Type de graduations

\frac{\pi}{6}

\frac{\pi}{4}

\frac{\pi}{3}

\frac{\pi}{2}

\frac{2 \pi}{3}

\frac{3 \pi}{4}

\frac{5 \pi}{6}

\pi

\frac{7 \pi}{6}

\frac{5 \pi}{4}

\frac{4 \pi}{3}

\frac{3 \pi}{2}

\frac{5 \pi}{3}

\frac{7 \pi}{4}

\frac{11 \pi}{6}

2 \pi

\frac{13 \pi}{6}

\frac{9 \pi}{4}

\frac{7 \pi}{3}

\frac{5 \pi}{2}

\frac{8 \pi}{3}

\frac{11 \pi}{4}

\frac{17 \pi}{6}

3 \pi

\frac{19 \pi}{6}

\frac{13 \pi}{4}

\frac{10 \pi}{3}

\frac{7 \pi}{2}

\frac{11 \pi}{3}

\frac{15 \pi}{4}

\frac{23 \pi}{6}

4 \pi

\frac{- \pi}{4}

\frac{- \pi}{3}

\frac{- \pi}{2}

\frac{- 2 \pi}{3}

\frac{- 3 \pi}{4}

\frac{- 5 \pi}{6}

- \pi

\frac{- 7 \pi}{6}

\frac{- 5 \pi}{4}

\frac{- 4 \pi}{3}

\frac{- 3 \pi}{2}

\frac{- 5 \pi}{3}

\frac{- 7 \pi}{4}

\frac{- 11 \pi}{6}

- 2 \pi

\frac{- 13 \pi}{6}

\frac{- 9 \pi}{4}

\frac{- 7 \pi}{3}

\frac{- 5 \pi}{2}

\frac{- 8 \pi}{3}

\frac{- 11 \pi}{4}

\frac{- 17 \pi}{6}

- 3 \pi

\frac{- 19 \pi}{6}

\frac{- 13 \pi}{4}

\frac{- 10 \pi}{3}

\frac{- 7 \pi}{2}

\frac{- 11 \pi}{3}

\frac{- 15 \pi}{4}

\frac{- 23 \pi}{6}

- 4 \pi

\frac{- \pi}{6}

4 \pi

0

-4\pi

Enrouler la partie positive

Enrouler la partie négative

O = (0, 0)
c = Circle(O, 1)
I = (1, 0)
valeur = 1 (slider from 1 to 4, step 1)
I1 = If(valeur ≟ 4, 6, valeur + 1)
J1: 1 / I1
positifs = 0 (slider from 0 to 12.566, step 0.01)
long: (4 * I1)
N_1: (cos(positifs), sin(positifs))
N_2: (cos(positifs) - (sin(positifs) * ((4 * 3.141592653589793) - positifs)), sin(positifs) + (cos(positifs) * ((4 * 3.141592653589793) - positifs)))
d_N = Ray(N_1, N_2)
Liste1_N = Sequence((cos(positifs) - (sin(positifs) * (((long - k) * 3.141592653589793 / I1) - positifs)), sin(positifs) + (cos(positifs) * (((long - k) * 3.141592653589793 / I1) - positifs))), k, 1, long - 1)
A1 = 1
A2: A1 + 1
A3: A2 + 1
A4: A3 + 1
A5: A4 + 1
A6: A5 + 1
A7: A6 + 1
A8: A7 + 1
A9: A8 + 1
A10: A9 + 1
A11: A10 + 1
A12: A11 + 1
A13: A12 + 1
A14: A13 + 1
A15: A14 + 1
A16: A15 + 1
A17: A16 + 1
A18: A17 + 1
A19: A18 + 1
A20: A19 + 1
A21: A20 + 1
A22: A21 + 1
A23: A22 + 1
B1 = If(positifs  <  ((long - A1) * 3.141592653589793 / I$1), Element[Liste1_N, A1])
B2 = If(positifs  <  ((long - A2) * 3.141592653589793 / I$1), Element[Liste1_N, A2])
B3 = If(positifs  <  ((long - A3) * 3.141592653589793 / I$1), Element[Liste1_N, A3])
B4 = If(positifs  <  ((long - A4) * 3.141592653589793 / I$1), Element[Liste1_N, A4])
B5 = If(positifs  <  ((long - A5) * 3.141592653589793 / I$1), Element[Liste1_N, A5])
B6 = If(positifs  <  ((long - A6) * 3.141592653589793 / I$1), Element[Liste1_N, A6])
B7 = If(positifs  <  ((long - A7) * 3.141592653589793 / I$1), Element[Liste1_N, A7])
B8 = If(positifs  <  ((long - A8) * 3.141592653589793 / I$1), Element[Liste1_N, A8])
B9 = If(positifs  <  ((long - A9) * 3.141592653589793 / I$1), Element[Liste1_N, A9])
B10 = If(positifs  <  ((long - A10) * 3.141592653589793 / I$1), Element[Liste1_N, A10])
