Le\;plus\;petit\;triangle\;adossé\;à\;une\;parabole

M

A

B

O

T_g

Pa

On\;désigne\;par:\
*\;le\;curseur\;a=x:l'abscisse\;du\;point\;M\
*\;Pa:\;la\;parabole\;d'équation:y=1-x^{2}\
*\;poly1:l'aire\;du\;triangle\;OAB\
*\;T_g:la\;tangente\;à\;Pa\;en\;M\
*\;S:le\;point\;de\;coordonnées\;(x=a\;,\;poly1)

Conjectures:\
*\;1^{ère}\;méthode:d'après\;les\;traces\;de\;S\
    \;\;\;\;\;\;         x=0.578        \;\;\;\;\;\;\;et\;\;\;\;\;\;\;\;aire(OAB)=0.76980   \
*\;2^{ème}\;méthode:d'après \;un\;tableur\;de\; pas\;2×10^{-3}\
\;\;\;\;\;\;\;\;        x=0.578             \;\;\;\;\;et\;\;\;\;\;aire(OAB)= 0.7698\;\;\;(ligne\;349)                                                                        

f(x) = 1 - x^(2)
P = Function(f, 0, 1)
O = (0, 0)
a = 1 (slider from 0 to 1, step 0.0010)
M: (a, P(a))
T = Tangent(M, P)
A = Intersect(T, xAxis)
B = Intersect(T, yAxis)
poly1, b, o, a_1 = Polygon(O, A, B)
S: (a, poly1)
Name(S)
Name(S)
texte2: "S(" + (LaTeX[a]) + "\;,\;" + (LaTeX[poly1]) + ")"
C = Point(T)
D = Point(P)
c = OrthogonalLine(S, a_1)
d = OrthogonalLine(S, xAxis)
E = Intersect(c, a_1)
F = Intersect(d, b)
e = Segment(S, F)
g = Segment(S, E)
texte11: "x=" + (LaTeX[a]) + ""
texte12: "aire(OAB)=" + (LaTeX[poly1]) + ""
Name(S)
A1: "x(" + (Name[S] + ")")
Name(S)
B1: "y(" + (Name[S] + ")")
A2 = NaN
B2 = NaN
A3 = 0.0020
B3 = 125.00100000199998
A4 = 0.0030
B4 = 83.33483334008332
A5 = 0.0050
B5 = 50.002500031249994
A6 = 0.0070
B6 = 35.71778580003571
A7 = 0.0080
B7 = 31.254000128
A8 = 0.01
B8 = 25.00500025
A9 = 0.012
B9 = 20.83933376533333
A10 = 0.013
B10 = 19.237269780019236
A11 = 0.015
B11 = 16.674167510416662
A12 = 0.017
B12 = 14.714383581191173
A13 = 0.018
B13 = 13.897890346888888
A14 = 0.02
B14 = 12.510001999999998
A15 = 0.022
B15 = 11.374639025636363
A16 = 0.023
B16 = 10.881068259141303
A17 = 0.025
B17 = 10.01250390625
A18 = 0.027
B18 = 9.27276418000926
A19 = 0.028
B19 = 8.942576916571428
A20 = 0.03
B20 = 8.348340083333332
A21 = 0.032
B21 = 7.828508191999998
A22 = 0.033
B22 = 7.592266560007574
A23 = 0.035
B23 = 7.160367861607143
A24 = 0.037
B24 = 6.775269420006756
A25 = 0.038
B25 = 6.597961086421053
A26 = 0.04
B26 = 6.270016
A27 = 0.042
B27 = 5.973399474380953
A28 = 0.043
B28 = 5.835473365122094
A29 = 0.045
B29 = 5.5780783368055555
A30 = 0.047
B30 = 5.342674891920211
A31 = 0.048
B31 = 5.2323609813333345
A32 = 0.05
B32 = 5.025031249999999
A33 = 0.052
B33 = 4.833727459692308
A34 = 0.053
B34 = 4.743518351325472
A35 = 0.055
B35 = 4.5729961392045455
A36 = 0.057
B36 = 4.414511210530702
A37 = 0.058
B37 = 4.339393605586206
A38 = 0.06
B38 = 4.196720666666668
A39 = 0.062
B39 = 4.063317646516128
A40 = 0.063
B40 = 3.9998164800039695
A41 = 0.065
B41 = 3.878722502403845
A42 = 0.067
B42 = 3.7649184743320894
A43 = 0.068
B43 = 3.7105491962352932
A44 = 0.07
B44 = 3.60651432142857
A45 = 0.072
B45 = 3.5083155342222234
A46 = 0.073
B46 = 3.4612547884965754
A47 = 0.075
B47 = 3.3709388020833337
A48 = 0.077
B48 = 3.2853673800032475
A49 = 0.078
B49 = 3.244246843128205
A50 = 0.08
B50 = 3.1651279999999997
A51 = 0.082
B51 = 3.0899183298048776
A52 = 0.083
B52 = 3.0536911395210837
