487 98270 176872
176872 l 55559
265755 85855 19161 lc099 6445 5al5 4205 5557 2079
7565 16824 22C96 27825 ~51 6~
540~8 76927
l 57948 21
l 57969 21 821 5
llll51 27280 5887 5Cl C
l 956
1501 1260 998 625
5675 16097 l 6789 21 1 75
26476 4262C 6 1 ~ 5'7
l 07859
555 l 08592 l 86699
55778 l 2546
2680 l ~58
875 678 569 40*l
285
5912 9006 l0975 l 5851
l 8245
29160 42047 80587 2957
85524 l 2_8912
2591 7
5557 ll76 59~ 585 296 248 197 l 24
2552 5785 681 5
8588 ll615 l 8445
26464 58405 71 58
65545 82594 121 06
2504 528 266 171 l ~5
ll2 88 55
l 492
~676 ~929 4926 6691
l C558
15069 581 25
9901 48C26 48~57 551 2
lll5 255 ll8 76 59 49 ~9 25
8476 19C14 221 15
27570 57258 58456 85101 252889 94855
527744 275521 26186 522,6
l099 548 556 275 251 l 82
ll5
5406 7~65 8844
l_0940
l 4625
22800 52268
l OC289
60625 160914 l09499
8804 l 7~6
565 182 ll9 91
76 61 68
l 2751
28114 55066 40678 55897 85644
l 18074
590875 2941 25
685000 408828 29596 5797 1216 607 595 504 255 202 l 27
4289 9416
l I 122
l 5650
l 7947
27769 39155 134729 l 15580
250109 l 57505
9515 1814 582 190 l 25
95 80 65 40
5199 l 1566
l 5477
16461 21 552
55259 46816
l 66655 l 58895
625528 166172 l 0618
2062 457 21 7
141 l09 91 76 46
7862 17155 20452 24829 52452 50022 70476
254446 254727 509176 251 568
15751 5054 640 517 206 161 155 l05 66
277 626 767 960
l 221
l 972
2778 5521 356
5656 701 8
4051 ll50 248 129 82 64 54 42 27
85
Table 21 θ＝90
Eπ A1
0
Eoπ 7
E，
π
0
㌻漕90
95100105110115120工50
ユ80
9095
100105ヱユ0
1ユ5
ユ20
150
9095
100105110ユユ5
ユ20
150
110－7
210一7
5 4 5 6 710一710一710嘱710－710－7
810一7
910『8
10 11 12 Total
10『810『910一”10－7
0．011 124
656
815
878 94ユ
ユ005
764
589
48
848107511221021958864545405
402
ヱ26010851025872775694417509
985
12ヱ1862726604525465274201
15001179950 606600 568470 275581 221526 188289 ユ65169 96124 71
85556ユ
216156124105955459
419ユ52
87625042572116
1745578528255185ユ56
ユ57
79
58
625ヱ96
ユユ0
786252462719
7951227259 562ユ54 20595 14575 115
65 9656 8452 4925 ろ5
452446454158590ユ54805216502219571468
0 0 0 0 0 05 04 68 72 60
119 250 269 224 ユ65
4ユ5 587 562 417 280
785 928 829 595 586
1279 1291 ユ10G 767 490
1807 1647 1565 956 595
4762 5595 2619 ユ725 1066
04ユ
105ユ67
228286545608
0
256196
129ユ61
195540
0ユ0
2559526577
155
0
4595
146195242287501
0
155249668197
168
0 0 0
18 27 2459 60 10260 90 215
79 ユ20 550
gg 149 456
117ユ77 585205 507 1226
00 55 41 147 86 501
254 604 7工2
514 758 748566 752 689
695 719 641
720 697 599
758 551 412
155657647591515458425272
507 401628 467498 527412 255545 20850ユ 1ワ9
275 160168 96
585505200148工19
ユ02
91
