WeRead Powered by ReaderPub
Self-Help Mechanical Drawing: An Educational Treatise cover

Self-Help Mechanical Drawing: An Educational Treatise

Chapter 87: ROMAN TABLE.
Open in WeRead

Explore more books like this:

About This Book

A practical self-instruction manual that guides readers through learning mechanical drawing for industrial use. It explains basic techniques — chalk-work, freehand sketching, instrumental drafting, geometric constructions, and perspective — and emphasizes drawing to scale and accuracy. Sections describe tools, instruments, board work, and step-by-step exercises, with advice on persistence, first principles, and when to seek hands-on help from experienced draughtsmen. The text also outlines the draughtsman’s roles in design and production, how to read drawings, and uses sketching for quick communication in workshops, aiming to equip learners with the skills to produce clear, functional technical illustrations.

Useful Tables for Draughtsmen.

TABLE OF DECIMAL EQUIVALENTS.
8ths, 16ths, 32ds and 64ths of an Inch.

8ths.
18 = .125
14 = .250
38 = .375
12 = .500
58 = .625
34 = .750
78 = .875
16ths.
116 = .0625
316 = .1875
516 = .3125
716 = .4375
916 = .5625
1116 = .6875
1316 = .8125
1516 = .9375
32nds.
132 = .03125
332 = .09375
532 = .15625
732 = .21875
932 = .28125
1132 = .34375
1332 = .40625
1532 = .46875
1732 = .53125
1932 = .59375
2132 = .65625
2332 = .71875
2532 = .78125
2732 = .84375
2932 = .90625
3132 = .96875
64ths.
164 = .015625
364 = .046875
564 = .078125
764 = .109375
964 = .140625
1164 = .171875
1364 = .203125
1564 = .234375
1764 = .265625
1964 = .296875
2164 = .328125
2364 = .359375
2564 = .390625
2764 = .421875
2964 = .453125
3164 = .484375
3364 = .515625
3564 = .546875
3764 = .578125
3964 = .609375
4164 = .640625
4364 = .671875
4564 = .703125
4764 = .734375
4964 = .765625
5164 = .796875
5364 = .828125
5564 = .859375
5764 = .890625
5964 = .921875
6164 = .953125
6364 = .984375

TABLE OF DECIMAL EQUIVALENTS
Of Millimeters and Fractions of Millimeters.

mm.   Inches.
150 = .00079
250 = .00157
350 = .00236
450 = .00315
550 = .00394
650 = .00472
750 = .00551
850 = .00630
950 = .00709
1050 = .00787
1150 = .00866
1250 = .00945
1350 = .01024
1450 = .01102
1550 = .01181
1650 = .01260
1750 = .01339
1850 = .01417
1950 = .01496
2050 = .01575
2150 = .01654
2250 = .01732
2350 = .01811
2450 = .01890
2550 = .01969
2650 = .02047
2750 = .02126
2850 = .02205
2950 = .02283
3050 = .02362
3150 = .02441
3250 = .02520
3350 = .02598
3450 = .02677
3550 = .02756
3650 = .02835
3750 = .02913
3850 = .02992
3950 = .03071
4050 = .03150
4150 = .03228
4250 = .03307
4350 = .03386
4450 = .03465
4550 = .03543
4650 = .03622
4750 = .03701
4850 = .03780
4950 = .03858
1 = .03937
2 = .07874
3 = .11811
4 = .15748
5 = .19685
6 = .23622
7 = .27559
8 = .31496
9 = .35433
10 = .39370
11 = .43307
12 = .47244
13 = .51181
14 = .55118
15 = .59055
16 = .62992
17 = .66929
18 = .70866
19 = .74803
20 = .78740
21 = .82677
22 = .86614
23 = .90551
24 = .94488
25 = .98425
26 = 1.02362
10 mm. = 1 Centimeter = 0.3937 inches.
10 cm. = 1 Decimeter = 3.937
10 dm. = 1 Meter = 39.37
25.4 mm. = 1 English Inch.

