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椭圆周率表-甲

2010-05-22 10:37阅读：

http://blog.sina.cn/dpool/blog/u/1026073862

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此表的查找以 e 值为线索。这里的 e 定义为: e=c/a 其中 a 、b分别为椭圆的长半轴和短半轴,c =√(a×a - b×b)
br> c为椭圆的半焦距
本表的被查找值为： k为椭圆周率, k值被查到后，代入以下公式， 便能算出椭圆周长: c = 2×a×k

椭圆圆周率表 e=0.000-0.499, d=b/a=1.000-0.867 c=2*a*k
e 0 1 2 3 4 5 6 7 8 9
0.00 3.141593 3.141592 3.141590 3.141586 3.141580 3.141573 3.141564 3.141554 3.141542 3.141529
0.01 3.141514 3.141498 3.141480 3.141460 3.141439 3.141416 3.141392 3.141366 3.141338 3.141309
0.02 3.141278 3.141246 3.141212 3.141177 3.141140 3.141102 3.141062 3.141020 3.140977 3.140932
0.03 3.140886 3.140838 3.140788 3.140737 3.140685 3.140630 3.140575 3.140517 3.140458 3.140398
0.04 3.140336 3.140272 3.140207 3.140140 3.140072 3.140002 3.139930 3.139857 3.139782 3.139706
0.05 3.139628 3.139549 3.139468 3.139385 3.139301 3.139215 3.139128 3.139039 3.138949 3.138857
0.06 3.138763 3.138668 3.138571 3.138473 3.138373 3.138272 3.138169 3.138064 3.137958 3.137850
0.07 3.137741 3.137630 3.137517 3.137403 3.137287 3.137170 3.137051 3.136931 3.136809 3.136685
0.08 3.136560 3.136433 3.136305 3.136175 3.136044 3.135910 3.135776 3.135640 3.135502 3.135362
0.09 3.135221 3.135079 3.134934 3.134789 3.134641 3.134492 3.134342 3.134190 3.134036 3.133881
e 0 1 2 3 4 5 6 7 8 9
0.10 3.133724 3.133565 3.133405 3.133244 3.133080 3.132916 3.132749 3.132581 3.132412 3.132240
0.11 3.132068 3.131893 3.131717 3.131540 3.131361 3.131180 3.130998 3.130814 3.130628 3.130441
0.12 3.130252 3.130062 3.129870 3.129676 3.129481 3.129285 3.129086 3.128886 3.128685 3.128482
0.13 3.128277 3.128071 3.127863 3.127653 3.127442 3.127229 3.127015 3.126799 3.126582 3.126363
0.14 3.126142 3.125919 3.125696 3.125470 3.125243 3.125014 3.124784 3.124552 3.124318 3.124083
0.15 3.123846 3.123607 3.123367 3.123126 3.122882 3.122638 3.122391 3.122143 3.121893 3.121642
0.16 3.121389 3.121134 3.120878 3.120620 3.120361 3.120100 3.119837 3.119573 3.119307 3.119039
0.17 3.118770 3.118499 3.118227 3.117953 3.117677 3.117400 3.117121 3.116840 3.116558 3.116274
0.18 3.115989 3.115702 3.115413 3.115123 3.114831 3.114537 3.114242 3.113945 3.113647 3.113347
0.19 3.113045 3.112742 3.112436 3.112130 3.111821 3.111512 3.111200 3.110887 3.110572 3.110255
e 0 1 2 3 4 5 6 7 8 9
0.20 3.109937 3.109617 3.109296 3.108973 3.108648 3.108322 3.107994 3.107664 3.107332 3.106999
0.21 3.106665 3.106329 3.105991 3.105651 3.105310 3.104967 3.104622 3.104276 3.103928 3.103578
0.22 3.103227 3.102874 3.102520 3.102164 3.101806 3.101446 3.101085 3.100722 3.100358 3.099991