54
25615684614941
5621
ヱ290549520229185ユ55
156 79
5241901097862524627
7481218256 562155 20595 14575 115
65 9655 8452 49
ユ4462591279229ユ42705262925151919
設1 10『8 10一810－8 10－b 10一8ユ0『8 10－8 10－」 ユ0－9 10－9 10－1）10、1410一8
50
60
65
70
75．
80
85
％（85＋θ3’ θ盤’
θ！”
θ！”’
％（90＋θ墾り
90
95
100
ヱ05
110
H5
120
ユ50
19
55
45
51
57
84
175
2ヱ9
575
0
575
592
5ユ7810916905475286587602248955011
195
557
579
462
59ユ
872
182622455091
5
50946985
ユ28559542609845925501514528041600
519
565
628
772
992
14675108
585ユ5487
99
558611211］28796524580227672089
ユ8651656
960
552
585
655
805
ユ05415505278
4工176512
496
68081074789685551204214661122
ユ005 871
501
271478558655845
1246268754555804
ユ20570077999545518611056755589527444256
1855215624595658551804254545591664600549062928925518568291261217125
112195222267545506
110ユユ4442861157144522857ヱ54ユ
464260184146ユ50
108 62
48
85
98
118ユ45
2144666ヱ8
1518988
25071144568164
91
64
52
46
58
22
185
518
565
455
557
820
1790258855264747
ユ007542642014
567
515
222
179
160
150
75
62
109工24
148190279610818
1875184857251426655181ユ01
71
57
51
41
24
77
155工52
182252542748
1GO42559255048891717767211116
82
67
59
48
28
117202251276555519
1156
ユ5285650404476742590ユユ45
512175122
99
88
71
41
12522199247950255875572112244ヱ550225274559工
508665917140δ05281701912014795120011084792075456
84 Takao S▲TO
E勉 A1
丑
2
π
呉謹
0
50
60
65
70
75
80
85
％（85＋θi’）
θ雪’
θ1”
θ1”’
％（90＋θ1り 90
95
100
105
110 ユ15
120
150
180
110一！
210－9
5 4 5 6 ワ 8 910－3ユ0『31rBユ〇一810－a10－810『9
10
10『9
ll 12Tota1
10へ1010－92ユ0－3
14091411 1：L64 12ユ1
686 685 665 578 529 459 545 54工
225 2ユ9
ユ06 98
88 77
56 57
0 0
56 57
25 26
00 0
5990 625 22549 1660
41548 2699
62258 5549
89075 4754
1005185699185942 10242224815 12009
25520011596765657工7
15
10
0
10
5
0
44106167217288541601705
24ユ
2071181008059592115
12 0
12 6
0
255890
1181551815工6
569
197工70
97
826649
5216
1511
2
15
5
0
1451
47628295
162188
15511466564554221ユ
10
9
5
12 5
0
7
15255140457992
555017工5
12 9
6
5
5
5
2
6
ユ
0
1
5
4
5
7
8
1416
15511567564655251511151528
5
0
4
9
1419
25274755
4659251916
12 8
4
4
6
5
11 1
0
1
5
4
6
8
9
1518
564828241915ユ0
6
5
7
8
15 1
0
2
5
5
7
9
ユ0
ユ7
20
85 91174 78545 44656 57929 50422 22515 1486 758 58
11 5015 1024 612 21
0 02 1815 5108 85710 119014 ユ65515 189126 541850 4058
ユ0『8 10～ 10、10、10～ ユ0一。10一・ 10一9 ユ0－9 ユ0画9 10〔1）10－1a10一δ
0
50
60
65
ワ0
75
80
85
％（85＋θ1、）
θ1’
θ1”
θ1”’
％（90＋θ竃’
90
95
100
105
110
115
120
ユ50
20
55
59
46
55
74
157182154
0
ユ54
25工
256470560225646545850814705
50ユ1
188517565415559646996
1125
工224 0
1224164925886589500640275199289826541600