A53 = 0.085
B53 = 2.9838300018382355
A54 = 0.087
B54 = 2.9172278441408044
A55 = 0.088
B55 = 2.885079458909091
A56 = 0.09
B56 = 2.822960027777778
A57 = 0.092
B57 = 2.7635859763478265
A58 = 0.093
B58 = 2.734873132260752
A59 = 0.095
B59 = 2.6792932911184213
A60 = 0.097
B60 = 2.626047755878866
A61 = 0.098
B61 = 2.6002557061632645
A62 = 0.1
B62 = 2.5502499999999997
A63 = 0.102
B63 = 2.5022456941568634
A64 = 0.103
B64 = 2.478957647769418
A65 = 0.105
B65 = 2.4337417872023814
A66 = 0.107
B66 = 2.390254858880841
A67 = 0.108
B67 = 2.3691297428148146
A68 = 0.11
B68 = 2.3280600227272727
A69 = 0.112
B69 = 2.2884940891428576
A70 = 0.113
B70 = 2.269250104780973
A71 = 0.115
B71 = 2.231793262228261
A72 = 0.117
B72 = 2.1956525400021367
A73 = 0.118
B73 = 2.1780548257966106
A74 = 0.12
B74 = 2.1437653333333335
A75 = 0.122
B75 = 2.110634289868852
A76 = 0.123
B76 = 2.094485541953252
A77 = 0.125
B77 = 2.06298828125
A78 = 0.127
B78 = 2.0325160327578744
A79 = 0.128
B79 = 2.017649288
A80 = 0.13
B80 = 1.9886261730769226
A81 = 0.132
B81 = 1.9605143859393943
A82 = 0.133
B82 = 1.946787407370301
A83 = 0.135
B83 = 1.9199669456018515
A84 = 0.137
B84 = 1.893960356498175
A85 = 0.138
B85 = 1.881251220898551
A86 = 0.14
B86 = 1.8564002857142858
A87 = 0.142
B87 = 1.8322792022816905
A88 = 0.143
B88 = 1.8204828000017488
A89 = 0.145
B89 = 1.797400087284483
A90 = 0.147
B90 = 1.7749744028588437
A91 = 0.148
B91 = 1.7639996371891888
A92 = 0.15
B92 = 1.7425104166666665
A93 = 0.152
B93 = 1.7216147941052633
A94 = 0.153
B94 = 1.7113823223545754
A95 = 0.155
B95 = 1.6913341945564515
A96 = 0.157
B96 = 1.6718241611480888
A97 = 0.158
B97 = 1.6622645590126581
A98 = 0.16
B98 = 1.6435240000000004
A99 = 0.162
B99 = 1.6252727585432096
A100 = 0.163
B100 = 1.6163250180383437
A101 = 0.165
B101 = 1.5987745464015153
A102 = 0.167
B102 = 1.5816703537739523
A103 = 0.168
B103 = 1.573280646095238
A104 = 0.17
B104 = 1.5568164852941173
A105 = 0.172
B105 = 1.5407604840930234
A106 = 0.173
B106 = 1.5328811344523126
A107 = 0.175
B107 = 1.5174112723214284
A108 = 0.177
B108 = 1.5023156867810732
A109 = 0.178
B109 = 1.494904320022472
A110 = 0.18
B110 = 1.4803468888888887
A111 = 0.182
B111 = 1.4661335156263735
A112 = 0.183
B112 = 1.4591523403292355
A113 = 0.185
B113 = 1.4454342576013512
A114 = 0.187
B114 = 1.4320331964719253
A115 = 0.188
B115 = 1.425448402042553
A116 = 0.19
B116 = 1.4125042236842107
A117 = 0.192
B117 = 1.3998528053333332
A118 = 0.193
B118 = 1.3936340518147672
A119 = 0.195
B119 = 1.381405000801282
A120 = 0.197
B120 = 1.3694468762449241
A121 = 0.198
B121 = 1.3635668606262625
A122 = 0.2
B122 = 1.352
A123 = 0.202
B123 = 1.3406843643762376
A124 = 0.203
B124 = 1.3351184503460591
A125 = 0.205
B125 = 1.3241659763719513
A126 = 0.207
B126 = 1.3134469043490336
A127 = 0.208
B127 = 1.3081728049230767
A128 = 0.21
B128 = 1.2977914404761905
A129 = 0.212
B129 = 1.2876273150188682
A130 = 0.213
B130 = 1.2826248194377934
A131 = 0.215
B131 = 1.2727752914244186
A132 = 0.217
B132 = 1.263128310968894
A133 = 0.218
B133 = 1.2583790488256876
A134 = 0.22
B134 = 1.2490256363636363
A135 = 0.222
B135 = 1.2398613881261262
