Geometría de una sección circular parcialmente llena

110%

100%

90%

80%

70%

60%
y/D

50%

40%

30%

20%

10%

0%
0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 110% 120% 130%

A/Af, PM/PMf, RH/RHf

Curva A: Radio de A/Af Curva PM: Radio de PM/PMf Curva R: Radio de R/Rf
 Alumno: ALDAIR MARTINEZ MOO
Tabla: Geometría de una sección circular parcialmente llena
0.05995759
Diámetro = 2m Tetha (°) y (m) y/D
Área = 3.1415927 m² 0 0 0.00000%
Perímetro Mojado(PMF) = 6.2831853 m 1 3.80769E-05 0.00190%
Radio Hco.(RHF)= 0.5 m 2 0.0001523 0.00762%
3 0.00034268 0.01713%
y = 1.5414961 m 4 0.00060917 0.03046%
y/D = 77.07% 0.7707481 5 0.00095178 0.04759%
A/Af = 82.48% 6 0.00137047 0.06852%
PM/PMf = 68.06% 7 0.0018652 0.09326%
RH/RHf = 121.19% 8 0.00243595 0.12180%
9 0.00308267 0.15413%
Área Parcial(A) = 2.5911822 m² 10 0.0038053 0.19027%
Per. Moj. Par.(PM) = 4.2760567 m 11 0.0046038 0.23019%
R.Hco.Par.(RH) = 0.6059747 m 12 0.0054781 0.27391%
13 0.00642814 0.32141%
A X RH =2/3
1.856 14 0.00745385 0.37269%
15 0.00855514 0.42776%
QN/s^1/2= 1.862 16 0.00973193 0.48660%
-0.007 17 0.01098414 0.54921%
FORMULA DE MANNING EN GASTO Q 18 0.01231166 0.61558%
19 0.0137144 0.68572%
Q= 12 m3/s 20 0.01519225 0.75961%
n= 0.017 21 0.01674509 0.83725%
s= 1.20% 0.012 22 0.01837282 0.91864%
23 0.0200753 1.00376%
24 0.0218524 1.09262%
25 0.02370399 1.18520%
0.5866507388573 26 0.02562994 1.28150%
27 0.02763008 1.38150%
28 0.02970427 1.48521%
29 0.03185236 1.59262%
30 0.03407417 1.70371%
31 0.03636955 1.81848%
32 0.0387383 1.93692%
33 0.04118027 2.05901%
34 0.04369524 2.18476%
35 0.04628305 2.31415%
36 0.04894348 2.44717%
37 0.05167634 2.58382%
38 0.05448142 2.72407%
39 0.05735851 2.86793%
40 0.06030738 3.01537%
41 0.06332781 3.16639%
42 0.06641957 3.32098%
43 0.06958243 3.47912%
44 0.07281615 3.64081%
45 0.07612047 3.80602%
46 0.07949515 3.97476%
47 0.08293993 4.14700%
48 0.08645454 4.32273%
49 0.09003873 4.50194%
50 0.09369221 4.68461%
51 0.09741472 4.87074%
52 0.10120595 5.06030%
53 0.10506564 5.25328%
54 0.10899348 5.44967%
55 0.11298917 5.64946%
56 0.11705241 5.85262%
57 0.12118289 6.05914%
58 0.12538029 6.26901%
59 0.1296443 6.48222%
60 0.1339746 6.69873%
61 0.13837084 6.91854%
62 0.1428327 7.14163%
63 0.14735984 7.36799%
64 0.1519519 7.59760%
65 0.15660855 7.83043%
66 0.16132943 8.06647%
67 0.16611418 8.30571%
68 0.17096243 8.54812%
69 0.17587381 8.79369%
70 0.18084796 9.04240%
71 0.18588448 9.29422%
72 0.19098301 9.54915%
73 0.19614314 9.80716%
74 0.20136449 10.06822%
75 0.20664666 10.33233%
76 0.21198925 10.59946%
77 0.21739184 10.86959%
78 0.22285404 11.14270%
79 0.22837542 11.41877%
80 0.23395556 11.69778%
81 0.23959403 11.97970%
82 0.24529042 12.26452%
83 0.25104428 12.55221%
84 0.25685517 12.84276%
 85 0.26272266 13.13613%
86 0.2686463 13.43231%
87 0.27462563 13.73128%
88 0.2806602 14.03301%
89 0.28674955 14.33748%
90 0.29289322 14.64466%
91 0.29909074 14.95454%
92 0.30534163 15.26708%
93 0.31164542 15.58227%
94 0.31800164 15.90008%
95 0.32440979 16.22049%
96 0.33086939 16.54347%
97 0.33737995 16.86900%
98 0.34394097 17.19705%
99 0.35055195 17.52760%
100 0.35721239 17.86062%
101 0.36392178 18.19609%
102 0.37067961 18.53398%
103 0.37748536 18.87427%
104 0.38433852 19.21693%
105 0.39123857 19.56193%
106 0.39818498 19.90925%
107 0.40517721 20.25886%
108 0.41221475 20.61074%
109 0.41929704 20.96485%
110 0.42642356 21.32118%
111 0.43359376 21.67969%
112 0.4408071 22.04035%
113 0.44806301 22.40315%
114 0.45536096 22.76805%
115 0.46270039 23.13502%
116 0.47008074 23.50404%
117 0.47750144 23.87507%
118 0.48496193 24.24810%
119 0.49246164 24.62308%
120 0.5 25.00000%
121 0.50757644 25.37882%
122 0.51519038 25.75952%
123 0.52284124 26.14206%
124 0.53052844 26.52642%
125 0.53825139 26.91257%
126 0.5460095 27.30048%
127 0.55380219 27.69011%
128 0.56162885 28.08144%
129 0.5694889 28.47445%
130 0.57738174 28.86909%
131 0.58530676 29.26534%
132 0.59326336 29.66317%
133 0.60125093 30.06255%
134 0.60926887 30.46344%
135 0.61731657 30.86583%
136 0.62539341 31.26967%
137 0.63349877 31.67494%
138 0.64163205 32.08160%
139 0.64979262 32.48963%
140 0.65797986 32.89899%
141 0.66619314 33.30966%
142 0.67443185 33.72159%
143 0.68269534 34.13477%
144 0.69098301 34.54915%
145 0.6992942 34.96471%
146 0.7076283 35.38141%
147 0.71598466 35.79923%
148 0.72436264 36.21813%
149 0.73276162 36.63808%
150 0.74118095 37.05905%
151 0.74962 37.48100%
152 0.7580781 37.90391%
153 0.76655464 38.32773%
154 0.77504895 38.75245%
155 0.78356039 39.17802%
156 0.79208831 39.60442%
157 0.80063207 40.03160%
158 0.809191 40.45955%
159 0.81776447 40.88822%
160 0.82635182 41.31759%
161 0.83495239 41.74762%
162 0.84356553 42.17828%
163 0.85219059 42.60953%
164 0.8608269 43.04134%
165 0.86947381 43.47369%
166 0.87813066 43.90653%
167 0.88679679 44.33984%