0.23 3.099624 3.099254 3.098883 3.098510 3.098135 3.097759 3.097381 3.097002 3.096621 3.096238
0.24 3.095853 3.095467 3.095079 3.094689 3.094298 3.093905 3.093510 3.093114 3.092716 3.092316
0.25 3.091915 3.091511 3.091107 3.090700 3.090292 3.089882 3.089470 3.089057 3.088642 3.088225
0.26 3.087807 3.087387 3.086965 3.086542 3.086117 3.085690 3.085261 3.084831 3.084399 3.083965
0.27 3.083530 3.083093 3.082654 3.082213 3.081771 3.081327 3.080881 3.080434 3.079985 3.079534
0.28 3.079081 3.078627 3.078171 3.077713 3.077254 3.076793 3.076330 3.075865 3.075399 3.074931
0.29 3.074461 3.073989 3.073516 3.073041 3.072564 3.072086 3.071605 3.071123 3.070640 3.070154
e 0 1 2 3 4 5 6 7 8 9
0.30 3.069667 3.069178 3.068687 3.068195 3.067701 3.067205 3.066707 3.066207 3.065706 3.065203
0.31 3.064698 3.064192 3.063684 3.063174 3.062662 3.062148 3.061633 3.061116 3.060597 3.060076
0.32 3.059554 3.059030 3.058504 3.057976 3.057447 3.056915 3.056382 3.055847 3.055311 3.054772
0.33 3.054232 3.053690 3.053146 3.052601 3.052053 3.051504 3.050953 3.050400 3.049846 3.049290
0.34 3.048731 3.048172 3.047610 3.047046 3.046481 3.045914 3.045345 3.044774 3.044201 3.043627
0.35 3.043051 3.042472 3.041893 3.041311 3.040727 3.040142 3.039555 3.038966 3.038375 3.037782
0.36 3.037188 3.036591 3.035993 3.035393 3.034791 3.034188 3.033582 3.032975 3.032365 3.031754
0.37 3.031141 3.030527 3.029910 3.029291 3.028671 3.028049 3.027425 3.026799 3.026171 3.025541
0.38 3.024910 3.024276 3.023641 3.023004 3.022365 3.021724 3.021081 3.020436 3.019790 3.019141
0.39 3.018491 3.017839 3.017185 3.016529 3.015871 3.015211 3.014549 3.013886 3.013220 3.012553
e 0 1 2 3 4 5 6 7 8 9
0.40 3.011883 3.011212 3.010539 3.009864 3.009187 3.008508 3.007827 3.007144 3.006460 3.005773
0.41 3.005084 3.004394 3.003702 3.003007 3.002311 3.001613 3.000913 3.000211 2.999507 2.998801
0.42 2.998093 2.997383 2.996671 2.995957 2.995241 2.994524 2.993804 2.993082 2.992359 2.991633
0.43 2.990906 2.990176 2.989445 2.988711 2.987976 2.987238 2.986499 2.985757 2.985014 2.984268
0.44 2.983521 2.982772 2.982020 2.981267 2.980511 2.979754 2.978994 2.978233 2.977470 2.976704
0.45 2.975937 2.975167 2.974395 2.973622 2.972846 2.972069 2.971289 2.970507 2.969723 2.968938
0.46 2.968150 2.967360 2.966568 2.965774 2.964978 2.964180 2.963379 2.962577 2.961773 2.960966
0.47 2.960158 2.959347 2.958535 2.957720 2.956903 2.956084 2.955263 2.954440 2.953615 2.952788
0.48 2.951958 2.951127 2.950293 2.949457 2.948620 2.947780 2.946938 2.946093 2.945247 2.944399
0.49 2.943548 2.942695 2.941841 2.940984 2.940124 2.939263 2.938400 2.937534 2.936666 2.935796
e 0 1 2 3 4 5 6 7 8 9