A136 = 0.223
B136 = 1.2353486249338563
A137 = 0.225
B137 = 1.226458767361111
A138 = 0.227
B138 = 1.2177458566530837
A139 = 0.228
B139 = 1.2134543160701754
A140 = 0.23
B140 = 1.2049982717391308
A141 = 0.232
B141 = 1.1967079988965519
A142 = 0.233
B142 = 1.192623707640558
A143 = 0.235
B143 = 1.1845742559840426
A144 = 0.237
B144 = 1.1766803339251055
A145 = 0.238
B145 = 1.1727904860672267
A146 = 0.24
B146 = 1.165122666666667
A147 = 0.242
B147 = 1.1576009732396697
A148 = 0.243
B148 = 1.1538938111121397
A149 = 0.245
B149 = 1.1465846945153062
A150 = 0.247
B150 = 1.1394130547378545
A151 = 0.248
B151 = 1.1358777641290323
A152 = 0.25
B152 = 1.12890625
A153 = 0.252
B153 = 1.122064244063492
A154 = 0.253
B154 = 1.1186908617401186
A155 = 0.255
B155 = 1.1120375006127448
A156 = 0.257
B156 = 1.1055062941643967
A157 = 0.258
B157 = 1.1022856260620155
A158 = 0.26
B158 = 1.0959324615384618
A159 = 0.262
B159 = 1.0896946552824427
A160 = 0.263
B160 = 1.0866182039553232
A161 = 0.265
B161 = 1.0805486326650944
A162 = 0.267
B162 = 1.074588128764981
A163 = 0.268
B163 = 1.0716480288955226
A164 = 0.27
B164 = 1.0658466759259257
A165 = 0.272
B165 = 1.0601485590588235
A166 = 0.273
B166 = 1.0573375200009159
A167 = 0.275
B167 = 1.0517901278409092
A168 = 0.277
B168 = 1.0463405590622743
A169 = 0.278
B169 = 1.0436518135395685
A170 = 0.28
B170 = 1.0383451428571426
A171 = 0.282
B171 = 1.033131264695036
A172 = 0.283
B172 = 1.0305585228984102
A173 = 0.285
B173 = 1.0254802637061402
A174 = 0.287
B174 = 1.0204901151228223
A175 = 0.288
B175 = 1.0180275235555556
A176 = 0.29
B176 = 1.0131662155172414
A177 = 0.292
B177 = 1.008388655561644
A178 = 0.293
B178 = 1.0060307600691127
A179 = 0.295
B179 = 1.001375720868644
A180 = 0.297
B180 = 0.9968003600008418
A181 = 0.298
B181 = 0.9945420724966445
A182 = 0.3
B182 = 0.9900833333333335
A183 = 0.302
B183 = 0.9857004715364239
A184 = 0.303
B184 = 0.9835370400008252
A185 = 0.305
B185 = 0.9792652873975408
A186 = 0.307
B186 = 0.9750658583070034
A187 = 0.308
B187 = 0.9729928396883114
A188 = 0.31
B188 = 0.9688993629032259
A189 = 0.312
B189 = 0.9648748832820515
A190 = 0.313
B190 = 0.9628881189784345
A191 = 0.315
B191 = 0.9589647624007939
A192 = 0.317
B192 = 0.9551072863730284
A193 = 0.318
B193 = 0.9532028800125787
A194 = 0.32
B194 = 0.949442
A195 = 0.322
B195 = 0.9457440775279505
A196 = 0.323
B196 = 0.9439183747995354
A197 = 0.325
B197 = 0.9403128004807694
A198 = 0.327
B198 = 0.936767439633792
A199 = 0.328
B199 = 0.9350170099512197
A200 = 0.33
B200 = 0.9315600075757574
A201 = 0.332
B201 = 0.9281606401927712
A202 = 0.333
B202 = 0.9264822600007507
A203 = 0.335
B203 = 0.9231675004664178
A204 = 0.337
B204 = 0.919907950861276
A205 = 0.338
B205 = 0.9182985884142011
A206 = 0.34
B206 = 0.9151201176470587
A207 = 0.342
B207 = 0.9119945740467833
A208 = 0.343
B208 = 0.9104513755109331
A209 = 0.345
B209 = 0.9074035874094203
A210 = 0.347
B210 = 0.9044065758508646
A211 = 0.348
B211 = 0.9029268525977011
A212 = 0.35
B212 = 0.9000044642857145
A213 = 0.352
B213 = 0.8971308247272727
A214 = 0.353
B214 = 0.895712041700425
A215 = 0.355
B215 = 0.8929100708626758
A216 = 0.357