B11 = If(positifs  <  ((long - A11) * 3.141592653589793 / I$1), Element[Liste1_N, A11])
B12 = If(positifs  <  ((long - A12) * 3.141592653589793 / I$1), Element[Liste1_N, A12])
B13 = If(positifs  <  ((long - A13) * 3.141592653589793 / I$1), Element[Liste1_N, A13])
B14 = If(positifs  <  ((long - A14) * 3.141592653589793 / I$1), Element[Liste1_N, A14])
B15 = If(positifs  <  ((long - A15) * 3.141592653589793 / I$1), Element[Liste1_N, A15])
B16 = If(positifs  <  ((long - A16) * 3.141592653589793 / I$1), Element[Liste1_N, A16])
B17 = If(positifs  <  ((long - A17) * 3.141592653589793 / I$1), Element[Liste1_N, A17])
B18 = If(positifs  <  ((long - A18) * 3.141592653589793 / I$1), Element[Liste1_N, A18])
B19 = If(positifs  <  ((long - A19) * 3.141592653589793 / I$1), Element[Liste1_N, A19])
B20 = If(positifs  <  ((long - A20) * 3.141592653589793 / I$1), Element[Liste1_N, A20])
B21 = If(positifs  <  ((long - A21) * 3.141592653589793 / I$1), Element[Liste1_N, A21])
B22 = If(positifs  <  ((long - A22) * 3.141592653589793 / I$1), Element[Liste1_N, A22])
B23 = If(positifs  <  ((long - A23) * 3.141592653589793 / I$1), Element[Liste1_N, A23])
C1 = If((positifs > ((long - A1) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((long - A1) * 3.141592653589793 / I$1)), sin(((long - A1) * 3.141592653589793 / I$1))))
C2 = If((positifs > ((long - A2) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((long - A2) * 3.141592653589793 / I$1)), sin(((long - A2) * 3.141592653589793 / I$1))))
C3 = If((positifs > ((long - A3) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((long - A3) * 3.141592653589793 / I$1)), sin(((long - A3) * 3.141592653589793 / I$1))))
C4 = If((positifs > ((long - A4) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((long - A4) * 3.141592653589793 / I$1)), sin(((long - A4) * 3.141592653589793 / I$1))))
C5 = If((positifs > ((long - A5) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((long - A5) * 3.141592653589793 / I$1)), sin(((long - A5) * 3.141592653589793 / I$1))))
C6 = If((positifs > ((long - A6) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((long - A6) * 3.141592653589793 / I$1)), sin(((long - A6) * 3.141592653589793 / I$1))))
C7 = If((positifs > ((long - A7) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((long - A7) * 3.141592653589793 / I$1)), sin(((long - A7) * 3.141592653589793 / I$1))))
C8 = If((positifs > ((long - A8) * 3.141592653589793 / I$1)) ∧ (long ≥ 12), (cos(((long - A8) * 3.141592653589793 / I$1)), sin(((long - A8) * 3.141592653589793 / I$1))))
C9 = If((positifs > ((long - A9) * 3.141592653589793 / I$1)) ∧ (long ≥ 12), (cos(((long - A9) * 3.141592653589793 / I$1)), sin(((long - A9) * 3.141592653589793 / I$1))))
C10 = If((positifs > ((long - A10) * 3.141592653589793 / I$1)) ∧ (long ≥ 12), (cos(((long - A10) * 3.141592653589793 / I$1)), sin(((long - A10) * 3.141592653589793 / I$1))))
