Figure CabriII vers. MacOS 1.1.5

Used macro(s):

Trisection angle, no name
Icon:
0FFFFFFFFFFFFFF0
0FF0000FF0000FF0
0F00000FF00000F0
0F00000FF00000F0
0000000FF0000000
0000000FF0000000
0000000FF0000000
0000000FF0000000
0000000FF0000000
0000000FF0000000
0000000FF0000000
0000000FF0000000
0000000FF0000000
0000000FF0000000
0000000FF0000000
00000FFFFFF00000
Help:
"Montrer 3 points d'un angle"
Mth: 0
CN:3, ON:8, FN:4, PO:3
CT:
point, CS 0, R, W, t, DS:1 1, GT:1, V, nSt
point, CS 0, R, W, t, DS:1 1, GT:1, V, nSt
point, CS 0, R, W, t, DS:1 1, GT:1, V, nSt
Const:
AngVal, Mth:0, 0, 0, CN:3, VN:1, Const: 1 2 3
Formula, Mth:0, 0, 1, CN:1, VN:1, Const: 4, formula: a Ö 3
Rot, Mth:0, 1, 0, CN:3, VN:1, Const: 3 2 5, R, W, t, DS:1 1, GT:1, I, nSt
Line, Mth:1, 1, 0, CN:2, VN:2, Const: 2 6, G, W, t, DS:1 1, GT:0, V, nSt
Biss, Mth:0, 0, 0, CN:3, VN:2, Const: 3 2 1
Refl, Mth:0, 0, 0, CN:2, VN:1, Const: 2 8
Refl, Mth:0, 1, 0, CN:2, VN:1, Const: 6 8, R, W, t, DS:1 1, GT:1, I, nSt
Line, Mth:1, 1, 0, CN:2, VN:2, Const: 9 10, G, W, t, DS:1 1, GT:0, V, nSt

Figure description:

Window center x: 0.36_ y: -0.16_

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
Y, W, t, DS:1 1, GT:0, I, nSt
Const: 1, Val: 1 0, 0 1

"O", NP: -139, 13, NS: 18, 15
3: Pt, 0, CN:0, VN:1
dG, W, t, DS:1 1, GT:1, V, nSt
Val: -4.53_ -0.26_
p: 0, Times, S: 14 C: 9 Fa: 1

"A", NP: -79, -70, NS: 18, 15
4: Pt, 0, CN:0, VN:1
dG, W, t, DS:1 1, GT:1, V, nSt
Val: -2.83_ 2.1
p: 0, Times, S: 14 C: 9 Fa: 1

"B", NP: -46, 27, NS: 17, 15
5: Pt, 0, CN:0, VN:1
dG, W, t, DS:1 1, GT:1, V, nSt
Val: -1.63_ -0.8
p: 0, Times, S: 14 C: 9 Fa: 1

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

7: Line, 0, CN:2, VN:2
G, W, t, DS:1 1, GT:0, V, nSt
Const: 3 5

8: AngVal, 0, CN:3, VN:1
B, W, NbD:-1, FD, ¡, GT:0, I, nSt
Const: 5 3 4, Val: -2 -96 1.12976, nA, P
p: 0, Geneva, S: 9 C: 6 Fa: 0

9: Text, 0, CN:4, VN:3
B, W, BTh:1, DS:1 1, GT:0, I, nSt
Const: 5 3 4 8, Val: -3 -96 0, nA, nP, TP: -0.1, 3.2, TS: 1.13_, -0.4
""#"
p: 0, Geneva, S: 9 C: 6 Fa: 0

10: Formula, 1, CN:1, VN:1
B, W, NbD:2, nFD, ¡, GT:0, V, nSt
Const: 8, Val: 123 -138 0.376588, nA, P, TP: 4.1, 4.6, TS: 1.26_, -0.4
a Ö 3
p: 0, Geneva, S: 9 C: 6 Fa: 0

