y

x

x

y

x_M

y_M

raison

√y_M

∆x/∆√y

A2 = 633.02
B2 = 252.38
A3 = 624.77
B3 = 248.57
A4 = 617.94
B4 = 237.81
A5 = 609.05
B5 = 230.11
A6 = 598.35
B6 = 215.74
A7 = 590.05
B7 = 204.34
A8 = 581.63
B8 = 189.14
A9 = 574.02
B9 = 174.02
A10 = 564.56
B10 = 152.24
A11 = 557
B11 = 131.75
A12 = 549.54
B12 = 108.24
A13 = 541.82
B13 = 84.46
A14 = 485.67
B14 = 84.69
A15 = 477.81
B15 = 99.71
A16 = 469.58
B16 = 113.38
A17 = 461.95
B17 = 125.14
A18 = 453.93
B18 = 134.98
A19 = 445.91
B19 = 143.48
A20 = 437.83
B20 = 150.01
A21 = 430.09
B21 = 155.12
A22 = 421.87
B22 = 158.02
A23 = 413.6
B23 = 159.52
A24 = 405.7
B24 = 159.16
A25 = 397.67
B25 = 156.64
A26 = 389.59
B26 = 152.21
A27 = 381.73
B27 = 146.09
A28 = 373.71
B28 = 137.92
A29 = 364.62
B29 = 127.65
A30 = 357.38
B30 = 115.59
A31 = 349.28
B31 = 101.4
A32 = 341.64
B32 = 85.32
A33 = 333.86
B33 = 67.13
A34 = 325.47
B34 = 47.7
A35 = 318.31
B35 = 25.12
A36 = 310.85
B36 = 5.58
A37 = 303.58
B37 = 21.48
A38 = 295.98
B38 = 36.84
A39 = 288.4
B39 = 50.51
A40 = 282.16
B40 = 63.74
A41 = 275.2
B41 = 74.46
A42 = 268.15
B42 = 83.76
A43 = 261.04
B43 = 91.14
A44 = 253.93
B44 = 96.62
A45 = 246.93
B45 = 100.47
A46 = 239.88
B46 = 102.54
A47 = 232.77
B47 = 102.48
A48 = 225.77
B48 = 100.64
A49 = 218.92
B49 = 96.7
A50 = 211.93
B50 = 91.07
A51 = 204.64
B51 = 83.3
A52 = 197.97
B52 = 73.16
A53 = 190.19
B53 = 59.9
A54 = 183.66
B54 = 48.71
A55 = 177.23
B55 = 32.01
A56 = 170.92
B56 = 13.8
A57 = 163.76
B57 = 1.25
A58 = 155.66
B58 = 15.59
A59 = 147.41
B59 = 27.97
A60 = 139.14
B60 = 38.94
A61 = 130.59
B61 = 48.13
A62 = 122.38
B62 = 54.8
A63 = 114.79
B63 = 58.93
A64 = 107.44
B64 = 61.66
A65 = 100.7
B65 = 64.42
A66 = 67.87
B66 = 46.19
A67 = 59.44
B67 = 40.53
A68 = 51.53
B68 = 31.82
A69 = 44.6
B69 = 19.38
A70 = 37.28
B70 = 3.92
A71 = 29.76
B71 = 3.81
A72 = 22.28
B72 = 16.02
C: (A4, B4)
D: (A5, B5)
E: (A6, B6)
F: (A7, B7)
G: (A8, B8)
H: (A9, B9)
I: (A10, B10)
J: (A11, B11)
K: (A12, B12)
L: (A13, B13)
M: (A14, B14)
N: (A15, B15)
O: (A16, B16)
P: (A17, B17)
Q: (A18, B18)
R: (A19, B19)
S: (A20, B20)
T: (A21, B21)
U: (A22, B22)
V: (A23, B23)
W: (A24, B24)
Z: (A25, B25)
A_1: (A26, B26)
B_1: (A27, B27)
C_1: (A28, B28)
D_1: (A29, B29)