C11 = If((positifs > ((long - A11) * 3.141592653589793 / I$1)) ∧ (long ≥ 12), (cos(((long - A11) * 3.141592653589793 / I$1)), sin(((long - A11) * 3.141592653589793 / I$1))))
C12 = If((positifs > ((long - A12) * 3.141592653589793 / I$1)) ∧ (long ≥ 16), (cos(((long - A12) * 3.141592653589793 / I$1)), sin(((long - A12) * 3.141592653589793 / I$1))))
C13 = If((positifs > ((long - A13) * 3.141592653589793 / I$1)) ∧ (long ≥ 16), (cos(((long - A13) * 3.141592653589793 / I$1)), sin(((long - A13) * 3.141592653589793 / I$1))))
C14 = If((positifs > ((long - A14) * 3.141592653589793 / I$1)) ∧ (long ≥ 16), (cos(((long - A14) * 3.141592653589793 / I$1)), sin(((long - A14) * 3.141592653589793 / I$1))))
C15 = If((positifs > ((long - A15) * 3.141592653589793 / I$1)) ∧ (long ≥ 16), (cos(((long - A15) * 3.141592653589793 / I$1)), sin(((long - A15) * 3.141592653589793 / I$1))))
C16 = If((positifs > ((long - A16) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((long - A16) * 3.141592653589793 / I$1)), sin(((long - A16) * 3.141592653589793 / I$1))))
C17 = If((positifs > ((long - A17) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((long - A17) * 3.141592653589793 / I$1)), sin(((long - A17) * 3.141592653589793 / I$1))))
C18 = If((positifs > ((long - A18) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((long - A18) * 3.141592653589793 / I$1)), sin(((long - A18) * 3.141592653589793 / I$1))))
C19 = If((positifs > ((long - A19) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((long - A19) * 3.141592653589793 / I$1)), sin(((long - A19) * 3.141592653589793 / I$1))))
C20 = If((positifs > ((long - A20) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((long - A20) * 3.141592653589793 / I$1)), sin(((long - A20) * 3.141592653589793 / I$1))))
C21 = If((positifs > ((long - A21) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((long - A21) * 3.141592653589793 / I$1)), sin(((long - A21) * 3.141592653589793 / I$1))))
C22 = If((positifs > ((long - A22) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((long - A22) * 3.141592653589793 / I$1)), sin(((long - A22) * 3.141592653589793 / I$1))))
C23 = If((positifs > ((long - A23) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((long - A23) * 3.141592653589793 / I$1)), sin(((long - A23) * 3.141592653589793 / I$1))))
Liste2_N = Sequence((long - k) / I1, k, 1, long - 1)
E2: FractionText[Element[Liste2_N, A2]] + "\pi"
E3: FractionText[Element[Liste2_N, A3]] + "\pi"
E4: FractionText[Element[Liste2_N, A4]] + "\pi"
E5: FractionText[Element[Liste2_N, A5]] + "\pi"
E6: FractionText[Element[Liste2_N, A6]] + "\pi"
E7: FractionText[Element[Liste2_N, A7]] + "\pi"
E9: FractionText[Element[Liste2_N, A9]] + "\pi"
E10: FractionText[Element[Liste2_N, A10]] + "\pi"
E11: FractionText[Element[Liste2_N, A11]] + "\pi"
E12: FractionText[Element[Liste2_N, A12]] + "\pi"