168 0.89547154 44.77358%
169 0.90415425 45.20771%
170 0.91284426 45.64221%
171 0.9215409 46.07705%
172 0.93024353 46.51218%
173 0.93895146 46.94757%
174 0.94766404 47.38320%
175 0.95638061 47.81903%
176 0.9651005 48.25503%
177 0.97382305 48.69115%
178 0.98254759 49.12738%
179 0.99127346 49.56367%
180 1 50.00000%
181 1.00872654 50.43633%
182 1.01745241 50.87262%
183 1.02617695 51.30885%
184 1.0348995 51.74497%
185 1.04361939 52.18097%
186 1.05233596 52.61680%
187 1.06104854 53.05243%
188 1.06975647 53.48782%
189 1.0784591 53.92295%
190 1.08715574 54.35779%
191 1.09584575 54.79229%
192 1.10452846 55.22642%
193 1.11320321 55.66016%
194 1.12186934 56.09347%
195 1.13052619 56.52631%
196 1.1391731 56.95866%
197 1.14780941 57.39047%
198 1.15643447 57.82172%
199 1.16504761 58.25238%
200 1.17364818 58.68241%
201 1.18223553 59.11178%
202 1.190809 59.54045%
203 1.19936793 59.96840%
204 1.20791169 60.39558%
205 1.21643961 60.82198%
206 1.22495105 61.24755%
207 1.23344536 61.67227%
208 1.2419219 62.09609%
209 1.25038 62.51900%
210 1.25881905 62.94095%
211 1.26723838 63.36192%
212 1.27563736 63.78187%
213 1.28401534 64.20077%
214 1.2923717 64.61859%
215 1.3007058 65.03529%
216 1.30901699 65.45085%
217 1.31730466 65.86523%
218 1.32556815 66.27841%
219 1.33380686 66.69034%
220 1.34202014 67.10101%
221 1.35020738 67.51037%
222 1.35836795 67.91840%
223 1.36650123 68.32506%
224 1.37460659 68.73033%
225 1.38268343 69.13417%
226 1.39073113 69.53656%
227 1.39874907 69.93745%
228 1.40673664 70.33683%
229 1.41469324 70.73466%
230 1.42261826 71.13091%
231 1.4305111 71.52555%
232 1.43837115 71.91856%
233 1.44619781 72.30989%
234 1.4539905 72.69952%
235 1.46174861 73.08743%
236 1.46947156 73.47358%
237 1.47715876 73.85794%
238 1.48480962 74.24048%
239 1.49242356 74.62118%
240 1.5 75.00000%
241 1.50753836 75.37692%
242 1.51503807 75.75190%
243 1.52249856 76.12493%
244 1.52991926 76.49596%
245 1.53729961 76.86498%
246 1.54463904 77.23195%
247 1.55193699 77.59685%
248 1.5591929 77.95965%
249 1.56640624 78.32031%
250 1.57357644 78.67882%
251 1.58070296 79.03515%
252 1.58778525 79.38926%
253 1.59482279 79.74114%
254 1.60181502 80.09075%
255 1.60876143 80.43807%
256 1.61566148 80.78307%
257 1.62251464 81.12573%
258 1.62932039 81.46602%
259 1.63607822 81.80391%
260 1.64278761 82.13938%
261 1.64944805 82.47240%
262 1.65605903 82.80295%
263 1.66262005 83.13100%
264 1.66913061 83.45653%
265 1.67559021 83.77951%
266 1.68199836 84.09992%
267 1.68835458 84.41773%
268 1.69465837 84.73292%
269 1.70090926 85.04546%
270 1.70710678 85.35534%
271 1.71325045 85.66252%
272 1.7193398 85.96699%
273 1.72537437 86.26872%
274 1.7313537 86.56769%
275 1.73727734 86.86387%
276 1.74314483 87.15724%
277 1.74895572 87.44779%
278 1.75470958 87.73548%
279 1.76040597 88.02030%
280 1.76604444 88.30222%
281 1.77162458 88.58123%
282 1.77714596 88.85730%
283 1.78260816 89.13041%
284 1.78801075 89.40054%
285 1.79335334 89.66767%
286 1.79863551 89.93178%
287 1.80385686 90.19284%
288 1.80901699 90.45085%
289 1.81411552 90.70578%
290 1.81915204 90.95760%
291 1.82412619 91.20631%
292 1.82903757 91.45188%
293 1.83388582 91.69429%
294 1.83867057 91.93353%
295 1.84339145 92.16957%
296 1.8480481 92.40240%
297 1.85264016 92.63201%
298 1.8571673 92.85837%
299 1.86162916 93.08146%
300 1.8660254 93.30127%
301 1.8703557 93.51778%
302 1.87461971 93.73099%
303 1.87881711 93.94086%
304 1.88294759 94.14738%
305 1.88701083 94.35054%
306 1.89100652 94.55033%
307 1.89493436 94.74672%
308 1.89879405 94.93970%
309 1.90258528 95.12926%
310 1.90630779 95.31539%
311 1.90996127 95.49806%
312 1.91354546 95.67727%
313 1.91706007 95.85300%
314 1.92050485 96.02524%
315 1.92387953 96.19398%
316 1.92718385 96.35919%
317 1.93041757 96.52088%
318 1.93358043 96.67902%
319 1.93667219 96.83361%
320 1.93969262 96.98463%
321 1.94264149 97.13207%
322 1.94551858 97.27593%
323 1.94832366 97.41618%
324 1.95105652 97.55283%
325 1.95371695 97.68585%
326 1.95630476 97.81524%
327 1.95881973 97.94099%
328 1.9612617 98.06308%
329 1.96363045 98.18152%
330 1.96592583 98.29629%
331 1.96814764 98.40738%
332 1.97029573 98.51479%
333 1.97236992 98.61850%
334 1.97437006 98.71850%
335 1.97629601 98.81480%
336 1.9781476 98.90738%
337 1.9799247 98.99624%
338 1.98162718 99.08136%
339 1.98325491 99.16275%
340 1.98480775 99.24039%
341 1.9862856 99.31428%
342 1.98768834 99.38442%
343 1.98901586 99.45079%
344 1.99026807 99.51340%
345 1.99144486 99.57224%
346 1.99254615 99.62731%
347 1.99357186 99.67859%
348 1.9945219 99.72609%
349 1.9953962 99.76981%
350 1.9961947 99.80973%
351 1.99691733 99.84587%
352 1.99756405 99.87820%
353 1.9981348 99.90674%
354 1.99862953 99.93148%
355 1.99904822 99.95241%
356 1.99939083 99.96954%
357 1.99965732 99.98287%
358 1.9998477 99.99238%
359 1.99996192 99.99810%
360 2 100.00000%
 ejercicio de las copias