11: Text, 0, CN:1, VN:1
B, W, BTh:1, DS:1 1, GT:0, I, nSt
Const: 10, Val: 78 -138 0, A, nP, TP: 2.6, 4.6, TS: 2.8, -0.4
"RŽsultat: "#"
p: 0, Geneva, S: 9 C: 6 Fa: 0

"x", NP: -49, -10, NS: 14, 15
12: Rot, 0, CN:3, VN:1
lBl, W, t, DS:1 1, GT:1, V, nSt
Const: 5 3 10
p: 0, Times, S: 14 C: 7 Fa: 0

13: Line, 0, CN:2, VN:2
lBl, W, t, DS:1 1, GT:0, V, nSt
Const: 3 12

"y", NP: -61, -38, NS: 14, 15
14: Refl, 0, CN:2, VN:1
lBl, W, t, DS:1 1, GT:1, V, nSt
Const: 5 13
p: 0, Times, S: 14 C: 7 Fa: 0

15: Line, 0, CN:2, VN:2
lBl, W, t, DS:1 1, GT:0, V, nSt
Const: 3 14

"B'", NP: -226, -4, NS: 20, 15
16: Sym, 0, CN:2, VN:1
dG, W, t, DS:1 1, GT:1, V, nSt
Const: 5 3
p: 0, Times, S: 14 C: 9 Fa: 0

Ma: Trisection angle, Const: 16 i: 0 3 i: 0 4 i: 0
"z", NP: -135, -84, NS: 13, 15
19: Ma R, F No1, VN:1
P, W, t, DS:1 1, GT:1, V, nSt
p: 0, Times, S: 14 C: 4 Fa: 0

20: Ma R, F No2, VN:2
P, W, t, DS:1 1, GT:0, V, nSt

"t", NP: -185, -63, NS: 11, 15
23: Ma R, F No3, VN:1
P, W, t, DS:1 1, GT:1, V, nSt
p: 0, Times, S: 14 C: 4 Fa: 0

24: Ma R, F No4, VN:2
P, W, t, DS:1 1, GT:0, V, nSt

"u", NP: -209, -44, NS: 14, 15
25: Refl, 0, CN:2, VN:1
V, W, t, DS:1 1, GT:1, V, nSt
Const: 14 20
p: 0, Times, S: 14 C: 5 Fa: 0

26: Line, 0, CN:2, VN:2
V, W, t, DS:1 1, GT:0, V, nSt
Const: 3 25

"v", NP: -159, 86, NS: 14, 15
27: Refl, 0, CN:2, VN:1
V, W, t, DS:1 1, GT:1, V, nSt
Const: 12 24
p: 0, Times, S: 14 C: 5 Fa: 0

28: Line, 0, CN:2, VN:2
V, W, t, DS:1 1, GT:0, V, nSt
Const: 3 27

29: Text, 0, CN:0, VN:1
B, Y, BTh:1, DS:1 1, GT:1, V, nSt
Val: 48 -157 0, A, nP, TP: 1.6, 5.23_, TS: 8.13_, -0.5
"Les six trisectrices d'un angle OAB"
p: 0, Times, S: 14 C: 3 Fa: 1

30: Text, 0, CN:0, VN:1
B, lGr, BTh:1, DS:1 1, GT:1, V, nSt
Val: 52 -119 0, A, nP, TP: 1.73_, 3.96_, TS: 7.86_, -4.9
"Les trisectrices intŽrieures : celles de l'angle gŽomŽtrique aigu (Ox) et (Oy)

Les trisectrices modulo ¹ : celles des droites (OA) (OB). En pratique on construit celles intŽrieures du suplŽmentaire AOB' : (Oz) et (Ot).
En angles de droite, on a (Oy, Oz ) = (Ox, Ot) = ¹/3.

Celles modulo 2¹ de l'angle de vecteurs (OA, OB) : (Ou) et (Ov). En angle de droites (Oy, Ou) = (Ox, Ov ) = 2¹/3."
p: 0, Times, S: 12 C: 7 Fa: 0, p: 80, Times, S: 12 C: 4 Fa: 0, p: 275, Times, S: 12 C: 5 Fa: 0, p: 387, Times, S: 14 C: 5 Fa: 0