E_1: (A30, B30)
F_1: (A31, B31)
G_1: (A32, B32)
H_1: (A33, B33)
I_1: (A34, B34)
J_1: (A35, B35)
K_1: (A36, B36)
L_1: (A37, B37)
N_6: (A38, B38)
N_1: (A39, B39)
O_1: (A40, B40)
P_1: (A41, B41)
Q_1: (A42, B42)
R_1: (A43, B43)
S_1: (A44, B44)
T_1: (A45, B45)
U_1: (A46, B46)
V_1: (A47, B47)
W_1: (A48, B48)
Z_1: (A49, B49)
A_2: (A50, B50)
B_2: (A51, B51)
C_2: (A52, B52)
D_2: (A53, B53)
E_2: (A54, B54)
F_2: (A55, B55)
G_2: (A56, B56)
H_2: (A57, B57)
I_2: (A58, B58)
J_2: (A59, B59)
K_2: (A60, B60)
L_2: (A61, B61)
N_7: (A62, B62)
N_2: (A63, B63)
O_2: (A64, B64)
P_2: (A65, B65)
Q_2: (A66, B66)
R_2: (A67, B67)
S_2: (A68, B68)
T_2: (A69, B69)
U_2: (A70, B70)
V_2: (A71, B71)
W_2: (A72, B72)
Z_2: (A2, B2)
A_3: (A3, B3)
B_3: (A4, B4)
C_3: (A5, B5)
D_3: (A6, B6)
E_3: (A7, B7)
F_3: (A8, B8)
G_3: (A9, B9)
H_3: (A10, B10)
I_3: (A11, B11)
J_3: (A12, B12)
K_3: (A13, B13)
liste1: {Z_2, A_3, B_3, C_3, D_3, E_3, F_3, G_3, H_3, I_3, J_3, K_3}
f = Fit(liste1, {Function[1, 500, 700], Function[x, 500, 700], Function[x^(2), 500, 700]})
L_3: (A14, B14)
N_8: (A15, B15)
N_3: (A16, B16)
O_3: (A17, B17)
P_3: (A18, B18)
Q_3: (A19, B19)
R_3: (A20, B20)
S_3: (A21, B21)
T_3: (A22, B22)
U_3: (A23, B23)
V_3: (A24, B24)
W_3: (A25, B25)
Z_3: (A26, B26)
A_4: (A27, B27)
B_4: (A28, B28)
C_4: (A29, B29)
D_4: (A30, B30)
E_4: (A31, B31)
F_4: (A32, B32)
G_4: (A33, B33)
H_4: (A34, B34)
I_4: (A35, B35)
J_4: (A36, B36)
liste2: {L_3, N_8, N_3, O_3, P_3, Q_3, R_3, S_3, T_3, U_3, V_3, W_3, Z_3, A_4, B_4, C_4, D_4, E_4, F_4, G_4, H_4, I_4, J_4}
g = Fit(liste2, {Function[1, 300, 550], Function[x, 300, 550], Function[x^(2), 300, 550]})
K_4: (A37, B37)
L_4: (A38, B38)
N_9: (A39, B39)
N_4: (A40, B40)
O_4: (A41, B41)
P_4: (A42, B42)
Q_4: (A43, B43)
R_4: (A44, B44)
S_4: (A45, B45)
T_4: (A46, B46)
U_4: (A47, B47)
V_4: (A48, B48)
W_4: (A49, B49)
Z_4: (A50, B50)
A_5: (A51, B51)
B_5: (A52, B52)
C_5: (A53, B53)
D_5: (A54, B54)
E_5: (A55, B55)
F_5: (A56, B56)
G_5: (A57, B57)
liste3: {K_4, L_4, N_9, N_4, O_4, P_4, Q_4, R_4, S_4, T_4, U_4, V_4, W_4, Z_4, A_5, B_5, C_5, D_5, E_5, F_5, G_5}
h = Fit(liste3, {Function[1, 150, 310], Function[x, 150, 310], Function[x^(2), 150, 310]})
H_5: (A57, B57)