E13: FractionText[Element[Liste2_N, A13]] + "\pi"
E14: FractionText[Element[Liste2_N, A14]] + "\pi"
E15: FractionText[Element[Liste2_N, A15]] + "\pi"
E16: FractionText[Element[Liste2_N, A16]] + "\pi"
E17: FractionText[Element[Liste2_N, A17]] + "\pi"
E18: FractionText[Element[Liste2_N, A18]] + "\pi"
E19: FractionText[Element[Liste2_N, A19]] + "\pi"
E20: FractionText[Element[Liste2_N, A20]] + "\pi"
E21: FractionText[Element[Liste2_N, A21]] + "\pi"
E22: FractionText[Element[Liste2_N, A22]] + "\pi"
E23: FractionText[Element[Liste2_N, A23]] + "\pi"
E8: FractionText[Element[Liste2_N, A8]] + "\pi"
E1: FractionText[Element[Liste2_N, A1]] + "\pi"
F2: (cos((3.14 * A2 / 12)), sin((3.14 * A2 / 12)))
F3: (cos((3.14 * A3 / 12)), sin((3.14 * A3 / 12)))
F4: (cos((3.14 * A4 / 12)), sin((3.14 * A4 / 12)))
F6: (cos((3.14 * A6 / 12)), sin((3.14 * A6 / 12)))
F8: (cos((3.14 * A8 / 12)), sin((3.14 * A8 / 12)))
F9: (cos((3.14 * A9 / 12)), sin((3.14 * A9 / 12)))
F10: (cos((3.14 * A10 / 12)), sin((3.14 * A10 / 12)))
F12: (cos((3.14 * A12 / 12)), sin((3.14 * A12 / 12)))
F14: (cos((3.14 * A14 / 12)), sin((3.14 * A14 / 12)))
F15: (cos((3.14 * A15 / 12)), sin((3.14 * A15 / 12)))
F16: (cos((3.14 * A16 / 12)), sin((3.14 * A16 / 12)))
F18: (cos((3.14 * A18 / 12)), sin((3.14 * A18 / 12)))
F20: (cos((3.14 * A20 / 12)), sin((3.14 * A20 / 12)))
F21: (cos((3.14 * A21 / 12)), sin((3.14 * A21 / 12)))
F22: (cos((3.14 * A22 / 12)), sin((3.14 * A22 / 12)))
D1 = Segment(O, C1)
D2 = Segment(O, C2)
D3 = Segment(O, C3)
D4 = Segment(O, C4)
D5 = Segment(O, C5)
D6 = Segment(O, C6)
D7 = Segment(O, C7)
D8 = Segment(O, C8)
D9 = Segment(O, C9)
D10 = Segment(O, C10)
D11 = Segment(O, C11)
D12 = Segment(O, C12)
D13 = Segment(O, C13)
D14 = Segment(O, C14)
D15 = Segment(O, C15)
D16 = Segment(O, C16)
D17 = Segment(O, C17)
D18 = Segment(O, C18)
D19 = Segment(O, C19)
D20 = Segment(O, C20)
D21 = Segment(O, C21)
D22 = Segment(O, C22)
D23 = Segment(O, C23)
Arc1_N = CircleArc(O, I, N_1)
c1_N = Circle(O, I)
Arc2_N = CircleArc(O, I, N_1)
i = (1, 0)
j = (0, 1)
I' = (-1, 0)
J = (0, 1)
J' = (0, -1)
a = Segment(I', O)
b = Segment(O, J')
négatifs = 0 (slider from -12.566 to 0, step 0.01)
S_1: (cos(négatifs), sin(négatifs))
S_2: (cos(négatifs) - (sin(négatifs) * (((-4) * 3.141592653589793) - négatifs)), sin(négatifs) + (cos(négatifs) * (((-4) * 3.141592653589793) - négatifs)))
d_S = Ray(S_1, S_2)
A41 = 1
A42 = 2
A43: (2 * A42) - A41
A44: (2 * A43) - A42
A45: (2 * A44) - A43
A46: (2 * A45) - A44
A47: (2 * A46) - A45
A48: (2 * A47) - A46
A49: (2 * A48) - A47
A50: (2 * A49) - A48
A51: (2 * A50) - A49
A52: (2 * A51) - A50
A53: (2 * A52) - A51
A54: (2 * A53) - A52
A55: (2 * A54) - A53
A56: (2 * A55) - A54
A57: (2 * A56) - A55
A58: (2 * A57) - A56
A59: (2 * A58) - A57
A60: (2 * A59) - A58
A61: (2 * A60) - A59
A62: (2 * A61) - A60
A63: (2 * A62) - A61