Área par.(m²) A/Af PM par.(m) PM/PMf Rh par.(m) Rh/Rhf

0.00E+00 0.00000% 0 0.00000% 0 0.0000%
4.4304E-07 0.00001% 0.01745329 0.27778% 2.538E-05 0.0051%
3.5442E-06 0.00011% 0.03490659 0.55556% 0.000101533 0.0203%
1.1961E-05 0.00038% 0.05235988 0.83333% 0.0002284317 0.0457%
2.8348E-05 0.00090% 0.06981317 1.11111% 0.0004060576 0.0812%
5.5360E-05 0.00176% 0.08726646 1.38889% 0.000634378 0.1269%
9.5646E-05 0.00304% 0.10471976 1.66667% 0.0009133513 0.1827%
1.5185E-04 0.00483% 0.12217305 1.94444% 0.0012429265 0.2486%
2.2662E-04 0.00721% 0.13962634 2.22222% 0.0016230433 0.3246%
3.2258E-04 0.01027% 0.15707963 2.50000% 0.0020536324 0.4107%
4.4237E-04 0.01408% 0.17453293 2.77778% 0.002534615 0.5069%
5.8861E-04 0.01874% 0.19198622 3.05556% 0.0030659033 0.6132%
7.6391E-04 0.02432% 0.20943951 3.33333% 0.0036474002 0.7295%
9.7087E-04 0.03090% 0.2268928 3.61111% 0.0042789996 0.8558%
1.2121E-03 0.03858% 0.2443461 3.88889% 0.0049605861 0.9921%
1.4902E-03 0.04743% 0.26179939 4.16667% 0.0056920353 1.1384%
1.8077E-03 0.05754% 0.27925268 4.44444% 0.0064732136 1.2946%
2.1671E-03 0.06898% 0.29670597 4.72222% 0.0073039785 1.4608%
2.5711E-03 0.08184% 0.31415927 5.00000% 0.0081841785 1.6368%
3.0222E-03 0.09620% 0.33161256 5.27778% 0.0091136528 1.8227%
3.5229E-03 0.11214% 0.34906585 5.55556% 0.010092232 2.0184%
4.0756E-03 0.12973% 0.36651914 5.83333% 0.0111197376 2.2239%
4.6829E-03 0.14906% 0.38397244 6.11111% 0.0121959823 2.4392%
5.3473E-03 0.17021% 0.40142573 6.38889% 0.0133207699 2.6642%
6.0712E-03 0.19325% 0.41887902 6.66667% 0.0144938954 2.8988%
6.8570E-03 0.21827% 0.43633231 6.94444% 0.0157151451 3.1430%
7.7072E-03 0.24533% 0.45378561 7.22222% 0.0169842967 3.3969%
8.6242E-03 0.27452% 0.4712389 7.50000% 0.018301119 3.6602%
9.6103E-03 0.30591% 0.48869219 7.77778% 0.0196653723 3.9331%
1.0668E-02 0.33957% 0.50614548 8.05556% 0.0210768085 4.2154%
1.1799E-02 0.37559% 0.52359878 8.33333% 0.0225351707 4.5070%
1.3007E-02 0.41403% 0.54105207 8.61111% 0.0240401939 4.8080%
1.4293E-02 0.45496% 0.55850536 8.88889% 0.0255916043 5.1183%
1.5660E-02 0.49847% 0.57595865 9.16667% 0.0271891202 5.4378%
1.7110E-02 0.54461% 0.59341195 9.44444% 0.0288324514 5.7665%
1.8644E-02 0.59347% 0.61086524 9.72222% 0.0305212996 6.1043%
2.0267E-02 0.64511% 0.62831853 10.00000% 0.0322553581 6.4511%
2.1978E-02 0.69959% 0.64577182 10.27778% 0.0340343125 6.8069%
2.3782E-02 0.75700% 0.66322512 10.55556% 0.0358578402 7.1716%
2.5679E-02 0.81739% 0.68067841 10.83333% 0.0377256107 7.5451%
2.7672E-02 0.88083% 0.6981317 11.11111% 0.0396372855 7.9275%
2.9763E-02 0.94739% 0.71558499 11.38889% 0.0415925186 8.3185%
3.1954E-02 1.01712% 0.73303829 11.66667% 0.0435909561 8.7182%
3.4247E-02 1.09010% 0.75049158 11.94444% 0.0456322364 9.1264%
3.6643E-02 1.16639% 0.76794487 12.22222% 0.0477159906 9.5432%
3.9146E-02 1.24605% 0.78539816 12.50000% 0.0498418419 9.9684%
4.1756E-02 1.32913% 0.80285146 12.77778% 0.0520094066 10.4019%
4.4476E-02 1.41570% 0.82030475 13.05556% 0.0542182933 10.8437%
4.7307E-02 1.50582% 0.83775804 13.33333% 0.0564681035 11.2936%
5.0251E-02 1.59954% 0.85521133 13.61111% 0.0587584316 11.7517%
5.3310E-02 1.69691% 0.87266463 13.88889% 0.0610888649 12.2178%
5.6486E-02 1.79800% 0.89011792 14.16667% 0.0634589838 12.6918%
5.9780E-02 1.90286% 0.90757121 14.44444% 0.0658683616 13.1737%
6.3194E-02 2.01154% 0.9250245 14.72222% 0.0683165651 13.6633%
6.6730E-02 2.12409% 0.9424778 15.00000% 0.0708031543 14.1606%
7.0390E-02 2.24057% 0.95993109 15.27778% 0.0733276826 14.6655%
7.4173E-02 2.36101% 0.97738438 15.55556% 0.0758896967 15.1779%
7.8084E-02 2.48548% 0.99483767 15.83333% 0.0784887373 15.6977%
8.2121E-02 2.61401% 1.01229097 16.11111% 0.0811243385 16.2249%
8.6288E-02 2.74665% 1.02974426 16.38889% 0.0837960282 16.7592%
9.0586E-02 2.88344% 1.04719755 16.66667% 0.0865033284 17.3007%
9.5016E-02 3.02444% 1.06465084 16.94444% 0.0892457549 17.8492%