RULES RELATIVE TO THE CIRCLE.

The circle contains a greater area than any other plane figure bounded by an equal perimeter or outline.

TO FIND CIRCUMFERENCE—

Multiply diameter by 3.1416.
Or divide diameter by 0.3183.

TO FIND DIAMETER—

Multiply circumference by 0.3183.
Or divide circumference by 3.1416.

TO FIND RADIUS—

Multiply circumference by 0.15915.
Or divide circumference by 6.28318.

TO FIND SIDE OF AN INSCRIBED SQUARE—

Multiply diameter by 0.7071.
Or multiply circumference by 0.2251.
Or divide circumference by 4.4428.

TO FIND SIDE OF AN EQUAL SQUARE—

Multiply diameter by 0.8862.
Or divide diameter by 1.1284.
Or multiply circumference by 0.2821.
Or divide circumference by 3.545.

SQUARE—

A side multiplied by 1.4142 equals diameter of its circumscribing circle.
A side multiplied by 4.443 equals circumference of its circumscribing circle.
A side multiplied by 1.128 equals diameter } of an
equal
circle.
A side multiplied by 3.545 equals circumference
A side multiplied by 1.273 equals circle inches

TO FIND THE AREA OF A CIRCLE—

Multiply circumference by one-quarter of the diameter.
Or multiply the square of diameter by 0.7854.
Or multiply the square of circumference by  .07958.
Or multiply the square of 12 diameter by 3.1416.

Contents of cylinder = area of end × length. Contents of wedge = area of base × 12 altitude. Surface of cylinder = area of both ends × length × circumference. Surface of sphere = diameter squared × 3.1416, or = diameter × circumference. Contents of sphere = diameter cubed × .5236. Contents of pyramid or cone, right or oblique, regular or irregular = area of base × 13 altitude. Area of triangle = base × 12 altitude. Area of parallelogram = base × altitude. Area of trapezoid = altitude × 12 the sum of parallel sides.

ROMAN TABLE.

I. denotes One.
II. Two.
III. Three.
IV. Four.
V. Five.
VI. Six.
VII. Seven.
VIII. Eight.
IX. Nine.
X. Ten.
XI. Eleven.
XII. Twelve.
XIII. Thirteen.
XIV. Fourteen.
XV. Fifteen.
XVI. Sixteen.
XVII. Seventeen.
XVIII. Eighteen.
XIX. Nineteen.
XX. Twenty.
XXX. Thirty.
XL. Forty.
L. Fifty.
LX. Sixty.
LXX. Seventy.
LXXX. Eighty.
XC. Ninety.
C. One hundred.
D. Five hundred.
M. One thousand.
X̅. Ten thousand.
M̅. One million.

SOLID MEASURE, OR CUBIC MEASURE.

This is used in measuring bodies, or things having length, breadth and height or depth.

TABLE.

1728 cubic inches (cu. in.) make 1 cubic foot (cu. ft.).
27 cubic feet, 1 cubic yard (cu. yd.).
128 cubic feet, 1 cord (C.).

CIRCULAR MEASURE.

60 seconds (″) make 1 minute (′).
60 minutes 1 degree (°).
360 degrees 1 circum. (C.).

The circumference of every circle whatever, is supposed to be divided into 360 equal parts, called degrees.

A degree is 1360 of the circumference of any circle, small or large.

A quadrant is a fourth of a circumference, or an arc of 90 degrees.

A degree is divided into 60 parts called minutes, expressed by the sign (′), and each minute is divided into 60 seconds, expressed by (″); so that the circumference of any circle contains 21,600 minutes, or 1,296,000 seconds.

LONG MEASURE—MEASURES OF LENGTH.

12   inches = 1 foot.
3 feet = 1 yard.
5 12  yards = 1 rod.
40   rods = 1 furlong.
8 furlongs  = 1 common mile.
3 miles = 1 league.

