Figure CabriII vers. MacOS 1.1.8

Window center x: -0.03_ y: 3.16_

1: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, I, nSt
Val: 0 0

2: Axes, 1, CN:1, VN:3
dGr, W, t, DS:1 1, GT:0, I, nSt
Const: 1, Val: 1 0, 0 1

"O", NP: -95, 61, NS: 14, 12
3: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Val: -3.3 -1.9
p: 0, Times, S: 12 C: 6 Fa: 0

4: Line, 0, CN:1, VN:2
lGr, W, t, DS:1 1, GT:0, V, nSt
Const: 3, Val: 1 0

5: Perp, 0, CN:2, VN:2
lGr, W, t, DS:1 1, GT:0, V, nSt
Const: 3 4

"I", NP: -3, 63, NS: 10, 12
6: Pt/, 0, CN:1, VN:3
R, W, t, DS:1 1, GT:1, V, nSt
Const: 4, Val: -0.16_ -1.9
p: 0, Times, S: 12 C: 6 Fa: 0

"(x, y)", NP: -20, -71, NS: 33, 12
7: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Val: -0.9 2.46_
p: 0, Times, S: 12 C: 3 Fa: 0

8: Perp, 0, CN:2, VN:2
O, W, t, DS:5 8, GT:0, V, nSt
Const: 7 4

9: Perp, 0, CN:2, VN:2
O, W, t, DS:5 8, GT:0, V, nSt
Const: 7 5

"x", NP: -24, 57, NS: 12, 17
10: Int, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 4 8
p: 0, Times, S: 12 C: 2 Fa: 0, p: 1, Times, S: 10 C: 2 Fa: 512

"y", NP: -112, -87, NS: 12, 17
11: Int, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 5 9
p: 0, Times, S: 12 C: 2 Fa: 0, p: 1, Times, S: 10 C: 2 Fa: 512

12: Cir, 0, CN:2, VN:2
lGr, W, t, DS:1 1, GT:0, V, nSt
Const: 3 6

"J", NP: -113, -33, NS: 11, 12
13: Int, 256, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 5 12
p: 0, Times, S: 12 C: 6 Fa: 0

14: PBiss, 0, CN:2, VN:2
lBl, W, t, DS:1 1, GT:0, V, nSt
Const: 13 6

"y", NP: 22, 58, NS: 12, 17
15: Refl, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 11 14
p: 0, Times, S: 12 C: 2 Fa: 0, p: 1, Times, S: 10 C: 2 Fa: 512

"x", NP: -95, -16, NS: 12, 17
16: Refl, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 10 14
p: 0, Times, S: 12 C: 2 Fa: 0, p: 1, Times, S: 10 C: 2 Fa: 512

17: Seg, 0, CN:2, VN:2
G, W, t, DS:1 1, GT:0, V, nSt
Const: 6 11

18: Par, 0, CN:2, VN:2
G, W, t, DS:1 1, GT:0, V, nSt
Const: 15 17

"y2", NP: -116, -131, NS: 17, 17
19: Int, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 5 18
p: 0, Times, S: 12 C: 13 Fa: 0, p: 1, Times, S: 10 C: 13 Fa: 256

20: Vec, 0, CN:2, VN:2
V, W, t, DS:1 1, GT:0, V, nSt
Const: 16 3

"y' = y2 - x", NP: -113, -67, NS: 56, 17
21: Tran, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 19 20
p: 0, Times, S: 12 C: 13 Fa: 0, p: 6, Times, S: 10 C: 13 Fa: 256, p: 7, Times, S: 12 C: 13 Fa: 0

22: Vec, 0, CN:2, VN:2
V, W, t, DS:1 1, GT:0, I, nSt
Const: 3 7

23: Tran, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 6 22

24: Tran, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 21 22

25: Par, 0, CN:2, VN:2
Br, W, t, DS:5 8, GT:0, V, nSt
Const: 24 9

26: Par, 0, CN:2, VN:2
G, W, t, DS:1 1, GT:0, I, nSt
Const: 23 9

27: Par, 0, CN:2, VN:2
Br, W, t, DS:5 8, GT:0, V, nSt
Const: 23 8

28: Int, 0, CN:2, VN:1
V, W, t, DS:1 1, GT:0, V, nSt
Const: 25 27

29: Vec, 0, CN:2, VN:2
V, W, t, DS:1 1, GT:0, V, nSt
Const: 7 28

"Vecteur tangent ˆ la courbe intŽgrale en (x,y)", NP: 28, -133, NS: 122, 24
30: Mid, 0, CN:2, VN:1
V, W, t, DS:1 1, GT:0, V, nSt
Const: 28 7
p: 0, Times, S: 12 C: 5 Fa: 0

31: Text, 0, CN:0, VN:1
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Val: -179 -262 0, A, nP, TP: -5.96_, 8.73_, TS: 13.03_, -1.36_
"      Equation de Riccati y' = f(x,y) = y2 - x
Construction du champ de vecteur associŽ par l'outil trace de Cabri"
p: 0, Times, S: 18 C: 5 Fa: 1, p: 41, Times, S: 18 C: 5 Fa: 257, p: 42, Times, S: 18 C: 5 Fa: 1, p: 47, Times, S: 14 C: 5 Fa: 0

32: Text, 0, CN:0, VN:1
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Val: -301 -171 0, A, nP, TP: -10.03_, 5.7, TS: 6.16_, -2.83_
"Principe : On construit le vecteur tangent ˆ la courbe intŽgrale en (x, y). C'est le vecteur (1, y').
Pour la construction, on peut aussi utiliser la calculatrice, toutefois la construction gŽomŽtrique est compatible avec les anciennes versions 1.1.5."
p: 0, Times, S: 12 C: 5 Fa: 4, p: 8, Times, S: 12 C: 5 Fa: 0, p: 102, Times, S: 10 C: 10 Fa: 0

33: Text, 0, CN:0, VN:1
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Val: -299 -60 0, A, nP, TP: -9.96_, 2, TS: 4.53_, -2.4
"Utilisation : prendre la trace du vecteur et dŽplacer le point courant (x, y).
Une fois le champ de vecteur tracŽ, essayer de suivre la courbe intŽgrale."
p: 0, Times, S: 12 C: 9 Fa: 4, p: 11, Times, S: 12 C: 9 Fa: 0