B216 = 0.8901549352948178
A217 = 0.358
B217 = 0.8887947003463686
A218 = 0.36
B218 = 0.8861084444444444
A219 = 0.362
B219 = 0.88346721680663
A220 = 0.363
B220 = 0.8821632709097798
A221 = 0.365
B221 = 0.879588288099315
A222 = 0.367
B222 = 0.8770566258317436
A223 = 0.368
B223 = 0.8758068340869565
A224 = 0.37
B224 = 0.8733389256756757
A225 = 0.372
B225 = 0.8709127227526878
A226 = 0.373
B226 = 0.869715066113271
A227 = 0.375
B227 = 0.8673502604166666
A228 = 0.377
B228 = 0.8650256317248014
A229 = 0.378
B229 = 0.8638781993756613
A230 = 0.38
B230 = 0.8616127368421054
A231 = 0.382
B231 = 0.8593860037801045
A232 = 0.383
B232 = 0.8582869861103131
A233 = 0.385
B233 = 0.8561173056006494
A234 = 0.387
B234 = 0.8539849827913437
A235 = 0.388
B235 = 0.8529326649072164
A236 = 0.39
B236 = 0.8508553910256408
A237 = 0.392
B237 = 0.8488141740408164
A238 = 0.393
B238 = 0.8478069297716286
A239 = 0.395
B239 = 0.8458188611550634
A240 = 0.397
B240 = 0.8438656151643578
A241 = 0.398
B241 = 0.8429019015175878
A242 = 0.4
B242 = 0.8410000000000002
A243 = 0.402
B243 = 0.8391317492636816
A244 = 0.403
B244 = 0.8382101012909429
A245 = 0.405
B245 = 0.836391481867284
A246 = 0.407
B246 = 0.8346054000006146
A247 = 0.408
B247 = 0.8337244260392157
A248 = 0.41
B248 = 0.8319863475609756
A249 = 0.412
B249 = 0.8302797485048543
A250 = 0.413
B250 = 0.8294381257633171
A251 = 0.415
B251 = 0.827777982304217
A252 = 0.417
B252 = 0.8261483119430455
A253 = 0.418
B253 = 0.8253447824019137
A254 = 0.42
B254 = 0.823760095238095
A255 = 0.422
B255 = 0.8222049236113744
A256 = 0.423
B256 = 0.8214382902133568
A257 = 0.425
B257 = 0.8199267003676471
A258 = 0.427
B258 = 0.818443714426815
A259 = 0.428
B259 = 0.8177128375327103
A260 = 0.43
B260 = 0.8162720988372094
A261 = 0.432
B261 = 0.8148590957037035
A262 = 0.433
B262 = 0.8141628897927252
A263 = 0.435
B263 = 0.8127908624281608
A264 = 0.437
B264 = 0.8114457431127001
A265 = 0.438
B265 = 0.8107831737077624
A266 = 0.44
B266 = 0.8094778181818181
A267 = 0.442
B267 = 0.8081985817285069
A268 = 0.443
B268 = 0.8075686625287809
A269 = 0.445
B269 = 0.8063280340589886
A270 = 0.447
B270 = 0.8051127720810963
A271 = 0.448
B271 = 0.8045145622857143
A272 = 0.45
B272 = 0.8033368055555558
A273 = 0.452
B273 = 0.8021836971327434
A274 = 0.453
B274 = 0.8016162989409492
A275 = 0.455
B275 = 0.8004996432005493
A276 = 0.457
B276 = 0.799406950109956
A277 = 0.458
B277 = 0.7988695063842792
A278 = 0.46
B278 = 0.7978122608695652
A279 = 0.462
B279 = 0.796778323125541
A280 = 0.463
B280 = 0.7962700152057235
A281 = 0.465
B281 = 0.7952705648521506
A282 = 0.467
B282 = 0.7942937965315846
A283 = 0.468
B283 = 0.7938138421880343
A284 = 0.47
B284 = 0.7928706436170212
A285 = 0.472
B285 = 0.7919495289491524
A286 = 0.473
B286 = 0.791497180465645
A287 = 0.475
B287 = 0.7906087582236843
A288 = 0.477
B288 = 0.7897418479250525
A289 = 0.478
B289 = 0.7893163903012551
A290 = 0.48
B290 = 0.7884813333333334
A291 = 0.482
B291 = 0.7876672411701244
A292 = 0.483
B292 = 0.7872679904353004
A293 = 0.485
B293 = 0.7864849487757732
A294 = 0.487
B294 = 0.785722348337269
A295 = 0.488
B295 = 0.7853486499672131
A296 = 0.49