The mile (5,280 feet) of the above table is the legal mile of the United States and England, and is called the statute mile.

Tables of Diameters, Circumferences and Areas of Circles.

Diam. Area. Circum.
 0.0    
  .1   .007854   .31416
  .2   .031416   .62832
  .3   .070686   .94248
  .4   .12566 1 .2566
  .5   .19735 1 .5708
  .6   .28274 1 .8850
  .7   .38485 2 .1991
  .8   .50266 2 .5133
  .9   .63617 2 .8274
 1.0   .7854 3 .1416
  .1   .9503 3 .4558
  .2 1 .1310 3 .7699
  .3 1 .3273 4 .0841
  .4 1 .5394 4 .3982
  .5 1 .7671 4 .7124
  .6 2 .0106 5 .0265
  .7 2 .2698 5 .3407
  .8 2 .5447 5 .6549
  .9 2 .8353 5 .9690
 2.0 3 .1416 6 .2832
  .1 3 .4636 6 .5973
  .2 3 .8013 6 .9115
  .3 4 .1548 7 .2257
  .4 4 .5239 7 .5398
  .5 4 .9087 7 .8540
  .6 5 .3093 8 .1681
  .7 5 .7256 8 .4823
  .8 6 .1575 8 .7965
  .9 6 .6052 9 .1106
 3.0 7 .0686 9 .4248
  .1 7 .5477 9 .7389
  .2 8 .0425 10 .0531
  .3 8 .5530 10 .3673
  .4 9 .0792 10 .6814
  .5 9 .6211 10 .9956
  .6 10 .1788 11 .3097
  .7 10 .7521 11 .6239
  .8 11 .3411 11 .9381
  .9 11 .9456 12 .2522
 4.0 12 .5664 12 .5664
  .1 13 .2025 12 .8805
  .2 13 .8544 13 .1947
  .3 14 .5220 13 .5088
  .4 15 .2053 13 .8230
  .5 15 .9043 14 .1372
  .6 16 .6190 14 .4513
  .7 17 .3494 14 .7655
  .8 18 .0956 15 .0796
  .9 18 .8574 15 .3938
 5.0 19 .6350 15 .7080
  .1 20 .4282 16 .0221
  .2 21 .2372 16 .3363
  .3 22 .0618 16 .6504
  .4 22 .9022 16 .9646
  .5 23 .7583 17 .2788
  .6 24 .6301 17 .5929
  .7 25 .5176 17 .9071
  .8 26 .4208 18 .2212
  .9 27 .3397 18 .5354
 6.0 28 .2743 18 .8496
  .1 29 .2247 19 .1637
  .2 30 .1907 19 .4779
  .3 31 .1725 19 .7920
  .4 32 .1699 20 .1062
  .5 33 .1831 20 .4204
  .6 34 .2119 20 .7345
  .7 35 .2565 21 .0487
  .8 36 .3168 21 .3628
  .9 37 .3928 21 .6770
 7.0 38 .4845 21 .9911
  .1 39 .5919 22 .3053
  .2 40 .7150 22 .6195
  .3 41 .8539 22 .9336
  .4 43 .0084 23 .2478
  .5 44 .1786 23 .5619
  .6 45 .3646 23 .8761
  .7 46 .5663 24 .1903
  .8 47 .7836 24 .5044
  .9 49 .0167 24 .8186
 8.0 50 .2655 25 .1327
  .1 51 .5300 25 .4469
  .2 52 .8102 25 .7611
  .3 54 .1061 26 .0752
  .4 55 .4177 26 .3894
  .5 56 .7450 26 .7035
  .6 58 .0880 27 .0177
  .7 59 .4468 27 .3319
  .8 60 .8212 27 .6460
  .9 62 .2114 27 .9602
 9.0 63 .6173 28 .2743
  .1 65 .0388 28 .5885
  .2 66 .4761 28 .9027
  .3 67 .9291 29 .2168
  .4 69 .3978 29 .5310