9.9578E-02 3.16967% 1.08210414 17.22222% 0.0920228177 18.4046%
1.0428E-01 3.31919% 1.09955743 17.50000% 0.094834021 18.9668%
1.0911E-01 3.47303% 1.11701072 17.77778% 0.0976788632 19.5358%
1.1408E-01 3.63122% 1.13446401 18.05556% 0.1005568374 20.1114%
1.1919E-01 3.79381% 1.15191731 18.33333% 0.1034674309 20.6935%
1.2443E-01 3.96082% 1.1693706 18.61111% 0.1064101259 21.2820%
1.2982E-01 4.13230% 1.18682389 18.88889% 0.1093843993 21.8769%
1.3535E-01 4.30827% 1.20427718 19.16667% 0.1123897226 22.4779%
1.4102E-01 4.48877% 1.22173048 19.44444% 0.1154255628 23.0851%
1.4683E-01 4.67383% 1.23918377 19.72222% 0.1184913815 23.6983%
1.5279E-01 4.86347% 1.25663706 20.00000% 0.1215866357 24.3173%
1.5889E-01 5.05771% 1.27409035 20.27778% 0.1247107778 24.9422%
1.6514E-01 5.25660% 1.29154365 20.55556% 0.1278632555 25.5727%
1.7154E-01 5.46015% 1.30899694 20.83333% 0.1310435122 26.2087%
1.7808E-01 5.66838% 1.32645023 21.11111% 0.1342509869 26.8502%
1.8477E-01 5.88131% 1.34390352 21.38889% 0.1374851143 27.4970%
1.9160E-01 6.09896% 1.36135682 21.66667% 0.1407453252 28.1491%
1.9859E-01 6.32136% 1.37881011 21.94444% 0.1440310464 28.8062%
2.0573E-01 6.54852% 1.3962634 22.22222% 0.1473417008 29.4683%
2.1301E-01 6.78045% 1.41371669 22.50000% 0.1506767075 30.1353%
2.2045E-01 7.01717% 1.43116999 22.77778% 0.1540354822 30.8071%
2.2804E-01 7.25869% 1.44862328 23.05556% 0.157417437 31.4835%
2.3578E-01 7.50503% 1.46607657 23.33333% 0.1608219807 32.1644%
2.4367E-01 7.75618% 1.48352986 23.61111% 0.164248519 32.8497%
2.5171E-01 8.01216% 1.50098316 23.88889% 0.1676964542 33.5393%
2.5990E-01 8.27298% 1.51843645 24.16667% 0.171165186 34.2330%
2.6825E-01 8.53865% 1.53588974 24.44444% 0.174654111 34.9308%
2.7675E-01 8.80915% 1.55334303 24.72222% 0.1781626231 35.6325%
2.8540E-01 9.08451% 1.57079633 25.00000% 0.1816901138 36.3380%
2.9420E-01 9.36471% 1.58824962 25.27778% 0.185235972 37.0472%
3.0316E-01 9.64976% 1.60570291 25.55556% 0.1887995844 37.7599%
3.1226E-01 9.93965% 1.6231562 25.83333% 0.1923803353 38.4761%
3.2152E-01 10.23439% 1.6406095 26.11111% 0.1959776071 39.1955%
3.3093E-01 10.53396% 1.65806279 26.38889% 0.1995907801 39.9182%
3.4050E-01 10.83836% 1.67551608 26.66667% 0.2032192331 40.6438%
3.5021E-01 11.14758% 1.69296937 26.94444% 0.206862343 41.3725%
3.6008E-01 11.46162% 1.71042267 27.22222% 0.2105194851 42.1039%
3.7009E-01 11.78045% 1.72787596 27.50000% 0.2141900334 42.8380%
3.8026E-01 12.10408% 1.74532925 27.77778% 0.2178733606 43.5747%
3.9058E-01 12.43247% 1.76278254 28.05556% 0.2215688383 44.3138%
4.0104E-01 12.76563% 1.78023584 28.33333% 0.2252758369 45.0552%
4.1166E-01 13.10353% 1.79768913 28.61111% 0.2289937262 45.7987%
4.2242E-01 13.44615% 1.81514242 28.88889% 0.232721875 46.5444%
4.3333E-01 13.79348% 1.83259571 29.16667% 0.2364596516 47.2919%
4.4439E-01 14.14549% 1.85004901 29.44444% 0.2402064237 48.0413%
4.5560E-01 14.50216% 1.8675023 29.72222% 0.2439615587 48.7923%
4.6695E-01 14.86347% 1.88495559 30.00000% 0.2477244238 49.5449%
4.7845E-01 15.22938% 1.90240888 30.27778% 0.2514943861 50.2989%
4.9008E-01 15.59988% 1.91986218 30.55556% 0.2552708127 51.0542%
5.0187E-01 15.97494% 1.93731547 30.83333% 0.2590530708 51.8106%
5.1379E-01 16.35452% 1.95476876 31.11111% 0.2628405281 52.5681%
5.2586E-01 16.73860% 1.97222205 31.38889% 0.2666325525 53.3265%
5.3806E-01 17.12714% 1.98967535 31.66667% 0.2704285126 54.0857%
5.5041E-01 17.52011% 2.00712864 31.94444% 0.2742277777 54.8456%
5.6289E-01 17.91747% 2.02458193 32.22222% 0.2780297177 55.6059%
5.7551E-01 18.31919% 2.04203522 32.50000% 0.2818337036 56.3667%
5.8827E-01 18.72523% 2.05948852 32.77778% 0.2856391076 57.1278%
6.0116E-01 19.13555% 2.07694181 33.05556% 0.2894453029 57.8891%
6.1418E-01 19.55011% 2.0943951 33.33333% 0.2932516642 58.6503%
6.2734E-01 19.96887% 2.11184839 33.61111% 0.2970575675 59.4115%
6.4063E-01 20.39178% 2.12930169 33.88889% 0.3008623904 60.1725%