B296 = 0.7846163316326531
A297 = 0.492
B297 = 0.7839039533008131
A298 = 0.493
B298 = 0.7835551807307303
A299 = 0.495
B299 = 0.782872348800505
A300 = 0.497
B300 = 0.7822089769019116
A301 = 0.498
B301 = 0.7818845301285139
A302 = 0.5
B302 = 0.78125
A303 = 0.502
B303 = 0.7806344701274899
A304 = 0.503
B304 = 0.7803337743941352
A305 = 0.505
B305 = 0.7797464112004948
A306 = 0.507
B306 = 0.7791776076928005
A307 = 0.508
B307 = 0.7789001122519685
A308 = 0.51
B308 = 0.7783588284313725
A309 = 0.512
B309 = 0.7778356820000001
A310 = 0.513
B310 = 0.7775808589478557
A311 = 0.515
B311 = 0.7770846119538835
A312 = 0.517
B312 = 0.7766060974472919
A313 = 0.518
B313 = 0.7763734406254826
A314 = 0.52
B314 = 0.7759212307692308
A315 = 0.522
B315 = 0.775486365065134
A316 = 0.523
B316 = 0.7752753890253345
A317 = 0.525
B317 = 0.7748662574404762
A318 = 0.527
B318 = 0.7744740974577797
A319 = 0.528
B319 = 0.7742843364848483
A320 = 0.53
B320 = 0.7739173632075471
A321 = 0.532
B321 = 0.7735670040300754
A322 = 0.533
B322 = 0.7733980112199812
A323 = 0.535
B323 = 0.7730723133761681
A324 = 0.537
B324 = 0.7727628864809123
A325 = 0.538
B325 = 0.7726142328698885
A326 = 0.54
B326 = 0.7723289629629627
A327 = 0.542
B327 = 0.7720596345461254
A328 = 0.543
B328 = 0.7719309082877532
A329 = 0.545
B329 = 0.7716852525802753
A330 = 0.547
B330 = 0.7714552219748628
A331 = 0.548
B331 = 0.771346027562044
A332 = 0.55
B332 = 0.7711392045454547
A333 = 0.552
B333 = 0.7709477027246378
A334 = 0.553
B334 = 0.7708576602536166
A335 = 0.555
B335 = 0.7706889192004507
A336 = 0.557
B336 = 0.7705352073613108
A337 = 0.558
B337 = 0.7704639518351256
A338 = 0.56
B338 = 0.7703325714285715
A339 = 0.562
B339 = 0.7702159396512458
A340 = 0.563
B340 = 0.7701631203201598
A341 = 0.565
B341 = 0.7700684073561946
A342 = 0.567
B342 = 0.7699881733337746
A343 = 0.568
B343 = 0.7699534530704224
A344 = 0.57
B344 = 0.7698947412280702
A345 = 0.572
B345 = 0.7698502490629371
A346 = 0.573
B346 = 0.76983330377007
A347 = 0.575
B347 = 0.7698099524456522
A348 = 0.577
B348 = 0.7698005715082323
A349 = 0.578
B349 = 0.7698010895570934
A350 = 0.58
B350 = 0.7698124827586206
A351 = 0.582
B351 = 0.769837606604811
A352 = 0.583
B352 = 0.7698552883023155
A353 = 0.585
B353 = 0.7699008336004274
A354 = 0.587
B354 = 0.7699598789442078
A355 = 0.588
B355 = 0.7699944360272107
A356 = 0.59
B356 = 0.7700735635593221
A357 = 0.592
B357 = 0.7701659692972974
A358 = 0.593
B358 = 0.770217124452361
A359 = 0.595
B359 = 0.7703292859768908
A360 = 0.597
B360 = 0.7704545122617253
A361 = 0.598
B361 = 0.7705219986688961
A362 = 0.6
B362 = 0.7706666666666666
A363 = 0.602
B363 = 0.770824194026578
A364 = 0.603
B364 = 0.7709077549257877
A365 = 0.605
B365 = 0.7710844217458679
A366 = 0.607
B366 = 0.7712737502475289
A367 = 0.608
B367 = 0.7713731385263158
A368 = 0.61
B368 = 0.7715813155737706
A369 = 0.612
B369 = 0.7718019640261438
A370 = 0.613
B370 = 0.7719169418274878
A371 = 0.615
B371 = 0.7721561587906505
A372 = 0.617
B372 = 0.772407663987439
A373 = 0.618
B373 = 0.7725380023365698
A374 = 0.62
B374 = 0.7728078064516127
A375 = 0.622
B375 = 0.7730897224501608
A376 = 0.623