  .5 70 .8822 29 .8451
  .6 72 .3823 30 .1593
  .7 73 .8981 30 .4734
  .8 75 .4296 30 .7876
  .9 76 .9769 31 .1018
10.0 78 .5398 31 .4159
  .1 80 .1185 31 .7301
  .2 81 .7128 32 .0442
  .3 83 .3229 32 .3584
  .4 84 .9487 32 .6726
  .5 86 .5901 32 .9887
  .6 88 .2473 33 .3009
  .7 89 .9202 33 .6150
  .8 91 .6088 33 .9292
  .9 93 .3132 34 .2434
11.0 95 .0332 34 .5575
  .1 96 .7689 34 .8717
  .2 98 .5203 35 .1858
  .3 100 .2875 35 .5000
  .4 102 .0703 35 .8142
  .5 103 .8689 36 .1283
  .6 105 .6832 36 .4425
  .7 107 .5132 36 .7566
  .8 109 .3588 37 .0708
  .9 111 .2202 37 .3850
12.0 113 .0973 37 .6991
  .1 114 .9901 38 .0133
  .2 116 .8987 38 .3274
  .3 118 .8229 38 .6416
  .4 120 .7628 38 .9557
  .5 122 .7185 39 .2099
  .6 124 .6898 39 .6841
  .7 126 .6769 39 .8982
  .8 128 .6796 40 .2121
  .9 130 .6981 40 .5265
13.0 132 .7323 40 .8407
  .1 134 .7822 41 .1549
  .2 136 .8478 41 .4690
  .3 138 .9291 41 .7832
  .4 141 .0261 42 .0973
  .5 143 .1388 42 .4116
  .6 145 .2672 42 .7257
  .7 147 .4114 43 .0398
  .8 149 .5712 43 .3540
  .9 151 .7468 43 .6681
14.0 153 .9380 43 .9823
  .1 156 .1450 44 .2965
  .2 158 .3677 44 .6106
  .3 160 .6061 44 .9248
  .4 162 .8602 45 .2389
  .5 165 .1300 45 .5531
  .6 167 .4155 45 .8673
  .7 169 .7167 46 .1814
  .8 172 .0336 46 .4956
  .9 174 .3662 46 .8097
15.0 176 .7146 47 .1239
  .1 179 .0786 47 .4380
  .2 181 .4584 47 .7522
  .3 183 .8539 48 .0664
  .4 186 .2650 48 .3805
  .5 188 .6919 48 .6947
  .6 191 .1345 49 .0088
  .7 193 .5928 49 .3230
  .8 196 .0668 49 .6372
  .9 198 .5565 49 .9513
16.0 201 .0619 50 .2655
  .1 203 .5831 50 .5796
  .2 206 .1199 50 .8938
  .3 208 .6724 51 .2080
  .4 211 .2407 51 .5221
  .5 213 .8246 51 .8363
  .6 216 .4243 52 .1504
  .7 219 .0397 52 .4646
  .8 221 .6708 52 .7788
  .9 224 .3176 53 .0929
17.0 226 .9801 53 .4071
  .1 229 .6583 53 .7212
  .2 232 .3522 54 .0354
  .3 235 .0618 54 .3496
  .4 237 .7871 54 .6637
  .5 240 .5282 54 .9779
  .6 243 .2849 55 .2920
  .7 246 .0574 55 .6062
  .8 248 .8456 55 .9203
  .9 251 .6494 56 .2345
18.0 254 .4690 56 .5486
  .1 257 .3043 56 .8628
  .2 260 .1553 57 .1770
  .3 263 .0220 57 .4911
  .4 265 .9044 57 .8053
  .5 268 .8025 58 .1195
  .6 271 .7164 58 .4336
  .7 274 .6459 58 .7478
  .8 277 .5911 59 .0619
  .9 280 .5521 59 .3761
19.0 283 .5287 59 .6903
  .1 286 .5211 60 .0044