Liste1_S = Sequence((cos(négatifs) - (sin(négatifs) * (((-(long - k)) * 3.141592653589793 / I1) - négatifs)), sin(négatifs) + (cos(négatifs) * (((-(long - k)) * 3.141592653589793 / I1) - négatifs))), k, 1, long - 1)
B41 = If(négatifs > ((-(long - A41)) * 3.141592653589793 / I$1), Element[Liste1_S, A41])
B42 = If(négatifs > ((-(long - A42)) * 3.141592653589793 / I$1), Element[Liste1_S, A42])
B43 = If(négatifs > ((-(long - A43)) * 3.141592653589793 / I$1), Element[Liste1_S, A43])
B44 = If(négatifs > ((-(long - A44)) * 3.141592653589793 / I$1), Element[Liste1_S, A44])
B45 = If(négatifs > ((-(long - A45)) * 3.141592653589793 / I$1), Element[Liste1_S, A45])
B46 = If(négatifs > ((-(long - A46)) * 3.141592653589793 / I$1), Element[Liste1_S, A46])
B47 = If(négatifs > ((-(long - A47)) * 3.141592653589793 / I$1), Element[Liste1_S, A47])
B48 = If(négatifs > ((-(long - A48)) * 3.141592653589793 / I$1), Element[Liste1_S, A48])
B49 = If(négatifs > ((-(long - A49)) * 3.141592653589793 / I$1), Element[Liste1_S, A49])
B50 = If(négatifs > ((-(long - A50)) * 3.141592653589793 / I$1), Element[Liste1_S, A50])
B51 = If(négatifs > ((-(long - A51)) * 3.141592653589793 / I$1), Element[Liste1_S, A51])
B52 = If(négatifs > ((-(long - A52)) * 3.141592653589793 / I$1), Element[Liste1_S, A52])
B53 = If(négatifs > ((-(long - A53)) * 3.141592653589793 / I$1), Element[Liste1_S, A53])
B54 = If(négatifs > ((-(long - A54)) * 3.141592653589793 / I$1), Element[Liste1_S, A54])
B55 = If(négatifs > ((-(long - A55)) * 3.141592653589793 / I$1), Element[Liste1_S, A55])
B56 = If(négatifs > ((-(long - A56)) * 3.141592653589793 / I$1), Element[Liste1_S, A56])
B57 = If(négatifs > ((-(long - A57)) * 3.141592653589793 / I$1), Element[Liste1_S, A57])
B58 = If(négatifs > ((-(long - A58)) * 3.141592653589793 / I$1), Element[Liste1_S, A58])
B59 = If(négatifs > ((-(long - A59)) * 3.141592653589793 / I$1), Element[Liste1_S, A59])
B60 = If(négatifs > ((-(long - A60)) * 3.141592653589793 / I$1), Element[Liste1_S, A60])
B61 = If(négatifs > ((-(long - A61)) * 3.141592653589793 / I$1), Element[Liste1_S, A61])
B62 = If(négatifs > ((-(long - A62)) * 3.141592653589793 / I$1), Element[Liste1_S, A62])
B63 = If(négatifs > ((-(long - A63)) * 3.141592653589793 / I$1), Element[Liste1_S, A63])
C41 = If((négatifs  <  ((-(long - A41)) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((-(long - A41)) * 3.141592653589793 / I$1)), sin(((-(long - A41)) * 3.141592653589793 / I$1))))
C42 = If((négatifs  <  ((-(long - A42)) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((-(long - A42)) * 3.141592653589793 / I$1)), sin(((-(long - A42)) * 3.141592653589793 / I$1))))
C43 = If((négatifs  <  ((-(long - A43)) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((-(long - A43)) * 3.141592653589793 / I$1)), sin(((-(long - A43)) * 3.141592653589793 / I$1))))
C44 = If((négatifs  <  ((-(long - A44)) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((-(long - A44)) * 3.141592653589793 / I$1)), sin(((-(long - A44)) * 3.141592653589793 / I$1))))