6.5404E-01 20.81881% 2.14675498 34.16667% 0.3046655124 60.9331%
6.6759E-01 21.24990% 2.16420827 34.44444% 0.3084663147 61.6933%
6.8125E-01 21.68501% 2.18166156 34.72222% 0.3122641803 62.4528%
6.9505E-01 22.12409% 2.19911486 35.00000% 0.3160584947 63.2117%
7.0897E-01 22.56710% 2.21656815 35.27778% 0.3198486453 63.9697%
7.2301E-01 23.01397% 2.23402144 35.55556% 0.3236340219 64.7268%
7.3716E-01 23.46467% 2.25147474 35.83333% 0.3274140168 65.4828%
7.5144E-01 23.91914% 2.26892803 36.11111% 0.331188025 66.2376%
7.6584E-01 24.37731% 2.28638132 36.38889% 0.3349554439 66.9911%
7.8034E-01 24.83915% 2.30383461 36.66667% 0.338715674 67.7431%
7.9497E-01 25.30459% 2.32128791 36.94444% 0.3424681187 68.4936%
8.0970E-01 25.77357% 2.3387412 37.22222% 0.3462121843 69.2424%
8.2454E-01 26.24605% 2.35619449 37.50000% 0.3499472806 69.9895%
8.3949E-01 26.72195% 2.37364778 37.77778% 0.3536728205 70.7346%
8.5455E-01 27.20121% 2.39110108 38.05556% 0.3573882202 71.4776%
8.6971E-01 27.68379% 2.40855437 38.33333% 0.3610928997 72.2186%
8.8497E-01 28.16961% 2.42600766 38.61111% 0.3647862825 72.9573%
9.0034E-01 28.65861% 2.44346095 38.88889% 0.3684677959 73.6936%
9.1580E-01 29.15072% 2.46091425 39.16667% 0.372136871 74.4274%
9.3135E-01 29.64589% 2.47836754 39.44444% 0.3757929432 75.1586%
9.4700E-01 30.14404% 2.49582083 39.72222% 0.3794354515 75.8871%
9.6274E-01 30.64511% 2.51327412 40.00000% 0.3830638395 76.6128%
9.7858E-01 31.14903% 2.53072742 40.27778% 0.3866775551 77.3355%
9.9449E-01 31.65572% 2.54818071 40.55556% 0.3902760503 78.0552%
1.0105E+00 32.16513% 2.565634 40.83333% 0.3938587821 78.7718%
1.0266E+00 32.67718% 2.58308729 41.11111% 0.3974252117 79.4850%
1.0428E+00 33.19180% 2.60054059 41.38889% 0.4009748054 80.1950%
1.0590E+00 33.70892% 2.61799388 41.66667% 0.4045070341 80.9014%
1.0753E+00 34.22846% 2.63544717 41.94444% 0.4080213738 81.6043%
1.0917E+00 34.75035% 2.65290046 42.22222% 0.4115173054 82.3035%
1.1082E+00 35.27452% 2.67035376 42.50000% 0.4149943151 82.9989%
1.1247E+00 35.80088% 2.68780705 42.77778% 0.4184518942 83.6904%
1.1413E+00 36.32938% 2.70526034 43.05556% 0.4218895395 84.3779%
1.1580E+00 36.85992% 2.72271363 43.33333% 0.4253067531 85.0614%
1.1747E+00 37.39243% 2.74016693 43.61111% 0.4287030427 85.7406%
1.1915E+00 37.92684% 2.75762022 43.88889% 0.4320779216 86.4156%
1.2084E+00 38.46306% 2.77507351 44.16667% 0.4354309087 87.0862%
1.2253E+00 39.00102% 2.7925268 44.44444% 0.438761529 87.7523%
1.2422E+00 39.54064% 2.8099801 44.72222% 0.4420693131 88.4139%
1.2592E+00 40.08184% 2.82743339 45.00000% 0.4453537976 89.0708%
1.2763E+00 40.62454% 2.84488668 45.27778% 0.4486145254 89.7229%
1.2934E+00 41.16865% 2.86233997 45.55556% 0.4518510452 90.3702%
1.3105E+00 41.71410% 2.87979327 45.83333% 0.4550629123 91.0126%
1.3277E+00 42.26080% 2.89724656 46.11111% 0.458249688 91.6499%
1.3449E+00 42.80868% 2.91469985 46.38889% 0.4614109401 92.2822%
1.3621E+00 43.35765% 2.93215314 46.66667% 0.4645462429 92.9092%
1.3794E+00 43.90762% 2.94960644 46.94444% 0.4676551771 93.5310%
1.3967E+00 44.45853% 2.96705973 47.22222% 0.4707373303 94.1475%
1.4140E+00 45.01027% 2.98451302 47.50000% 0.4737922964 94.7585%
1.4314E+00 45.56277% 3.00196631 47.77778% 0.4768196764 95.3639%
1.4488E+00 46.11594% 3.01941961 48.05556% 0.479819078 95.9638%
1.4662E+00 46.66971% 3.0368729 48.33333% 0.4827901156 96.5580%
1.4836E+00 47.22398% 3.05432619 48.61111% 0.4857324108 97.1465%
1.5010E+00 47.77868% 3.07177948 48.88889% 0.4886455922 97.7291%
1.5184E+00 48.33371% 3.08923278 49.16667% 0.4915292955 98.3059%
1.5359E+00 48.88900% 3.10668607 49.44444% 0.4943831633 98.8766%
1.5533E+00 49.44446% 3.12413936 49.72222% 0.4972068457 99.4414%
1.5708E+00 50.00000% 3.14159265 50.00000% 0.5 100.0000%
1.5882E+00 50.55554% 3.15904595 50.27778% 0.5027622907 100.5525%
1.6057E+00 51.11100% 3.17649924 50.55556% 0.5054933897 101.0987%