  .2 289 .5292 60 .3186
  .3 292 .5530 60 .6327
  .4 295 .5925 60 .9469
  .5 298 .6477 61 .2611
  .6 301 .7186 61 .5752
  .7 304 .8052 61 .8894
  .8 307 .9075 62 .2035
  .9 311 .0255 62 .5177
20.0 314 .1593 62 .8319
  .1 317 .3087 63 .1460
  .2 320 .4739 63 .4602
  .3 323 .6547 63 .7743
  .4 326 .8513 64 .0885
  .5 330 .0636 64 .4026
  .6 333 .2916 64 .7168
  .7 336 .5353 65 .0310
  .8 339 .7947 65 .3451
  .9 343 .0698 65 .6593
21.0 346 .3606 65 .9734
  .1 349 .6671 66 .2876
  .2 352 .9894 66 .6018
  .3 356 .3273 66 .9159
  .4 359 .6809 67 .2301
  .5 363 .0503 67 .5442
  .6 266 .4354 67 .8584
  .7 369 .8361 68 .1726
  .8 373 .2526 68 .4867
  .9 376 .6848 68 .8009
22.0 380 .1327 69 .1150
  .1 383 .5963 69 .4292
  .2 387 .0756 69 .7434
  .3 390 .5707 70 .0575
  .4 394 .0814 70 .3717
  .5 397 .6078 70 .6858
  .6 401 .1500 71 .0000
  .7 404 .7078 71 .3142
  .8 408 .2814 71 .6283
  .9 411 .8707 71 .9425
23.0 415 .4756 72 .2566
  .1 419 .0993 72 .5708
  .2 422 .7327 72 .8849
  .3 426 .3848 73 .1991
  .4 430 .0526 73 .5133
  .5 433 .7361 73 .8274
  .6 437 .4354 74 .1416
  .7 441 .1503 74 .4557
  .8 444 .8809 74 .7699
  .9 448 .6273 75 .0841
24.0 452 .3893 75 .3982
  .1 456 .1671 75 .7424
  .2 459 .9606 76 .0265
  .3 463 .7693 76 .3407
  .4 467 .5947 76 .6549
  .5 471 .4352 76 .9690
  .6 475 .2916 77 .2832
  .7 479 .1636 77 .5973
  .8 483 .0513 77 .9115
  .9 486 .9547 78 .2257
25.0 490 .8739 78 .5398
  .1 494 .8087 78 .8540
  .2 498 .7592 79 .1681
  .3 502 .7255 79 .4823
  .4 506 .7075 79 .7965
  .5 510 .7052 80 .1106
  .6 514 .7185 80 .4248
  .7 518 .7476 80 .7389
  .8 522 .7924 81 .0531
  .9 526 .8529 81 .3672
26.0 530 .9292 81 .6814
  .1 535 .0211 81 .9956
  .2 539 .1287 82 .3097
  .3 543 .2521 82 .6239
  .4 547 .3911 82 .9380
  .5 551 .5459 83 .2522
  .6 555 .7163 83 .5664
  .7 559 .9025 83 .8805
  .8 564 .1044 84 .1947
  .9 568 .3220 84 .5088
27.0 572 .5553 84 .8230
  .1 576 .8043 85 .1372
  .2 581 .0690 85 .4513
  .3 585 .3494 85 .7655
  .4 589 .6455 86 .0796
  .5 593 .9574 86 .3938
  .6 598 .2849 86 .7080
  .7 602 .6282 87 .0221
  .8 606 .9871 87 .3363
  .9 611 .3618 87 .6504
28.0 615 .7522 87 .9646
  .1 620 .1582 88 .2788
  .2 624 .5800 88 .5929
  .3 629 .0175 88 .9071
  .4 633 .4707 89 .2212
  .5 637 .9397 89 .5354
  .6 642 .4243 89 .8495
  .7 646 .9246 90 .1637
  .8 651 .4407 90 .4779