B376 = 0.7732352008992779
A377 = 0.625
B377 = 0.77353515625
A378 = 0.627
B378 = 0.7738470536846093
A379 = 0.628
B379 = 0.7740074599745224
A380 = 0.63
B380 = 0.7743371468253969
A381 = 0.632
B381 = 0.7746786122531646
A382 = 0.633
B382 = 0.7748537419909161
A383 = 0.635
B383 = 0.7752127561515747
A384 = 0.637
B384 = 0.7755833914289637
A385 = 0.638
B385 = 0.7757730477805642
A386 = 0.64
B386 = 0.7761610000000002
A387 = 0.642
B387 = 0.7765604216884737
A388 = 0.643
B388 = 0.7767644150859253
A389 = 0.645
B389 = 0.7771809304748061
A390 = 0.647
B390 = 0.7776087692739567
A391 = 0.648
B391 = 0.7778269171358023
A392 = 0.65
B392 = 0.7782716346153844
A393 = 0.652
B393 = 0.778727534822086
A394 = 0.653
B394 = 0.7789596612867534
A395 = 0.655
B395 = 0.7794322330629774
A396 = 0.657
B396 = 0.7799158520551751
A397 = 0.658
B397 = 0.780161787726444
A398 = 0.66
B398 = 0.7806618787878788
A399 = 0.662
B399 = 0.7811728865317221
A400 = 0.663
B400 = 0.7814324682356713
A401 = 0.665
B401 = 0.7819597558740603
A402 = 0.667
B402 = 0.7824978344531484
A403 = 0.668
B403 = 0.7827709050059879
A404 = 0.67
B404 = 0.783325078358209
A405 = 0.672
B405 = 0.7838899215238095
A406 = 0.673
B406 = 0.7841763295100298
A407 = 0.675
B407 = 0.7847570891203702
A408 = 0.677
B408 = 0.7853484018615213
A409 = 0.678
B409 = 0.7856480014218291
A410 = 0.68
B410 = 0.7862550588235295
A411 = 0.682
B411 = 0.7868725569560118
A412 = 0.683
B412 = 0.7871852075845536
A413 = 0.685
B413 = 0.7878182848996352
A414 = 0.687
B414 = 0.788461694672853
A415 = 0.688
B415 = 0.7887872610232558
A416 = 0.69
B416 = 0.7894460905797099
A417 = 0.692
B417 = 0.790115148300578
A418 = 0.693
B418 = 0.7904535000003609
A419 = 0.695
B419 = 0.7911378239658274
A420 = 0.697
B420 = 0.7918322756388091
A421 = 0.698
B421 = 0.7921832871117476
A422 = 0.7
B422 = 0.7928928571428571
A423 = 0.702
B423 = 0.7936124581253562
A424 = 0.703
B424 = 0.7939760084214085
A425 = 0.705
B425 = 0.7947105853280141
A426 = 0.707
B426 = 0.7954551000003535
A427 = 0.708
B427 = 0.7958310726327683
A428 = 0.71
B428 = 0.7965904260563381
A429 = 0.712
B429 = 0.7973596275056178
A430 = 0.713
B430 = 0.7977479102948809
A431 = 0.715
B431 = 0.7985318184003497
A432 = 0.717
B432 = 0.7993254881175033
A433 = 0.718
B433 = 0.7997259730417828
A434 = 0.72
B434 = 0.8005342222222223
A435 = 0.722
B435 = 0.8013521498116345
A436 = 0.723
B436 = 0.8017647328634163
A437 = 0.725
B437 = 0.8025971174568967
A438 = 0.727
B438 = 0.8034391003579777
A439 = 0.728
B439 = 0.8038636814065935
A440 = 0.73
B440 = 0.8047200034246575
A441 = 0.732
B441 = 0.8055858466448086
A442 = 0.733
B442 = 0.8060223293045702
A443 = 0.735
B443 = 0.8069023981717687
A444 = 0.737
B444 = 0.80779191403019
A445 = 0.738
B445 = 0.8082402055338752
A446 = 0.74
B446 = 0.809143837837838
A447 = 0.742
B447 = 0.8100568457196767
A448 = 0.743
B448 = 0.8105168567971063
A449 = 0.745
B449 = 0.8114438760486578
A450 = 0.747
B450 = 0.8123802021690094
A451 = 0.748
B451 = 0.8128518469304813
A452 = 0.75
B452 = 0.8138020833333334
A453 = 0.752
B453 = 0.8147615605106383
A454 = 0.753
B454 = 0.8152447563349934
A455 = 0.755
B455 = 0.8162180465645695
A456 = 0.757