294 542 604 686 8111060160517652015 0
201526045806’5086
54052550198418111595
955
284541625709854
1125175219212170 0
2170280457945085191114061097989854501
216446510585715954
1517
170エユ951 0
ユ951252829961ワ111018758578521442256
157501546、401494672
ユ11212651449 0
144919241948876505562288258215ユ25
80185214249509427728858975 0
97551915844825418114515010762
558092
108155189555590461 0
461645482ユ61
906452465822
122509557421551750
1558ユ596ユ909 0
1909
27ユ618275605ユ1
221179160ユ50
75
41106125145185261480566685 0
685989618180100
7ユ
5751
4124
50
151151ユ80
227525606719875
0
875ユ285755210ユ16
82
67
59
48
28
75
199251274547498955
1工101557 0
ユ55720041145512175122
99
88
71
41
105720752569
27工555204576696078598854
0
885410921ユ540018946ユ521工
12505ユ0688979688555450
85
Table 22 0=90, E2
Al
O
7c
~
7r
* *f
,¥~ 6.)¥tC~;~
50 60 65 70 75 80 85
1/2 (85 + o *'
o ,'
o," o i "'
1/2(9C+61' 90 95
lOO l05 llO ll5 120 l 50
O
50 60 65 70 75 80 85
1/2t(85 + o , ' '
t' o I "
o I "'
1/2(90+0t' 90 95
lOO l05 llO ll5 120 150 180
4 5
l 0-8 1 0-3 1 0-9 1 0-3 1 0-3
7
l0-8 l O-9
8
l 0-9
9
l O- t ~
lO
l0-1 t
ll
lO-i t
12
l 0-1 3
Total
l 0-8
217 580 406 501 702
l 044
2695 2048 2508
O
2508 8197 7111 2295 l 708 l 21 9
959 852 724 420
258 428 501 61 O
795 1207 61 82
2808 5296
O
5296 5891 5446 980 612 465 642 506 255 l 47
206 569 441 555 686
l049 2755 2657 51 06
17 51 25
41 65
l 801
494 295 207 l 64
l 46
l 21
70
148 269 51 9
586 500 766
2040 2075 2509
97 2606 2689 861 250 l 55
94 74 66 55 52
99 180 21 O
255 515 S05
l 584
1472 188U 242
2122 l 280
405 l06 61 45 54 51 25 l 5
60 544 l07 615 124 7u7 150 850 196 Il09 299 1687 855 4789 920 5408 1250 7756 559 5261
1589 Ia997 641 5206 187 889 49 255 28 129 19 92 15 75 14 65 ll s5 7 50
159 246 285 540 442 670
l 954
2260 5569 2088 5458 l 1 58
505 79 44 51 24 22 18 lO
525 917
l056 l 267
1640 2484 '7255
8454 15220 l 0155
26555 6942 l015 265 145 l 02
82 72 60 55
1760 6080 5542 4247 5482 8295
24297 28650 45770 59744 85514 12595 5202 819 460 51 9
254 227 188 l09
215 572 428 51 5
661 998
2940 5486 5682 5477
lll59 1465 569 94 52 57 29 26 21 12
525 562 648 776 997
1505 4445 5285 8692 8769
l 7461
21 75
544 l 59
77 54 44 69 61 l 8
850 1526 1762 2145 281 O
4285 l 1682
l0700 l 6205 l 147
14550 19209 ll 620
5491 2579 l 691
l 552
ll85 999 580
)
50 60 65 70 75 80 85
1/2 (85 + o , '
o,' 6 , "
o , "'
1/2(90+e,' 90 96
lOO l05 llO ll 5
120 150
l O-~$
160 156 77 59 48 59 25 15
lO O
lO 6
O l 6
48 75
lOO 145 151 265 508
l O--
l 74
150 85 71 57 45 28 l 5
l 2
l 2
O l 2
6
O
7
18 27 56 47 55 95
l08
l 0-9