C45 = If((négatifs  <  ((-(long - A45)) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((-(long - A45)) * 3.141592653589793 / I$1)), sin(((-(long - A45)) * 3.141592653589793 / I$1))))
C46 = If((négatifs  <  ((-(long - A46)) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((-(long - A46)) * 3.141592653589793 / I$1)), sin(((-(long - A46)) * 3.141592653589793 / I$1))))
C47 = If((négatifs  <  ((-(long - A47)) * 3.141592653589793 / I$1)) ∧ (long ≥ 8), (cos(((-(long - A47)) * 3.141592653589793 / I$1)), sin(((-(long - A47)) * 3.141592653589793 / I$1))))
C48 = If((négatifs  <  ((-(long - A48)) * 3.141592653589793 / I$1)) ∧ (long ≥ 12), (cos(((-(long - A48)) * 3.141592653589793 / I$1)), sin(((-(long - A48)) * 3.141592653589793 / I$1))))
C49 = If((négatifs  <  ((-(long - A49)) * 3.141592653589793 / I$1)) ∧ (long ≥ 12), (cos(((-(long - A49)) * 3.141592653589793 / I$1)), sin(((-(long - A49)) * 3.141592653589793 / I$1))))
C50 = If((négatifs  <  ((-(long - A50)) * 3.141592653589793 / I$1)) ∧ (long ≥ 12), (cos(((-(long - A50)) * 3.141592653589793 / I$1)), sin(((-(long - A50)) * 3.141592653589793 / I$1))))
C51 = If((négatifs  <  ((-(long - A51)) * 3.141592653589793 / I$1)) ∧ (long ≥ 12), (cos(((-(long - A51)) * 3.141592653589793 / I$1)), sin(((-(long - A51)) * 3.141592653589793 / I$1))))
C52 = If((négatifs  <  ((-(long - A52)) * 3.141592653589793 / I$1)) ∧ (long ≥ 16), (cos(((-(long - A52)) * 3.141592653589793 / I$1)), sin(((-(long - A52)) * 3.141592653589793 / I$1))))
C53 = If((négatifs  <  ((-(long - A53)) * 3.141592653589793 / I$1)) ∧ (long ≥ 16), (cos(((-(long - A53)) * 3.141592653589793 / I$1)), sin(((-(long - A53)) * 3.141592653589793 / I$1))))
C54 = If((négatifs  <  ((-(long - A54)) * 3.141592653589793 / I$1)) ∧ (long ≥ 16), (cos(((-(long - A54)) * 3.141592653589793 / I$1)), sin(((-(long - A54)) * 3.141592653589793 / I$1))))
C55 = If((négatifs  <  ((-(long - A55)) * 3.141592653589793 / I$1)) ∧ (long ≥ 16), (cos(((-(long - A55)) * 3.141592653589793 / I$1)), sin(((-(long - A55)) * 3.141592653589793 / I$1))))
C56 = If((négatifs  <  ((-(long - A56)) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((-(long - A56)) * 3.141592653589793 / I$1)), sin(((-(long - A56)) * 3.141592653589793 / I$1))))
C57 = If((négatifs  <  ((-(long - A57)) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((-(long - A57)) * 3.141592653589793 / I$1)), sin(((-(long - A57)) * 3.141592653589793 / I$1))))
C58 = If((négatifs  <  ((-(long - A58)) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((-(long - A58)) * 3.141592653589793 / I$1)), sin(((-(long - A58)) * 3.141592653589793 / I$1))))
C59 = If((négatifs  <  ((-(long - A59)) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((-(long - A59)) * 3.141592653589793 / I$1)), sin(((-(long - A59)) * 3.141592653589793 / I$1))))