B456 = 0.8172005140029723
A457 = 0.758
B457 = 0.8176951814300792
A458 = 0.76
B458 = 0.8186913684210525
A459 = 0.762
B459 = 0.8196966715013122
A460 = 0.763
B460 = 0.8202027341287679
A461 = 0.765
B461 = 0.8212216668709149
A462 = 0.767
B462 = 0.8222496569494785
A463 = 0.768
B463 = 0.8227670413333334
A464 = 0.77
B464 = 0.8238085746753246
A465 = 0.772
B465 = 0.8248591088911917
A466 = 0.773
B466 = 0.8253877444505174
A467 = 0.775
B467 = 0.8264517389112902
A468 = 0.777
B468 = 0.8275246800003216
A469 = 0.778
B469 = 0.82806449892545
A470 = 0.78
B470 = 0.8291508205128205
A471 = 0.782
B471 = 0.8302460366291562
A472 = 0.783
B472 = 0.8307969737934228
A473 = 0.785
B473 = 0.8319054938296179
A474 = 0.787
B474 = 0.8330228583738882
A475 = 0.788
B475 = 0.833584851248731
A476 = 0.79
B476 = 0.8347154462025317
A477 = 0.792
B477 = 0.8358548376565657
A478 = 0.793
B478 = 0.8364278262298236
A479 = 0.795
B479 = 0.8375803775550315
A480 = 0.797
B480 = 0.838741679322773
A481 = 0.798
B481 = 0.8393256060200502
A482 = 0.8
B482 = 0.8405000000000001
A483 = 0.802
B483 = 0.8416831002543642
A484 = 0.803
B484 = 0.842277909863325
A485 = 0.805
B485 = 0.8434740374611802
A486 = 0.807
B486 = 0.8446788289965922
A487 = 0.808
B487 = 0.8452844685940595
A488 = 0.81
B488 = 0.846502225308642
A489 = 0.812
B489 = 0.8477286053990146
A490 = 0.813
B490 = 0.8483450242807502
A491 = 0.815
B491 = 0.8495843100076689
A492 = 0.817
B492 = 0.8508321802695836
A493 = 0.818
B493 = 0.8514593298826407
A494 = 0.82
B494 = 0.8527200487804877
A495 = 0.822
B495 = 0.8539893150413626
A496 = 0.823
B496 = 0.8546271489188941
A497 = 0.825
B497 = 0.855909209280303
A498 = 0.827
B498 = 0.8571997814513302
A499 = 0.828
B499 = 0.8578482551497585
A500 = 0.83
B500 = 0.8591515692771082
A501 = 0.832
B501 = 0.8604633612307692
A502 = 0.833
B502 = 0.8611224322692077
A503 = 0.835
B503 = 0.8624469163547905
A504 = 0.837
B504 = 0.8637798458067504
A505 = 0.838
B505 = 0.8644494736085917
A506 = 0.84
B506 = 0.8657950476190477
A507 = 0.842
B507 = 0.8671490360142516
A508 = 0.843
B508 = 0.8678291818508305
A509 = 0.845
B509 = 0.8691957694156804
A510 = 0.847
B510 = 0.8705707418184769
A511 = 0.848
B511 = 0.8712613687547169
A512 = 0.85
B512 = 0.8726488970588235
A513 = 0.852
B513 = 0.8740447820469482
A514 = 0.853
B514 = 0.8747458548889214
A515 = 0.855
B515 = 0.8761542545687132
A516 = 0.857
B516 = 0.8775709841309803
A517 = 0.858
B517 = 0.8782824693752914
A518 = 0.86
B518 = 0.8797116744186045
A519 = 0.862
B519 = 0.8811491838561483
A520 = 0.863
B520 = 0.8818710496410777
A521 = 0.865
B521 = 0.8833209972904625
A522 = 0.867
B522 = 0.8847792251213954
A523 = 0.868
B523 = 0.8855114411797234
A524 = 0.87
B524 = 0.8869820718390804
A525 = 0.872
B525 = 0.8884609597064219
A526 = 0.873
B526 = 0.8892034973198739
A527 = 0.875
B527 = 0.8906947544642857
A528 = 0.877
B528 = 0.8921942470470353
A529 = 0.878
B529 = 0.8929470790022781
A530 = 0.88
B530 = 0.8944589090909091
A531 = 0.882
B531 = 0.8959789540181405
A532 = 0.883
B532 = 0.8967420545642695
A533 = 0.885
B533 = 0.8982744069562147
A534 = 0.887
B534 = 0.8998149547240699
A535 = 0.888
B535 = 0.9005882995315314
A536 = 0.89