  .9 655 .9724 90 .7920
29.0 660 .5199 91 .1063
  .1 665 .0830 91 .4203
  .2 669 .6619 91 .7345
  .3 674 .2565 92 .0487
  .4 678 .8668 92 .3628
  .5 683 .4928 92 .6770
  .6 688 .1345 92 .9911
  .7 692 .7919 93 .3053
  .8 697 .4650 93 .6195
  .9 702 .1538 93 .9336
30.0 706 .8583 94 .2478
  .1 711 .5786 94 .5610
  .2 716 .3145 94 .8761
  .3 721 .0662 95 .1903
  .4 725 .8336 95 .5044
  .5 730 .6167 95 .8186
  .6 735 .4154 96 .1327
  .7 740 .2299 96 .4469
  .8 745 .0601 96 .7611
  .9 749 .9060 97 .0752
31.0 754 .7676 97 .3894
  .1 759 .6450 97 .7035
  .2 761 .5380 98 .0177
  .3 769 .4467 98 .3319
  .4 774 .3712 98 .6460
  .5 779 .3113 98 .9602
  .6 784 .2672 99 .2743
  .7 789 .2388 99 .5885
  .8 794 .2260 99 .9026
  .9 799 .2290 100 .2168
32.0 804 .2477 100 .5310
  .1 809 .2821 100 .8451
  .2 814 .3322 101 .1593
  .3 819 .3980 101 .4734
  .4 824 .4796 101 .7876
  .5 829 .5768 102 .1018
  .6 834 .6898 102 .4159
  .7 839 .8185 102 .7301
  .8 844 .9628 103 .0442
  .9 850 .1229 103 .3584
33.0 855 .2986 103 .6726
  .1 860 .4902 103 .9867
  .2 865 .6973 104 .3009
  .3 870 .9202 104 .6150
  .4 876 .1588 104 .9292
  .5 881 .4131 105 .2434
  .6 886 .6831 105 .5575
  .7 891 .9688 105 .8717
  .8 897 .2703 106 .1858
  .9 902 .5874 106 .5000
34.0 907 .9203 106 .8142
  .1 913 .2688 107 .1283
  .2 918 .6331 107 .4425
  .3 924 .0131 107 .7566
  .4 929 .4088 108 .0708
  .5 934 .8202 108 .3849
  .6 940 .2473 108 .6991
  .7 945 .6901 109 .0133
  .8 951 .1486 109 .3274
  .9 956 .6228 109 .6416
35.0 962 .1128 109 .9557
  .1 967 .6184 110 .2699
  .2 973 .1397 110 .5841
  .3 978 .6768 110 .8982
  .4 984 .2296 111 .2124
  .5 989 .7980 111 .5265
  .6 995 .3822 111 .8407
  .7 1000 .9821 112 .1549
  .8 1006 .5977 112 .4690
  .9 1012 .2290 112 .7832
36.0 1017 .8760 113 .0973
  .1 1023 .5387 113 .4115
  .2 1029 .2172 113 .7257
  .3 1034 .9113 114 .0398
  .4 1040 .6212 114 .3540
  .5 1046 .3467 114 .6681
  .6 1052 .0880 114 .9823
  .7 1057 .8449 115 .2965
  .8 1063 .6176 115 .6106
  .9 1069 .4060 115 .9248
37.0 1075 .2101 116 .2389
  .1 1081 .0299 116 .5531
  .2 1086 .8654 116 .8672
  .3 1093 .7166 117 .1814
  .4 1098 .5835 117 .4956
  .5 1104 .4662 117 .8097
  .6 1110 .3645 118 .1239
  .7 1116 .2786 118 .4380
  .8 1122 .2083 118 .7522
  .9 1128 .1538 119 .0664
38.0 1134 .1149 119 .3805
  .1 1140 .0918 119 .6947
