log scale 2d plot of rational
approximations of pi

A1: 3
B1: 1
A2: 13
B2: 4
A3: 16
B3: 5
A4: 19
B4: 6
A5: 22
B5: 7
A6: 179
B6: 57
A7: 201
B7: 64
A8: 223
B8: 71
A9: 245
B9: 78
A10: 267
B10: 85
A11: 289
B11: 92
A12: 311
B12: 99
A13: 333
B13: 106
A14: 355
B14: 113
A15: 52163
B15: 16604
A16: 52518
B16: 16717
A17: 52873
B17: 16830
A18: 53228
B18: 16943
A19: 53583
B19: 17056
A20: 53938
B20: 17169
A21: 86598
B21: 27565
A22: 86953
B22: 27678
A23: 87308
B23: 27791
A24: 102573
B24: 32650
A25: 102928
B25: 32763
A26: 103283
B26: 32876
A27: 103638
B27: 32989
A28: 103993
B28: 33102
A29: 104348
B29: 33215
A30: 208341
B30: 66317
A31: 312689
B31: 99532
A32: 833719
B32: 265381
A33: 1146408
B33: 364913
A34: 3126535
B34: 995207
D1: log(A1)
E1: log(B1)
D2: log(A2)
E2: log(B2)
D3: log(A3)
E3: log(B3)
D4: log(A4)
E4: log(B4)
D5: log(A5)
E5: log(B5)
D6: log(A6)
E6: log(B6)
D7: log(A7)
E7: log(B7)
D8: log(A8)
E8: log(B8)
D9: log(A9)
E9: log(B9)
D10: log(A10)
E10: log(B10)
D11: log(A11)
E11: log(B11)
D12: log(A12)
E12: log(B12)
D13: log(A13)
E13: log(B13)
D14: log(A14)
E14: log(B14)
D15: log(A15)
E15: log(B15)
D16: log(A16)
E16: log(B16)
D17: log(A17)
E17: log(B17)
D18: log(A18)
E18: log(B18)
D19: log(A19)
E19: log(B19)
D20: log(A20)
E20: log(B20)
D21: log(A21)
E21: log(B21)
D22: log(A22)
E22: log(B22)
D23: log(A23)
E23: log(B23)
D24: log(A24)
E24: log(B24)
D25: log(A25)
E25: log(B25)
D26: log(A26)
E26: log(B26)
D27: log(A27)
E27: log(B27)
D28: log(A28)
E28: log(B28)
D29: log(A29)
E29: log(B29)
D30: log(A30)
E30: log(B30)
D31: log(A31)
E31: log(B31)
D32: log(A32)
E32: log(B32)
D33: log(A33)
E33: log(B33)
D34: log(A34)
E34: log(B34)
A: (D1, E1)
B: (D2, E2)
C: (D3, E3)
D: (D4, E4)
E: (D5, E5)
F: (D6, E6)
G: (D7, E7)
H: (D8, E8)
I: (D9, E9)
J: (D10, E10)
K: (D11, E11)
L: (D12, E12)
M: (D13, E13)
N: (D14, E14)
O: (D15, E15)
P: (D16, E16)
Q: (D17, E17)
R: (D18, E18)
S: (D19, E19)
T: (D20, E20)
U: (D21, E21)
V: (D22, E22)
W: (D23, E23)
Z: (D24, E24)
A_1: (D25, E25)
B_1: (D26, E26)
C_1: (D27, E27)
D_1: (D28, E28)
E_1: (D29, E29)
F_1: (D30, E30)
G_1: (D31, E31)
H_1: (D32, E32)
I_1: (D33, E33)
J_1: (D34, E34)
l1: {A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1}
f: y = 0
eq1: x = 0
l2 = Sequence(Line[A, l1(k)], k, 1, Length[l1])
g = FitLineY(l1)
G1 = 27 (slider from -5 to 50, step 1)
H1 = 10 (slider from -5 to 20, step 1)
G2 = 271 (slider from -5 to 500, step 1)
H2 = 100 (slider from -5 to 200, step 1)
G3 = 2718 (slider from -5 to 5000, step 1)
H3 = 1000 (slider from -5 to 2000, step 1)
G4 = 27182 (slider from -5 to 50000, step 1)
H4 = 10000 (slider from -5 to 20000, step 1)
G5 = 271828 (slider from -5 to 500000, step 1)
H5 = 100000 (slider from -5 to 200000, step 1)
G6 = 2718281 (slider from -5 to 5000000, step 1)
H6 = 1000000 (slider from -5 to 2000000, step 1)
G7 = 2.7182818E7 (slider from -5 to 50000000, step 1)
H7 = 1.0E7 (slider from -5 to 20000000, step 1)
G8 = 2.71828182E8 (slider from -5 to 500000000, step 1)
H8 = 1.0E8 (slider from -5 to 200000000, step 1)
G9 = 2.718281828E9 (slider from -5 to 5000000000, step 1)
H9 = 1.0E9 (slider from -5 to 2000000000, step 1)
G10 = 2.7182818284E10 (slider from -5 to 50000000000, step 1)
H10 = 1.0E10 (slider from -5 to 20000000000, step 1)
J1: log(G1)
K1: log(H1)
J2: log(G2)
K2: log(H2)
J3: log(G3)
K3: log(H3)
J4: log(G4)
K4: log(H4)
J5: log(G5)
K5: log(H5)
J6: log(G6)
K6: log(H6)
J7: log(G7)
K7: log(H7)
J8: log(G8)
K8: log(H8)
J9: log(G9)
K9: log(H9)
J10: log(G10)
K10: log(H10)
l3: {G1, G2, G3, G4, G5, G6, G7, G8, G9, G10, H1, H2, H3, H4, H5, H6, H7, H8, H9, H10}
K_1: (J1, K1)
L_1: (J2, K2)
M_1: (J3, K3)
N_1: (J4, K4)
O_1: (J5, K5)
P_1: (J6, K6)
Q_1: (J7, K7)
R_1: (J8, K8)
S_1: (J9, K9)
T_1: (J10, K10)
l4: {K_1, L_1, M_1, N_1, O_1, P_1, Q_1, R_1, S_1, T_1}
h = FitLineY(l4)
U_1 = Intersect(g, h)
b: ℯ^(x(U_1))
c: ℯ^(y(U_1))
d: b / c
L1 = Name(b)
M1 = Name(c)