1.6231E+00 51.66629% 3.19395253 50.83333% 0.5081929765 101.6386%
1.6406E+00 52.22132% 3.21140582 51.11111% 0.5108607379 102.1721%
1.6580E+00 52.77602% 3.22885912 51.38889% 0.5134963682 102.6993%
1.6754E+00 53.33029% 3.24631241 51.66667% 0.5160995693 103.2199%
1.6928E+00 53.88406% 3.2637657 51.94444% 0.5186700509 103.7340%
1.7102E+00 54.43723% 3.28121899 52.22222% 0.5212075301 104.2415%
1.7276E+00 54.98973% 3.29867229 52.50000% 0.5237117318 104.7423%
1.7449E+00 55.54147% 3.31612558 52.77778% 0.5261823887 105.2365%
1.7622E+00 56.09238% 3.33357887 53.05556% 0.5286192412 105.7238%
1.7795E+00 56.64235% 3.35103216 53.33333% 0.5310220375 106.2044%
1.7967E+00 57.19132% 3.36848546 53.61111% 0.5333905337 106.6781%
1.8139E+00 57.73920% 3.38593875 53.88889% 0.5357244938 107.1449%
1.8311E+00 58.28590% 3.40339204 54.16667% 0.5380236896 107.6047%
1.8482E+00 58.83135% 3.42084533 54.44444% 0.5402879009 108.0576%
1.8653E+00 59.37546% 3.43829863 54.72222% 0.5425169156 108.5034%
1.8824E+00 59.91816% 3.45575192 55.00000% 0.5447105292 108.9421%
1.8994E+00 60.45936% 3.47320521 55.27778% 0.5468685457 109.3737%
1.9163E+00 60.99898% 3.4906585 55.55556% 0.5489907768 109.7982%
1.9332E+00 61.53694% 3.5081118 55.83333% 0.5510770423 110.2154%
1.9501E+00 62.07316% 3.52556509 56.11111% 0.5531271702 110.6254%
1.9669E+00 62.60757% 3.54301838 56.38889% 0.5551409965 111.0282%
1.9836E+00 63.14008% 3.56047167 56.66667% 0.5571183652 111.4237%
2.0003E+00 63.67062% 3.57792497 56.94444% 0.5590591286 111.8118%
2.0169E+00 64.19912% 3.59537826 57.22222% 0.560963147 112.1926%
2.0334E+00 64.72548% 3.61283155 57.50000% 0.5628302888 112.5661%
2.0499E+00 65.24965% 3.63028484 57.77778% 0.5646604306 112.9321%
2.0663E+00 65.77154% 3.64773814 58.05556% 0.5664534572 113.2907%
2.0826E+00 66.29108% 3.66519143 58.33333% 0.5682092613 113.6419%
2.0988E+00 66.80820% 3.68264472 58.61111% 0.569927744 113.9855%
2.1150E+00 67.32282% 3.70009801 58.88889% 0.5716088144 114.3218%
2.1311E+00 67.83487% 3.71755131 59.16667% 0.5732523898 114.6505%
2.1471E+00 68.34428% 3.7350046 59.44444% 0.5748583956 114.9717%
2.1630E+00 68.85097% 3.75245789 59.72222% 0.5764267652 115.2854%
2.1788E+00 69.35489% 3.76991118 60.00000% 0.5779574403 115.5915%
2.1946E+00 69.85596% 3.78736448 60.27778% 0.5794503707 115.8901%
2.2102E+00 70.35411% 3.80481777 60.55556% 0.5809055141 116.1811%
2.2258E+00 70.84928% 3.82227106 60.83333% 0.5823228365 116.4646%
2.2413E+00 71.34139% 3.83972435 61.11111% 0.5837023117 116.7405%
2.2566E+00 71.83039% 3.85717765 61.38889% 0.5850439219 117.0088%
2.2719E+00 72.31621% 3.87463094 61.66667% 0.586347657 117.2695%
2.2870E+00 72.79879% 3.89208423 61.94444% 0.5876135149 117.5227%
2.3021E+00 73.27805% 3.90953752 62.22222% 0.5888415019 117.7683%
2.3170E+00 73.75395% 3.92699082 62.50000% 0.5900316316 118.0063%
2.3319E+00 74.22643% 3.94444411 62.77778% 0.5911839261 118.2368%
2.3466E+00 74.69541% 3.9618974 63.05556% 0.5922984151 118.4597%
2.3612E+00 75.16085% 3.97935069 63.33333% 0.5933751361 118.6750%
2.3758E+00 75.62269% 3.99680399 63.61111% 0.5944141347 118.8828%
2.3902E+00 76.08086% 4.01425728 63.88889% 0.5954154642 119.0831%
2.4044E+00 76.53533% 4.03171057 64.16667% 0.5963791854 119.2758%
2.4186E+00 76.98603% 4.04916386 64.44444% 0.5973053672 119.4611%
2.4326E+00 77.43290% 4.06661716 64.72222% 0.598194086 119.6388%
2.4465E+00 77.87591% 4.08407045 65.00000% 0.5990454259 119.8091%
2.4603E+00 78.31499% 4.10152374 65.27778% 0.5998594785 119.9719%
2.4740E+00 78.75010% 4.11897703 65.55556% 0.6006363431 120.1273%
2.4876E+00 79.18119% 4.13643033 65.83333% 0.6013761265 120.2752%
2.5010E+00 79.60822% 4.15388362 66.11111% 0.6020789427 120.4158%
2.5143E+00 80.03113% 4.17133691 66.38889% 0.6027449135 120.5490%
2.5274E+00 80.44989% 4.1887902 66.66667% 0.6033741679 120.6748%
2.5404E+00 80.86445% 4.2062435 66.94444% 0.6039668421 120.7934%