  .2 1146 .0844 120 .0088
  .3 1152 .0927 120 .3230
  .4 1158 .1167 120 .6372
  .5 1164 .1564 120 .9513
  .6 1170 .2118 121 .2655
  .7 1176 .2830 121 .5796
  .8 1182 .3698 121 .8938
  .9 1188 .4724 122 .2080
39.0 1194 .5906 122 .5221
  .1 1200 .7246 122 .8363
  .2 1206 .8742 123 .1504
  .3 1213 .0396 123 .4646
  .4 1219 .2207 123 .7788
  .5 1225 .4175 124 .0929
  .6 1231 .6300 124 .4071
  .7 1237 .8582 124 .7212
  .8 1244 .1021 125 .0354
  .9 1250 .3617 125 .3495
40.0 1256 .6371 125 .6637
  .1 1262 .9281 125 .9779
  .2 1269 .2348 126 .2920
  .3 1275 .5573 126 .6062
  .4 1281 .8955 126 .9203
  .5 1288 .2493 127 .2345
  .6 1294 .3189 127 .5487
  .7 1301 .0042 127 .8628
  .8 1307 .4052 128 .1770
  .9 1313 .8219 128 .4911
41.0 1320 .2543 128 .8053
  .1 1326 .7024 129 .1195
  .2 1333 .1663 129 .4336
  .3 1339 .6458 129 .7478
  .4 1346 .1410 130 .0619
  .5 1352 .6520 130 .3761
  .6 1359 .1786 130 .6903
  .7 1365 .7210 131 .0044
  .8 1372 .2791 131 .3186
  .9 1378 .8529 131 .6227
42.0 1385 .4424 131 .9469
  .1 1392 .0476 132 .2611
  .2 1398 .6685 132 .5752
  .3 1405 .3051 132 .8894
  .4 1411 .9574 133 .2035
  .5 1418 .6254 133 .5177
  .6 1425 .3092 133 .8318
  .7 1432 .0086 134 .1460
  .8 1438 .7238 134 .4602
  .9 1445 .4546 134 .7743
43.0 1452 .2012 135 .0885
  .1 1458 .9635 135 .4026
  .2 1465 .7415 135 .7168
  .3 1472 .5352 136 .0310
  .4 1479 .3446 136 .3451
  .5 1486 .1697 136 .6593
  .6 1493 .0105 136 .9734
  .7 1499 .8670 137 .2876
  .8 1506 .7393 137 .6018
  .9 1513 .6272 137 .9159
44.0 1520 .5308 138 .2301
  .1 1527 .4502 138 .5442
  .2 1534 .3853 138 .8584
  .3 1541 .3360 139 .1726
  .4 1548 .3025 139 .4867
  .5 1555 .2847 139 .8009
  .6 1562 .2826 140 .1153
  .7 1569 .2063 140 .4292
  .8 1576 .3255 140 .7434
  .9 1583 .3706 141 .0575
45.0 1590 .4313 141 .3717
  .1 1597 .5077 141 .6858
  .2 1604 .5999 142 .0000
  .3 1611 .7077 142 .3142
  .4 1618 .8313 142 .6283
  .5 1625 .9705 142 .9425
  .6 1633 .1255 143 .2566
  .7 1640 .2962 143 .5708
  .8 1647 .4826 143 .8849
  .9 1654 .6847 144 .1991
46.0 1661 .9025 144 .5133
  .1 1669 .1360 144 .8274
  .2 1676 .3853 145 .1416
  .3 1683 .6502 145 .4557
  .4 1690 .9308 145 .7699
  .5 1698 .2272 146 .0841
  .6 1705 .5392 146 .3982
  .7 1712 .8670 146 .7124
  .8 1720 .2105 147 .0265
  .9 1727 .5697 147 .3407
47.0 1734 .9445 147 .6550