1471 l 256
71 8
621 499 562 256 l 28
l 09
l 06
O
l06 50 O
57 85
150 l 75
226 255 444 515
l0-9
l070 921 525 452 664 267 l 74
96 84 86 O
86 51 O
17 59 59 78
l05 ll5 201 262
l0-9
719 621 556 502 245 l 81
l 20
69 64 68 4
72 l 8
O
8
18 27 57 48 55 92
l06
l lO- -l lO- -
4555 5749 2146 l 81 8
l 471
ll61 746 457 446 498 97
594 92 O
57 81
122 165 21 4
256 410 477
2495 21 59
1241 l048 850 645 440 284 284 542 l 21
462 47 O
l 7
58 58 77
l Ol
ll2 l 95
225
l 0-1 1
lOll8 8751 5052 4278 5472 2649 l 828
l 258
l 509
l 694
967 2661 171
O
59 128 195 257 556 577 656 754
lO-t a
5801 4
52929 l 9044 l 6126
151 17
l 0055
6975 5025 5466 721 O
S51 9
12528 621
O
l 98
41 2
657 865 1121 l 274
2201 2519
lO- -I
1281 l
lll07 6451 S4S9 4446 5595 2674 l 748
l 877
2640 2254 4894 l 95
O
65 128 205 269 658 597 688 791
l 0-1 3
l 554S
l 5460
7815 6647 5 42 5
41 55
2901 21 91
251 6
6445 6297 6740 21 9
O
72 146 252 505 406 450 785 905
lO-1 4
2555 2040 l 1 85
l 009
822 628 441 657 669 558 542
l 080
55 O
ll
21 64 45 60 66
ll5 165
lO-8
620 552 506 252 205 l 54
lOl 56 47 49 04 55 20 O
25 68
l 05
140 l 95
209 566 424
l 0-8
l 99
279 560 405 510 665
l006 951
ll 82
O
l 1 82
581 l
2881 1954 IS54 11 56
928 855 71 l
420
l0-Is
254 517 448 507 579 746
l 226
l 021
ll78 O
l 178
1920 2185 91 4
588 425 657 601 252 147
l O-t'
l 87
268 571 424 492 650
l058 951 947
O
947 ll26 1545 474 286 204 162 145 121 70
l O-d
122 l 92
260 298 654 455 722 682 667
O
667 698 707 225 151 95 74 66 55 52
lO- -
75 156 l 72
197 241 61 2
476 465 456
O
456 448 557 l05 60 45 54 51 25 15
l O-~; I 0-9
40 208 95 S57 l05 616 121 714 149 886 195 I178 292***1 765 292 1778 288 1804
O O
288 1804 269 1597 172 841 49 260 28 150 19 92 15 75 14 65 11 55 7 51
l0-9
79 251 259 602 576 508 774 785 806
O
806 6 72
291 78 45 51 24 22 18 lO
lO-t v
285 884 998
ll 70
l 458
l 992
5095 51 52
5248 O
5248 2609 l005 265 l 45
l02 82 72 60 55
l O-t f
928 501 l
5427 4007 5021 691 4
l 0920
lll44 l 1 471
O
ll471 9027 6167 820 457 61 9
254 227 l 88
l09
l0-1 I
llO 570 425 499 621 861
1584 141 5
1455 O
1455 l 124
567 94 52 57 29 26 21 l 2
l O-t 3
164 562 645 761 949
l 520
21 41
21 85
2244 O
2244 1722 544 159 77 54 44 59 51 l 8
l O--
740 l 165
1514 l 725
2060 2662 421 4
5867 41 87
O
41 87
71 15
6475 51 29
22･2 l 626
1501 ll66 98~ 580
86 Takao SATO
Table 23 O =90 , E3
At
O
7r
~
7r
* *f
,¥~~ o'¥O~;~
O
50 60 65 70 75 80
1/2 (80 + o , '
6t'
ot" o , "'
85 87 . 5
90 95
lOO l 05
llO l 15
l 20
l 50
180
l
lO-9
2
l O-9
5
l O-9
4
l 0-1 o
5
lO-1 o
6
lO-1 o
7
l0-1 t
8
l 0-1 t
9
l O-1 2
l O
l O-t 2!