2.5533E+00 81.27477% 4.22369679 67.22222% 0.6045230798 120.9046%
2.5661E+00 81.68081% 4.24115008 67.50000% 0.6050430316 121.0086%
2.5787E+00 82.08253% 4.25860337 67.77778% 0.6055268555 121.1054%
2.5912E+00 82.47989% 4.27605667 68.05556% 0.6059747166 121.1949%
2.6035E+00 82.87286% 4.29350996 68.33333% 0.6063867868 121.2774%
2.6157E+00 83.26140% 4.31096325 68.61111% 0.6067632452 121.3526%
2.6278E+00 83.64548% 4.32841654 68.88889% 0.6071042776 121.4209%
2.6397E+00 84.02506% 4.34586984 69.16667% 0.6074100769 121.4820%
2.6515E+00 84.40012% 4.36332313 69.44444% 0.6076808424 121.5362%
2.6631E+00 84.77062% 4.38077642 69.72222% 0.6079167805 121.5834%
2.6746E+00 85.13653% 4.39822972 70.00000% 0.6081181041 121.6236%
2.6860E+00 85.49784% 4.41568301 70.27778% 0.6082850325 121.6570%
2.6972E+00 85.85451% 4.4331363 70.55556% 0.6084177917 121.6836%
2.7083E+00 86.20652% 4.45058959 70.83333% 0.6085166141 121.7033%
2.7192E+00 86.55385% 4.46804289 71.11111% 0.6085817383 121.7163%
2.7299E+00 86.89647% 4.48549618 71.38889% 0.6086134093 121.7227%
2.7405E+00 87.23437% 4.50294947 71.66667% 0.6086118784 121.7224%
2.7510E+00 87.56753% 4.52040276 71.94444% 0.6085774028 121.7155%
2.7613E+00 87.89592% 4.53785606 72.22222% 0.6085102459 121.7020%
2.7715E+00 88.21955% 4.55530935 72.50000% 0.608410677 121.6821%
2.7815E+00 88.53838% 4.57276264 72.77778% 0.6082789712 121.6558%
2.7914E+00 88.85242% 4.59021593 73.05556% 0.6081154096 121.6231%
2.8011E+00 89.16164% 4.60766923 73.33333% 0.6079202789 121.5841%
2.8107E+00 89.46604% 4.62512252 73.61111% 0.6076938713 121.5388%
2.8201E+00 89.76561% 4.64257581 73.88889% 0.6074364847 121.4873%
2.8293E+00 90.06035% 4.6600291 74.16667% 0.6071484225 121.4297%
2.8384E+00 90.35024% 4.6774824 74.44444% 0.6068299934 121.3660%
2.8474E+00 90.63529% 4.69493569 74.72222% 0.6064815113 121.2963%
2.8562E+00 90.91549% 4.71238898 75.00000% 0.6061032954 121.2207%
2.8648E+00 91.19085% 4.72984227 75.27778% 0.6056956699 121.1391%
2.8733E+00 91.46135% 4.74729557 75.55556% 0.6052589641 121.0518%
2.8817E+00 91.72702% 4.76474886 75.83333% 0.6047935122 120.9587%
2.8899E+00 91.98784% 4.78220215 76.11111% 0.6042996531 120.8599%
2.8979E+00 92.24382% 4.79965544 76.38889% 0.6037777305 120.7555%
2.9058E+00 92.49497% 4.81710874 76.66667% 0.6032280928 120.6456%
2.9136E+00 92.74131% 4.83456203 76.94444% 0.6026510929 120.5302%
2.9211E+00 92.98283% 4.85201532 77.22222% 0.602047088 120.4094%
2.9286E+00 93.21955% 4.86946861 77.50000% 0.6014164398 120.2833%
2.9359E+00 93.45148% 4.88692191 77.77778% 0.6007595141 120.1519%
2.9430E+00 93.67864% 4.9043752 78.05556% 0.6000766809 120.0153%
2.9500E+00 93.90104% 4.92182849 78.33333% 0.5993683143 119.8737%
2.9568E+00 94.11869% 4.93928178 78.61111% 0.5986347922 119.7270%
2.9635E+00 94.33162% 4.95673508 78.88889% 0.5978764965 119.5753%
2.9701E+00 94.53985% 4.97418837 79.16667% 0.5970938126 119.4188%
2.9765E+00 94.74340% 4.99164166 79.44444% 0.5962871297 119.2574%
2.9827E+00 94.94229% 5.00909495 79.72222% 0.5954568405 119.0914%
2.9888E+00 95.13653% 5.02654825 80.00000% 0.5946033411 118.9207%
2.9948E+00 95.32617% 5.04400154 80.27778% 0.5937270309 118.7454%
3.0006E+00 95.51123% 5.06145483 80.55556% 0.5928283124 118.5657%
3.0062E+00 95.69173% 5.07890812 80.83333% 0.5919075915 118.3815%
3.0118E+00 95.86770% 5.09636142 81.11111% 0.5909652769 118.1931%
3.0172E+00 96.03918% 5.11381471 81.38889% 0.5900017801 118.0004%
3.0224E+00 96.20619% 5.131268 81.66667% 0.5890175155 117.8035%
3.0275E+00 96.36878% 5.14872129 81.94444% 0.5880129002 117.6026%
3.0325E+00 96.52697% 5.16617459 82.22222% 0.5869883539 117.3977%
3.0373E+00 96.68081% 5.18362788 82.50000% 0.5859442986 117.1889%
3.0420E+00 96.83033% 5.20108117 82.77778% 0.5848811587 116.9762%
3.0466E+00 96.97556% 5.21853446 83.05556% 0.583799361 116.7599%
3.0510E+00 97.11656% 5.23598776 83.33333% 0.5826993343 116.5399%
3.0553E+00 97.25335% 5.25344105 83.61111% 0.5815815094 116.3163%