I_5: (A58, B58)
J_5: (A59, B59)
K_5: (A60, B60)
L_5: (A61, B61)
N_0: (A62, B62)
N_5: (A63, B63)
O_5: (A64, B64)
P_5: (A65, B65)
Q_5: (A66, B66)
R_5: (A67, B67)
S_5: (A68, B68)
T_5: (A69, B69)
U_5: (A70, B70)
liste4: {H_5, I_5, J_5, K_5, L_5, N_0, N_5, O_5, P_5, Q_5, R_5, S_5, T_5, U_5}
p = Fit(liste4, {Function[1, 10, 160], Function[x, 10, 160], Function[x^(2), 10, 160]})
M_1 = Max(f, 600, 700)
M_2 = Max(g, 400, 450)
M_3 = Max(h, 200, 350)
M_4 = Max(p, 50, 110)
m_1 = Intersect(f, g, 1)
C_6, m_2 = Intersect(g, h)
m_3, F_6 = Intersect(h, p)
a = Line(m_1, m_3)
C2 = 633.02
C3 = 624.77
C4 = 617.94
C5 = 609.05
C6 = 598.35
C7 = 590.05
C8 = 581.63
C9 = 574.02
C10 = 564.56
C11 = 557
C12 = 549.54
C13 = 541.82
C14 = 485.67
C15 = 477.81
C16 = 469.58
C17 = 461.95
C18 = 453.93
C19 = 445.91
C20 = 437.83
C21 = 430.09
C22 = 421.87
C23 = 413.6
C24 = 405.7
C25 = 397.67
C26 = 389.59
C27 = 381.73
C28 = 373.71
C29 = 364.62
C30 = 357.38
C31 = 349.28
C32 = 341.64
C33 = 333.86
C34 = 325.47
C35 = 318.31
C36 = 310.85
C37 = 303.58
C38 = 295.98
C39 = 288.4
C40 = 282.16
C41 = 275.2
C42 = 268.15
C43 = 261.04
C44 = 253.93
C45 = 246.93
C46 = 239.88
C47 = 232.77
C48 = 225.77
C49 = 218.92
C50 = 211.93
C51 = 204.64
C52 = 197.97
C53 = 190.19
C54 = 183.66
C55 = 177.23
C56 = 170.92
C57 = 163.76
C58 = 155.66
C59 = 147.41
C60 = 139.14
C61 = 130.59
C62 = 122.38
C63 = 114.79
C64 = 107.44
C65 = 100.7
C66 = 67.87
C67 = 59.44
C68 = 51.53
C69 = 44.6
C70 = 37.28
C71 = 29.76
C72 = 22.28
D2 = 86.07
D3 = 90.25
D4 = 101.31
D5 = 109.41
D6 = 124.26
D7 = 136.03
D8 = 151.6
D9 = 167.06
D10 = 189.27
D11 = 210.09
D12 = 233.94
D13 = 258.06
D14 = 260.34
D15 = 245.67
D16 = 232.37
D17 = 220.95
D18 = 211.46
D19 = 203.32
D20 = 197.15
D21 = 192.39
D22 = 189.85
D23 = 188.72
D24 = 189.44
D25 = 192.31
D26 = 197.11
D27 = 203.58
D28 = 212.1
D29 = 222.78
D30 = 235.16
D31 = 249.71
D32 = 266.14
D33 = 284.67
D34 = 304.48
D35 = 327.38
D36 = 347.25
D37 = 331.67
D38 = 316.65
D39 = 303.32
D40 = 290.37
D41 = 279.96
D42 = 270.98
D43 = 263.91
D44 = 258.75
D45 = 255.21
D46 = 253.46
D47 = 253.83
D48 = 255.99
D49 = 260.23
D50 = 266.17
D51 = 274.27
D52 = 284.71
D53 = 298.31
D54 = 309.8
D55 = 326.78