C60 = If((négatifs  <  ((-(long - A60)) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((-(long - A60)) * 3.141592653589793 / I$1)), sin(((-(long - A60)) * 3.141592653589793 / I$1))))
C61 = If((négatifs  <  ((-(long - A61)) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((-(long - A61)) * 3.141592653589793 / I$1)), sin(((-(long - A61)) * 3.141592653589793 / I$1))))
C62 = If((négatifs  <  ((-(long - A62)) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((-(long - A62)) * 3.141592653589793 / I$1)), sin(((-(long - A62)) * 3.141592653589793 / I$1))))
C63 = If((négatifs  <  ((-(long - A63)) * 3.141592653589793 / I$1)) ∧ (long ≥ 24), (cos(((-(long - A63)) * 3.141592653589793 / I$1)), sin(((-(long - A63)) * 3.141592653589793 / I$1))))
D41 = Segment(O, C41)
D42 = Segment(O, C42)
D43 = Segment(O, C43)
D44 = Segment(O, C44)
D45 = Segment(O, C45)
D46 = Segment(O, C46)
D47 = Segment(O, C47)
D48 = Segment(O, C48)
D49 = Segment(O, C49)
D50 = Segment(O, C50)
D51 = Segment(O, C51)
D52 = Segment(O, C52)
D53 = Segment(O, C53)
D54 = Segment(O, C54)
D55 = Segment(O, C55)
D56 = Segment(O, C56)
D57 = Segment(O, C57)
D58 = Segment(O, C58)
D59 = Segment(O, C59)
D60 = Segment(O, C60)
D61 = Segment(O, C61)
D62 = Segment(O, C62)
D63 = Segment(O, C63)
Liste2_S = Sequence(((-(long - k))) / I1, k, 1, long - 1)
E41: FractionText[Element[Liste2_S, A41]] + "\pi"
E42: FractionText[Element[Liste2_S, A42]] + "\pi"
E43: FractionText[Element[Liste2_S, A43]] + "\pi"
E44: FractionText[Element[Liste2_S, A44]] + "\pi"
E45: FractionText[Element[Liste2_S, A45]] + "\pi"
E46: FractionText[Element[Liste2_S, A46]] + "\pi"
E47: FractionText[Element[Liste2_S, A47]] + "\pi"
E48: FractionText[Element[Liste2_S, A48]] + "\pi"
E49: FractionText[Element[Liste2_S, A49]] + "\pi"
E50: FractionText[Element[Liste2_S, A50]] + "\pi"
E51: FractionText[Element[Liste2_S, A51]] + "\pi"
E52: FractionText[Element[Liste2_S, A52]] + "\pi"
E53: FractionText[Element[Liste2_S, A53]] + "\pi"
E54: FractionText[Element[Liste2_S, A54]] + "\pi"
E55: FractionText[Element[Liste2_S, A55]] + "\pi"
E56: FractionText[Element[Liste2_S, A56]] + "\pi"
E57: FractionText[Element[Liste2_S, A57]] + "\pi"
E58: FractionText[Element[Liste2_S, A58]] + "\pi"
E59: FractionText[Element[Liste2_S, A59]] + "\pi"
E60: FractionText[Element[Liste2_S, A60]] + "\pi"
E61: FractionText[Element[Liste2_S, A61]] + "\pi"
E62: FractionText[Element[Liste2_S, A62]] + "\pi"
E63: FractionText[Element[Liste2_S, A63]] + "\pi"
c1_S = Circle(O, I)
Arc1_S = CircleArc(O, S_1, I)
Arc2_S = CircleArc(O, S_1, I)
K1: FractionText[J1] + " π"
pos_1 = false
neg_1 = false
pos_2: pos_1 ∧ (¬neg_1)
neg_2: (¬pos_1) ∧ neg_1

Tool: Partage d'un segment (command Partage)
Deux points pondérés
Input: A, a, B, b
Output: liste1

d: a + b
liste1 = Sequence((((i * x(A)) + ((d - i) * x(B))) / d, ((i * y(A)) + ((d - i) * y(B))) / d), i, 1, d - 1)