ll
l 0-1 3
12
l 0-1 5
Total
IC-9
796 l 071
2026 2411 2905 5802 5867 8251
l 8577 O
l 8577
2'7651
21 558
6826 l 765
985 685 544 484 572 225 l '70
51 9
726 1569 l 791
2197 2678 421 6
5955 l 5552
O
15552 27570 8476 2102 51 l
282 l 94
156 l 68
ll4 59 49
592 555
l 047
l 522 l 61 6
2056 5275 4651
l I 042
54 l I O'/6
19060 41 82
959 255 121 86 69 60 52 26 22
2671 5756 7097 8465
l 0265
14219 219U4 51 662 '7601 l
221 O
75221 llb~146 l 9555
4209 l005 545 576 501 268 221 l 28
96
1715 2409 4471 51 90
62+7 8680
l 5644
l 9527
4d650 551 6
5･*666
6801 O
8955 l 889
4 4 ' J
241 l 65
l 55
ll9 99 5 ,7
41
IC07 1406 2568 2950 5554 4860 771 6
l I a~4
29999 7558
5755'7
58045 4069 845 204 l 07
76 61 54 45 25 l 8
5705 7967
14~60 l 6455
l 9682
26'J95
42447 60698
l 78169
7UO~9 24~l '/8
210551 l 9~66
59~O 96'7
51 l
549 278 248 209 l 22
86
2288 ~1 66
5672 6498 77'J8
ID41 O
l 6428
2549'/ '/525'7
44b02 l 1 9d59
82u20 6441 l 626
608 168 l lb
92 82 69 40 2d
8552 ll8UC 20925 24058 28d61 5dl 4'7
59902 85'756
2901 22
216105 506225 506~65 2ld69 45,/6
l 016
555 6'19
505 2,70
22d l 51
95
2875 5959 69'71
~U48 9664
l 26d4
l 9d47
28665 99494 84,/4']
l d4241 l 02b59
･6dU~
l 562
61 6
l */5
ll8 94 84 71 41 29
5485 4782 8595 971S
ll659 l 51 55
26*164
65905 l 22529
ll6646 2591 '/5
l 25804 '/d U 'l
l 545
559 l ~6
l 64
l07 95 80 46 54
5270 7227
l 2650
l 4675
l 7604
22799 55659 50955
l ~6720 l ~66~8
675408 l 87074 l 1 526
2269 527 2d8 l 97
157 140 l 18
68 50
1948 2695 5071 6206 7b29 97~0
15296 21 657
52556 2485
5501 9
86114 51 280
88b7 2259 l 257
858 685 608 481 2,i7
215
-(J l 0-9 lO- -l 10-t l O-t - 0-It l O-t t lO-t - l O-1 ~ l O-t 3 l O-t 3 lO-'4 l 0-1 6 l 0-1 u
50 60 65 70 75 80
l/2 (80 + o I ')'
6t'
o," o , "'
85 87 . 5
90 95
lOO l 05
llO l 15
l 20
150
691 597 528 268 199 l 58
l 04
69 O
69 86 55 O
9
26 45 60 78 78
l 49
4441 2562 2541 1884 l 279
847 675 596
O
596 1270 l 47
O
55 78
l 21
l 64
216 242 425
55'70
1901 1728 l 582
950 605 501 452
O
452 lOll
69 O
l 7
55 52 78 95
ll2 190
2556 l 296
l 126
950 691 462 554 502
O
602 657 654
O
9
17 26 55 45 45 78
l 4･8 5*7
~¥!:o l~L
8499 71 46
5796 4687 2989 2421 2250 l 68
2668 4U45 l 62
O
62 71
l 05
l 41
l 85
21 2
562
8696 499S 41 70
5575 261 ~ 181 5