B536 = 0.9021411264044944
A537 = 0.892
B537 = 0.9037021302959641
A538 = 0.893
B538 = 0.9044856964168534
A539 = 0.895
B539 = 0.9060589526885475
A540 = 0.897
B540 = 0.907640368695931
A541 = 0.898
B541 = 0.9084341345256125
A542 = 0.9
B542 = 0.9100277777777778
A543 = 0.902
B543 = 0.9116295645277162
A544 = 0.903
B544 = 0.9124335097677188
A545 = 0.905
B545 = 0.9140475001726519
A546 = 0.907
B546 = 0.9156696188536385
A547 = 0.908
B547 = 0.916483724475771
A548 = 0.91
B548 = 0.9181180247252748
A549 = 0.912
B549 = 0.9197604390175439
A550 = 0.913
B550 = 0.9205846872291897
A551 = 0.915
B551 = 0.9222392624658471
A552 = 0.917
B552 = 0.9239019384735553
A553 = 0.918
B553 = 0.9247363126840958
A554 = 0.92
B554 = 0.9264111304347825
A555 = 0.922
B555 = 0.9280940366203905
A556 = 0.923
B556 = 0.9289385214087217
A557 = 0.925
B557 = 0.9306335515202703
A558 = 0.927
B558 = 0.9323366586410466
A559 = 0.928
B559 = 0.933191239724138
A560 = 0.93
B560 = 0.9349064543010752
A561 = 0.932
B561 = 0.9366297353476395
A562 = 0.933
B562 = 0.9374943995501072
A563 = 0.935
B563 = 0.939229772894385
A564 = 0.937
B564 = 0.9409732030312168
A565 = 0.938
B565 = 0.9418479382558634
A566 = 0.94
B566 = 0.9436034468085106
A567 = 0.942
B567 = 0.945367003316348
A568 = 0.943
B568 = 0.9462517985156416
A569 = 0.945
B569 = 0.9480274208002646
A570 = 0.947
B570 = 0.9498110830203271
A571 = 0.948
B571 = 0.9507059281687764
A572 = 0.95
B572 = 0.952501644736842
A573 = 0.952
B573 = 0.9543053940168068
A574 = 0.953
B574 = 0.9552102800842077
A575 = 0.955
B575 = 0.9570260734620417
A576 = 0.957
B576 = 0.9588498931037094
A577 = 0.958
B577 = 0.9597648120292276
A578 = 0.96
B578 = 0.9616006666666667
A579 = 0.962
B579 = 0.9634445418752599
A580 = 0.963
B580 = 0.9643694865423157
A581 = 0.965
B581 = 0.9662253887629534
A582 = 0.967
B582 = 0.9680893065979835
A583 = 0.968
B583 = 0.9690242708099175
A584 = 0.97
B584 = 0.9709002087628867
A585 = 0.972
B585 = 0.9727841580905349
A586 = 0.973
B586 = 0.9737291365470195
A587 = 0.975
B587 = 0.9756251001602565
A588 = 0.977
B588 = 0.9775290716072159
A589 = 0.978
B589 = 0.9784840598813906
A590 = 0.98
B590 = 0.9804000408163265
A591 = 0.982
B591 = 0.9823240267250509
A592 = 0.983
B592 = 0.983289021241353
A593 = 0.985
B593 = 0.985225012848985
A594 = 0.987
B594 = 0.9871690072342957
A595 = 0.988
B595 = 0.9881440052469637
A596 = 0.99
B596 = 0.9901000025252524
A597 = 0.992
B597 = 0.9920640010322581
A598 = 0.993
B598 = 0.9930490006044813
A599 = 0.995
B599 = 0.9950250001570354
A600 = 0.997
B600 = 0.9970090000203111
A601 = 0.998
B601 = 0.9980040000040081
A602 = 1
B602 = 1
liste1: {B288, B289, B290, B291, B292, B293, B294, B295, B296, B297, B298, B299, B300, B301, B302, B303, B304, B305, B306, B307, B308, B309, B310, B311, B312, B313, B314, B315, B316, B317, B318, B319, B320, B321, B322, B323, B324, B325, B326, B327, B328, B329, B330, B331, B332, B333, B334, B335, B336, B337, B338, B339, B340, B341, B342, B343, B344, B345, B346, B347, B348, B349, B350, B351, B352, B353, B354, B355, B356, B357, B358}
m = Min(liste1)
texte10: "Pour\;x=a=" + (LaTeX[a]) + "\;\;\;\;aire(OAB)=" + (LaTeX[poly1]) + ""