-------------------------------------------------------------------------------------------
此表的查找以 e 值为线索。这里的 e 定义为: e=c/a 其中 a 、b分别为椭圆的长半轴和短半轴,c =√(a×a - b×b)
c为椭圆的半焦距
本表的被查找值为： k为椭圆周率, k值被查到后，代入以下公式， 便能算出椭圆周长: c = 2×a×k

椭圆圆周率表 e=0.500-0.999, d=b/a=0.866-0.045 c=2*a*k
e 0 1 2 3 4 5 6 7 8 9
0.50 2.934924 2.934050 2.933174 2.932295 2.931414 2.930532 2.929646 2.928759 2.927870 2.926978
0.51 2.926084 2.925188 2.924290 2.923389 2.922486 2.921582 2.920674 2.919765 2.918853 2.917940
0.52 2.917024 2.916105 2.915185 2.914262 2.913337 2.912410 2.911480 2.910549 2.909615 2.908678
0.53 2.907740 2.906799 2.905856 2.904910 2.903963 2.903013 2.902061 2.901106 2.900149 2.899190
0.54 2.898229 2.897265 2.896299 2.895331 2.894360 2.893387 2.892412 2.891434 2.890454 2.889472
0.55 2.888487 2.887500 2.886511 2.885519 2.884525 2.883528 2.882529 2.881528 2.880525 2.879519
0.56 2.878510 2.877500 2.876486 2.875471 2.874453 2.873433 2.872410 2.871385 2.870357 2.869327
0.57 2.868294 2.867260 2.866222 2.865182 2.864140 2.863095 2.862048 2.860999 2.859947 2.858892
0.58 2.857835 2.856776 2.855714 2.854649 2.853582 2.852513 2.851441 2.850366 2.849289 2.848210
0.59 2.847128 2.846043 2.844956 2.843866 2.842774 2.841679 2.840582 2.839482 2.838379 2.837274
e 0 1 2 3 4 5 6 7 8 9
0.60 2.836167 2.835057 2.833944 2.832828 2.831710 2.830590 2.829467 2.828341 2.827212 2.826081
0.61 2.824948 2.823811 2.822672 2.821531 2.820387 2.819240 2.818090 2.816938 2.815783 2.814625
0.62 2.813465 2.812302 2.811136 2.809968 2.808796 2.807623 2.806446 2.805267 2.804085 2.802900
0.63 2.801712 2.800522 2.799329 2.798133 2.796934 2.795733 2.794529 2.793322 2.792112 2.790899
0.64 2.789684 2.788465 2.787244 2.786020 2.784794 2.783564 2.782331 2.781096 2.779858 2.778617
0.65 2.777373 2.776126 2.774876 2.773623 2.772368 2.771109 2.769848 2.768583 2.767316 2.766046
0.66 2.764772 2.763496 2.762217 2.760935 2.759650 2.758362 2.757070 2.755776 2.754479 2.753179
0.67 2.751875 2.750569 2.749260 2.747947 2.746632 2.745313 2.743992 2.742667 2.741339 2.740008
0.68 2.738674 2.737337 2.735996 2.734653 2.733306 2.731956 2.730603 2.729247 2.727887 2.726525
0.69 2.725159 2.723790 2.722418 2.721042 2.719663 2.718281 2.716896 2.715508 2.714116 2.712721
e 0 1 2 3 4 5 6 7 8 9
0.70 2.711322 2.709921 2.708515 2.707107 2.705695 2.704280 2.702862 2.701440 2.700015 2.698586
0.71 2.697154 2.695718 2.694279 2.692837 2.691391 2.689942 2.688489 2.687033 2.685573 2.684110
0.72 2.682643 2.681173 2.679699 2.678222 2.676741 2.675256 2.673768 2.672277 2.670781 2.669282
0.73 2.667780 2.666274 2.664764 2.663250 2.661733 2.660212 2.658687 2.657159 2.655627 2.654091
0.74 2.652551 2.651008 2.649460 2.647909 2.646354 2.644796 2.643233 2.641667 2.640096 2.638522
0.75 2.636944 2.635362 2.633776 2.632186 2.630593 2.628995 2.627393 2.625787 2.624177 2.622563
0.76 2.620945 2.619323 2.617697 2.616067 2.614432 2.612794 2.611151 2.609504 2.607853 2.606198
0.77 2.604539 2.602875 2.601207 2.599535 2.597858 2.596178 2.594492 2.592803 2.591109 2.589411
0.78 2.587708 2.586001 2.584290 2.582574 2.580853 2.579128 2.577399 2.575665 2.573926 2.572183
0.79 2.570435 2.568683 2.566926 2.565164 2.563398 2.561627 2.559851 2.558070 2.556285 2.554495
e 0 1 2 3 4 5 6 7 8 9
0.80 2.552700 2.550900 2.549095 2.547286 2.545471 2.543652 2.541828 2.539998 2.538164 2.536324
0.81 2.534480 2.532630 2.530776 2.528916 2.527051 2.525181 2.523305 2.521424 2.519539 2.517647
0.82 2.515751 2.513849 2.511941 2.510029 2.508110 2.506187 2.504257 2.502323 2.500382 2.498436
0.83 2.496485 2.494528 2.492565 2.490596 2.488622 2.486641 2.484655 2.482663 2.480665 2.478662
0.84 2.476652 2.474636 2.472614 2.470586 2.468552 2.466512 2.464465 2.462413 2.460354 2.458288
0.85 2.456217 2.454139 2.452054 2.449963 2.447865 2.445761 2.443650 2.441533 2.439409 2.437278
0.86 2.435140 2.432995 2.430844 2.428685 2.426520 2.424347 2.422168 2.419981 2.417787 2.415585
0.87 2.413377 2.411161 2.408937 2.406706 2.404467 2.402221 2.399967 2.397706 2.395436 2.393159
0.88 2.390874 2.388581 2.386280 2.383970 2.381653 2.379327 2.376992 2.374650 2.372299 2.369939
0.89 2.367571 2.365194 2.362808 2.360413 2.358009 2.355597 2.353175 2.350744 2.348303 2.345853
e 0 1 2 3 4 5 6 7 8 9
0.90 2.343394 2.340925 2.338447 2.335958 2.333460 2.330952 2.328433 2.325904 2.323366 2.320816
0.91 2.318256 2.315686 2.313104 2.310512 2.307909 2.305294 2.302668 2.300031 2.297382 2.294722
0.92 2.292049 2.289365 2.286668 2.283960 2.281238 2.278504 2.275757 2.272998 2.270225 2.267438
0.93 2.264638 2.261825 2.258997 2.256155 2.253299 2.250428 2.247543 2.244642 2.241726 2.238795
0.94 2.235848 2.232885 2.229905 2.226909 2.223896 2.220865 2.217817 2.214751 2.211667 2.208565
0.95 2.205443 2.202302 2.199142 2.195961 2.192760 2.189537 2.186294 2.183028 2.179739 2.176428
0.96 2.173093 2.169734 2.166349 2.162940 2.159504 2.156041 2.152550 2.149031 2.145482 2.141903
0.97 2.138293 2.134650 2.130974 2.127262 2.123515 2.119730 2.115906 2.112041 2.108134 2.104183
0.98 2.100185 2.096137 2.092039 2.087886 2.083675 2.079403 2.075065 2.070657 2.066173 2.061607
0.99 2.056952 2.052197 2.047333 2.042345 2.037215 2.031919 2.026424 2.020678 2.014594 2.007989
e 0 1 2 3 4 5 6 7 8 9



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