  .1 1742 .3351 147 .9690
  .2 1749 .7414 148 .2832
  .3 1757 .1635 148 .5973
  .4 1764 .6012 148 .9115
  .5 1772 .0546 149 .2257
  .6 1779 .5237 149 .5398
  .7 1787 .0086 149 .8540
  .8 1794 .5091 150 .1681
  .9 1802 .0254 150 .4823
48.0 1809 .5574 150 .7964
  .1 1817 .1050 151 .1105
  .2 1824 .6684 151 .4248
  .3 1832 .2475 151 .7389
  .4 1839 .8423 152 .0531
  .5 1847 .4528 152 .3672
  .6 1855 .0790 152 .6814
  .7 1862 .7210 152 .9956
  .8 1870 .3786 153 .3097
  .9 1878 .0519 153 .6239
49.0 1885 .7409 153 .9380
  .1 1893 .4457 154 .2522
  .2 1901 .1662 154 .5664
  .3 1908 .9024 154 .8805
  .4 1916 .6543 155 .1947
  .5 1924 .4218 155 .5088
  .6 1932 .2051 155 .8230
  .7 1940 .0042 156 .1372
  .8 1947 .8189 156 .4513
  .9 1955 .6493 156 .7655
50.0 1963 .4954 157 .0796
  .1 1971 .3572 157 .3938
  .2 1979 .2348 157 .7080
  .3 1987 .1280 158 .0221
  .4 1995 .0370 158 .3363
  .5 2002 .9617 158 .6504
  .6 2010 .9020 158 .9646
  .7 2018 .8581 159 .2787
  .8 2026 .8299 159 .5929
  .9 2034 .8174 159 .9071
51.0 2042 .6206 160 .2212
  .1 2050 .8895 160 .5354
  .2 2058 .8742 160 .8495
  .3 2066 .9245 161 .1637
  .4 2074 .9905 161 .4779
  .5 2083 .0723 161 .7920
  .6 2091 .1697 162 .1062
  .7 2099 .2829 162 .4203
  .8 2107 .4118 162 .7345
  .9 2115 .5563 163 .0487
52.0 2123 .7166 163 .3628
  .1 2131 .8926 163 .6770
  .2 2140 .0843 163 .9911
  .3 2148 .2917 164 .3053
  .4 2156 .5149 164 .6195
  .5 2164 .7537 164 .9336
  .6 2173 .0082 165 .2479
  .7 2181 .2785 165 .5619
  .8 2189 .5644 165 .8761
  .9 2197 .8661 166 .1903
53.0 2206 .1834 166 .5044
  .1 2214 .5165 166 .8186
  .2 2222 .8653 167 .1327
  .3 2231 .2298 167 .4469
  .4 2239 .6100 167 .7610
  .5 2248 .0059 168 .0752
  .6 2256 .4175 168 .3894
  .7 2264 .8448 168 .7035
  .8 2273 .2879 169 .0177
  .9 2281 .7466 169 .3318
54.0 2290 .2210 169 .6460
  .1 2298 .7112 169 .9602
  .2 2307 .2171 170 .2743
  .3 2315 .7386 170 .5885
  .4 2324 .2759 170 .9026
  .5 2332 .8289 171 .2168
  .6 2341 .3976 171 .5310
  .7 2349 .9820 171 .8451
  .8 2358 .5821 172 .1593
  .9 2367 .1979 172 .4735
55.0 2375 .8294 172 .7876
  .1 2384 .4767 173 .1017
  .2 2393 .1396 173 .4159
  .3 2401 .8183 173 .7301
  .4 2410 .5126 174 .0442
  .5 2419 .2227 174 .3584
  .6 2427 .9485 174 .6726
  .7 2436 .6899 174 .9867
  .8 2145 .4471 175 .3009
  .9 2454 .2200 175 .6150