l 500
l 600
502 l 902
258C 7~
l 5
50 46 65 84 91
l 56
49592 284~4 2~6d9 l 9261
l 5UOl
lO**21
8862 l 0946 5 '7 7 7
l 4722
15'750
561
70 l 45
21 5
297 584 442 768
l 9826 l 1 4'/9
9620 786,7
6U88 454~ 6*/14
541 4
5050 8464 5706 l 22
25 49 72 97
l 27
144 251
741 Il
45Ul d 5 6 5 'l2
2965'/
22980 l'/ 079
142,1 l
261 56
16d55 59971 21 89~
41 4
O
75 165 268 62U 420 477 828
24927 144'72 1251 '/
l OUbl 7'/dl
5622 4878 8462 71 27
15589 .7492
129
25 51 74
lOO 151 148 257
5U155 l 7b84
15042 l 2288 94.78
6879 6000
l I 028
l U468 21 496
9269 l 48
O
27 58 84
l 15
l 48
l 68
292
45644 26616 22d58 l 8651
l 4569
l 0455
9159 l 7266
17249 5451 6
14CdO 218 5U9
85 124 166 21 8
247 429
6865 9589 8622 6771 4877 5264 2588 21 66
ll4 2281 5888 791
l 51
655 S59 7S2 972
l012 1870
i l0-9 l 0-9 l0-9 l0-9 lO-t l 0-l - O-t t l0-1 1 l0-1 ~ l0-1 J;L lO-t 3 lO-1 5 l0-9
50 60 65 70 75 80
1/2 (80 + o , ')i
ol' o t "
o , "'
85 87 . 5
90 95
lOO l05 llO ll5 120 150
ll52 1754 2100 2428 2585 5240 5776 2595
O
2596 471 7
5655 61 08
1702 976 674 544 484 572 225
714 ll81 1510 l 502
1746 2195 2450 2829
O
2829 1494 5204 l 994
505 280 194 l 55
l 68
ll4 67
460 829 905
l 028
121 9
1528 l 722
2618 O
251 8
l D62
l 979
926 228 124 86 69 61 51 29
259 557 574 651 780 968 l095 l 476
O
1476 884
l080 411 99 54 58 50 27 22 15
l 406
5402 5607 4096 4995 6191 6856 8565
O
8555 71 94
5825 1887 445 259 l 65
l 55
l 18
99 57
724 2059 21 82
2474 6028 5765 41 64
4684 O
4684 5058 2948 845 206 l07 75 61
54 45 25
57Ul ll946 15001 l 4'/98
18061 22~59 24860 26545
O
26545 52589 15264 5978 955 51 l
549 278 248 209 l 22
l 544
5U15 558,J
6425 7755 98U8
l 084S l I 081
O
ll081 14847 5658 l 525
507 l 68
ll5 92 82 69 40
4'721
19645 21 981
25579 60591 58887 4551 5 4691 6
O
45915 6041 9
20121 4574 l 014
555 579 505 2.7 C
228 l 51
l 552
6645 764S 8864
l 0574
l 6661
l 5257
15554 O
l 5554 2141 6
6585 l 56Z 51 6
175 l 18
94 84 71 41
l 782
8216 9551
ll 125 l 5220 l 71**4
l 9271
1981 2 O
l 981 2
27282 7746 l 544
558 l 96
l 54
l 07
95 80 46
2665 12556 14669 17094 20280 26427 29776 50766
O
50766 42258 l 1 589
2268 526 288 l 97
157 l 40
ll8 68
2562 4201 476'7
5428 6 1 92
7754 8784 8978
O
8978 8256
l 0841
8142 21 77
l 250
851 685 609 480 287