3.0595E+00 97.38599% 5.27089434 83.88889% 0.5804463191 116.0893%
3.0635E+00 97.51452% 5.28834763 84.16667% 0.5792941979 115.8588%
3.0674E+00 97.63899% 5.30580093 84.44444% 0.5781255822 115.6251%
3.0712E+00 97.75943% 5.32325422 84.72222% 0.5769409097 115.3882%
3.0749E+00 97.87591% 5.34070751 85.00000% 0.5757406198 115.1481%
3.0784E+00 97.98846% 5.3581608 85.27778% 0.5745251532 114.9050%
3.0818E+00 98.09714% 5.3756141 85.55556% 0.5732949519 114.6590%
3.0851E+00 98.20200% 5.39306739 85.83333% 0.572050459 114.4101%
3.0883E+00 98.30309% 5.41052068 86.11111% 0.5707921186 114.1584%
3.0913E+00 98.40046% 5.42797397 86.38889% 0.5695203757 113.9041%
3.0943E+00 98.49418% 5.44542727 86.66667% 0.5682356764 113.6471%
3.0971E+00 98.58430% 5.46288056 86.94444% 0.5669384671 113.3877%
3.0998E+00 98.67087% 5.48033385 87.22222% 0.5656291952 113.1258%
3.1024E+00 98.75395% 5.49778714 87.50000% 0.5643083083 112.8617%
3.1049E+00 98.83361% 5.51524044 87.77778% 0.5629762545 112.5953%
3.1073E+00 98.90990% 5.53269373 88.05556% 0.5616334821 112.3267%
3.1096E+00 98.98288% 5.55014702 88.33333% 0.5602804398 112.0561%
3.1118E+00 99.05261% 5.56760031 88.61111% 0.558917576 111.7835%
3.1139E+00 99.11917% 5.58505361 88.88889% 0.5575453393 111.5091%
3.1159E+00 99.18261% 5.6025069 89.16667% 0.5561641781 111.2328%
3.1178E+00 99.24300% 5.61996019 89.44444% 0.5547745406 110.9549%
3.1196E+00 99.30041% 5.63741348 89.72222% 0.5533768744 110.6754%
3.1213E+00 99.35489% 5.65486678 90.00000% 0.5519716269 110.3943%
3.1229E+00 99.40653% 5.67232007 90.27778% 0.5505592447 110.1118%
3.1245E+00 99.45539% 5.68977336 90.55556% 0.5491401738 109.8280%
3.1259E+00 99.50153% 5.70722665 90.83333% 0.5477148594 109.5430%
3.1273E+00 99.54504% 5.72467995 91.11111% 0.5462837459 109.2567%
3.1286E+00 99.58597% 5.74213324 91.38889% 0.5448472766 108.9695%
3.1298E+00 99.62441% 5.75958653 91.66667% 0.5434058936 108.6812%
3.1309E+00 99.66043% 5.77703982 91.94444% 0.5419600379 108.3920%
3.1320E+00 99.69409% 5.79449312 92.22222% 0.5405101493 108.1020%
3.1330E+00 99.72548% 5.81194641 92.50000% 0.539056666 107.8113%
3.1339E+00 99.75467% 5.8293997 92.77778% 0.5376000248 107.5200%
3.1347E+00 99.78173% 5.84685299 93.05556% 0.5361406608 107.2281%
3.1355E+00 99.80675% 5.86430629 93.33333% 0.5346790075 106.9358%
3.1362E+00 99.82979% 5.88175958 93.61111% 0.5332154964 106.6431%
3.1369E+00 99.85094% 5.89921287 93.88889% 0.5317505574 106.3501%
3.1375E+00 99.87027% 5.91666616 94.16667% 0.530284618 106.0569%
3.1381E+00 99.88786% 5.93411946 94.44444% 0.528818104 105.7636%
3.1386E+00 99.90380% 5.95157275 94.72222% 0.5273514387 105.4703%
3.1390E+00 99.91816% 5.96902604 95.00000% 0.5258850432 105.1770%
3.1394E+00 99.93102% 5.98647933 95.27778% 0.5244193363 104.8839%
3.1398E+00 99.94246% 6.00393263 95.55556% 0.5229547343 104.5909%
3.1401E+00 99.95257% 6.02138592 95.83333% 0.5214916506 104.2983%
3.1404E+00 99.96142% 6.03883921 96.11111% 0.5200304965 104.0061%
3.1406E+00 99.96910% 6.0562925 96.38889% 0.5185716801 103.7143%
3.1408E+00 99.97568% 6.0737458 96.66667% 0.5171156069 103.4231%
3.1410E+00 99.98126% 6.09119909 96.94444% 0.5156626793 103.1325%
3.1412E+00 99.98592% 6.10865238 97.22222% 0.5142132967 102.8427%
3.1413E+00 99.98973% 6.12610567 97.50000% 0.5127678556 102.5536%
3.1414E+00 99.99279% 6.14355897 97.77778% 0.511326749 102.2653%
3.1414E+00 99.99517% 6.16101226 98.05556% 0.5098903669 101.9781%
3.1415E+00 99.99696% 6.17846555 98.33333% 0.5084590957 101.6918%
3.1415E+00 99.99824% 6.19591884 98.61111% 0.5070333186 101.4067%
3.1416E+00 99.99910% 6.21337214 98.88889% 0.5056134151 101.1227%
3.1416E+00 99.99962% 6.23082543 99.16667% 0.5041997611 100.8400%
3.1416E+00 99.99989% 6.24827872 99.44444% 0.5027927289 100.5585%
3.1416E+00 99.99999% 6.26573201 99.72222% 0.501392687 100.2785%
3.1416E+00 100.00000% 6.28318531 100.00000% 0.5 100.0000%
D=2 m