D56 = 345.27
D57 = 358.14
D58 = 344.17
D59 = 332.15
D60 = 321.55
D61 = 312.74
D62 = 306.44
D63 = 302.65
D64 = 300.25
D65 = 297.79
D66 = 317.48
D67 = 323.52
D68 = 332.58
D69 = 345.33
D70 = 361.12
D71 = 361.56
D72 = 349.69
E2: -D2 + a(C2)
E3: -D3 + a(C3)
E4: -D4 + a(C4)
E5: -D5 + a(C5)
E6: -D6 + a(C6)
E7: -D7 + a(C7)
E8: -D8 + a(C8)
E9: -D9 + a(C9)
E10: -D10 + a(C10)
E11: -D11 + a(C11)
E12: -D12 + a(C12)
E13: -D13 + a(C13)
E14: -D14 + a(C14)
E15: -D15 + a(C15)
E16: -D16 + a(C16)
E17: -D17 + a(C17)
E18: -D18 + a(C18)
E19: -D19 + a(C19)
E20: -D20 + a(C20)
E21: -D21 + a(C21)
E22: -D22 + a(C22)
E23: -D23 + a(C23)
E24: -D24 + a(C24)
E25: -D25 + a(C25)
E26: -D26 + a(C26)
E27: -D27 + a(C27)
E28: -D28 + a(C28)
E29: -D29 + a(C29)
E30: -D30 + a(C30)
E31: -D31 + a(C31)
E32: -D32 + a(C32)
E33: -D33 + a(C33)
E34: -D34 + a(C34)
E35: -D35 + a(C35)
E36: -D36 + a(C36)
E37: -D37 + a(C37)
E38: -D38 + a(C38)
E39: -D39 + a(C39)
E40: -D40 + a(C40)
E41: -D41 + a(C41)
E42: -D42 + a(C42)
E43: -D43 + a(C43)
E44: -D44 + a(C44)
E45: -D45 + a(C45)
E46: -D46 + a(C46)
E47: -D47 + a(C47)
E48: -D48 + a(C48)
E49: -D49 + a(C49)
E50: -D50 + a(C50)
E51: -D51 + a(C51)
E52: -D52 + a(C52)
E53: -D53 + a(C53)
E54: -D54 + a(C54)
E55: -D55 + a(C55)
E56: -D56 + a(C56)
E57: -D57 + a(C57)
E58: -D58 + a(C58)
E59: -D59 + a(C59)
E60: -D60 + a(C60)
E61: -D61 + a(C61)
E62: -D62 + a(C62)
E63: -D63 + a(C63)
E64: -D64 + a(C64)
E65: -D65 + a(C65)
E66: -D66 + a(C66)
E67: -D67 + a(C67)
E68: -D68 + a(C68)
E69: -D69 + a(C69)
E70: -D70 + a(C70)
E71: -D71 + a(C71)
E72: -D72 + a(C72)
F2 = 252.38
F3 = 248.57
F4 = 237.81
F5 = 230.11
F6 = 215.74
F7 = 204.34
F8 = 189.14
F9 = 174.02
F10 = 152.24
F11 = 131.75
F12 = 108.24
F13 = 84.46
F14 = 84.69
F15 = 99.71
F16 = 113.38
F17 = 125.14
F18 = 134.98
F19 = 143.48
F20 = 150.01
F21 = 155.12
F22 = 158.02
F23 = 159.52
F24 = 159.16
F25 = 156.64
F26 = 152.21
F27 = 146.09
F28 = 137.92
F29 = 127.65
F30 = 115.59
F31 = 101.4
F32 = 85.32
F33 = 67.13
F34 = 47.7
F35 = 25.12
F36 = 5.58
F37 = 21.48
F38 = 36.84
F39 = 50.51
F40 = 63.74
F41 = 74.46
F42 = 83.76
F43 = 91.14
F44 = 96.62
F45 = 100.47
F46 = 102.54
F47 = 102.48
F48 = 100.64
F49 = 96.7
F50 = 91.07
F51 = 83.3
F52 = 73.16
F53 = 59.9
F54 = 48.71
F55 = 32.01
F56 = 13.8
F57 = 1.25
F58 = 15.59
F59 = 27.97
F60 = 38.94
F61 = 48.13
F62 = 54.8
F63 = 58.93
F64 = 61.66
F65 = 64.42
F66 = 46.19
F67 = 40.53
F68 = 31.82
F69 = 19.38
F70 = 3.92
F71 = 3.81
F72 = 16.02
G2: x(M_1)
G3: x(M_2)
M3 = 0
G4: x(M_3)
G5: x(M_4)
J2 = 254.4
K2 = 0.63
J3 = 160.2
K3 = 0.64
J4 = 102.51
K4 = 0.62
J5 = 63.07
K5 = 0.63
J6 = 39.62
K6 = 0.63
J7 = 24.9
K7 = 0.63
J8 = 15.64
K8 = 0.63
J9 = 9.83
K9 = 0.63
J10 = 6.17
K10 = 0.63
J11 = 3.88
K11 = 0.63
J12 = 2.44
K12 = 0.63
J13 = 1.53
K13 = 0.63
J14: J13 * K13
K14 = 0.63
H2: sqrt(J2)
H3: sqrt(J3)
H4: sqrt(J4)
H5: sqrt(J5)
H6: sqrt(J6)
H7: sqrt(J7)
H8: sqrt(J8)
H9: sqrt(J9)
H10: sqrt(J10)
H11: sqrt(J11)
H12: sqrt(J12)
H13: sqrt(J13)
H14: sqrt(J14)
I2: (G3 - G2) / (H3 - H2)
I3: (G4 - G3) / (H4 - H3)
I4: (G5 - G4) / (H5 - H4)
I5 = Mean(I2:I4)
I6: I5
I7: I6
I8: I7
I9: I8
I10: I9
I11: I10
I12: I11
I13: I12
I14: I13
G6: (H6 - H5) * I6 + G5
G7: (H7 - H6) * I7 + G6
G8: (H8 - H7) * I8 + G7
G9: (H9 - H8) * I9 + G8
G10: (H10 - H9) * I10 + G9
G11: (H11 - H10) * I11 + G10
G12: (H12 - H11) * I12 + G11
G13: (H13 - H12) * I13 + G12
G14: (H14 - H13) * I14 + G13
L2: (G2, J2)
L3: (G3, J3)
L4: (G4, J4)
L5: (G5, J5)
L6: (G6, J6)
L7: (G7, J7)
L8: (G8, J8)
L9: (G9, J9)
L10: (G10, J10)
L11: (G11, J11)
L12: (G12, J12)
L13: (G13, J13)
L14: (G14, J14)
J15: J14 * K14
K15 = 0.63
H15: sqrt(J15)
I15: I14
G15: (H15 - H14) * I15 + G14
L15: (G15, J15)
J16: J15 * K15
K16 = 0.63
H16: sqrt(J16)
I16: I15
G16: (H16 - H15) * I16 + G15
L16: (G16, J16)
J17: J16 * K16
K17 = 0.63
H17: sqrt(J17)
I17: I16
G17: (H17 - H16) * I17 + G16
L17: (G17, J17)
J18: J17 * K17
K18 = 0.63
H18: sqrt(J18)
I18: I17
G18: (H18 - H17) * I18 + G17
L18: (G18, J18)
J19: J18 * K18
K19 = 0.63
H19: sqrt(J19)
I19: I18
G19: (H19 - H18) * I19 + G18
L19: (G19, J19)
J20: J19 * K19
K20 = 0.63
H20: sqrt(J20)
I20: I19
G20: (H20 - H19) * I20 + G19
L20: (G20, J20)
J21: J20 * K20
K21 = 0.63
H21: sqrt(J21)
I21: I20
G21: (H21 - H20) * I21 + G20
L21: (G21, J21)
liste5: {L2, L3, L4, L5, L6, L6, L7, L8, L9, L10, L11}
L1 = (0, 0)
A = (-1.0016743088120623, -59.63379258207209)
B = (632.3067336224673, -81.01620196074397)