Figure CabriII vers. MacOS 1.1.8

Used macro(s):

Droite - KB, Cette droite hyperbolique
Icon:
0000066666600000
0006600000066000
0060000000000600
0600000000000060
0600000000000036
6000000000003306
6000000000660006
6000000000660006
6000000033000006
6000003300000006
6000660000000006
0600660000000060
0633000000000060
0060000000000600
0006600000066000
0000066666600000
Help:
"Deux points et l'horizon"
Mth: 0
CN:3, ON:4, FN:3, 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
circle, CS 1, Bl, W, t, DS:1 1, GT:0, V, nSt
Const:
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 1 2
Int, Mth:1, 1, 32768, CN:2, VN:1, Const: 5 4, R, W, t, DS:1 1, GT:1, I, nSt
Int, Mth:1, 1, 33024, CN:2, VN:1, Const: 5 4, R, W, t, DS:1 1, GT:1, I, nSt
Seg, Mth:0, 1, 0, CN:2, VN:2, Const: 6 7, lBl, W, t, DS:1 1, GT:0, V, nSt

Distance - KB, no name
Icon:
0000066666600000
0006600000066000
0060000000000600
0600300000000060
0600300000000006
6033300000000006
6300303330000006
6300300000066006
6033303330066006
6000000066600006
6000066600000006
0606600000000060
0606600000000060
0060000000000600
0006600000066000
0000066666600000
Help:
"Deux points et l'horizon"
Mth: 0
CN:3, ON:10, FN:2, PO:8
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
circle, CS 1, Bl, W, t, DS:1 1, GT:0, V, nSt
Const:
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 1 2
Int, Mth:1, 0, 32768, CN:2, VN:1, Const: 5 4
Int, Mth:1, 0, 33024, CN:2, VN:1, Const: 5 4
Lgth, Mth:1, 0, 0, CN:2, VN:1, Const: 1 6
Lgth, Mth:1, 0, 0, CN:2, VN:1, Const: 1 7
Lgth, Mth:1, 0, 0, CN:2, VN:1, Const: 2 6
Lgth, Mth:1, 0, 0, CN:2, VN:1, Const: 2 7
Formula, Mth:0, 0, 1, CN:4, VN:1, Const: 8 9 10 11, formula: (a Ö b) Ö (c Ö d)
Formula, Mth:0, 1, 1, CN:1, VN:1, Const: 12, B, W, NbD:2, nFD, WU, GT:0, V, nSt, formula: abs(ln(a))
Text, Mth:0, 1, 0, CN:1, VN:1, Const: 13, B, W, BTh:1, DS:1 1, GT:0, V, nSt

Figure description:

Window center x: 1.06_ y: -2.36_

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

3: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Val: -2 -2.96_

4: Cir, 0, CN:1, VN:2
Bl, W, t, DS:1 1, GT:0, V, nSt
Const: 3, Val: 4.75593196848829

"A", NP: -116, 154, NS: 14, 12
5: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Val: -3.56_ -4.93_
p: 0, Times, S: 12 C: 6 Fa: 0

"B", NP: -31, 191, NS: 14, 12
6: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Val: -1.2 -6.53_
p: 0, Times, S: 12 C: 6 Fa: 0

7: Line, 0, CN:2, VN:2
G, W, t, DS:1 1, GT:0, I, nSt
Const: 5 6

"U", NP: -217, 77, NS: 15, 12
8: Int, 32768, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 7 4
p: 0, Times, S: 12 C: 7 Fa: 0

"V", NP: 2, 223, NS: 14, 12
9: Int, 33024, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 7 4
p: 0, Times, S: 12 C: 7 Fa: 0

10: Lgth, 0, CN:2, VN:1
B, W, NbD:5, FD, cm, GT:0, V, nSt
Const: 5 9, Val: 156 -5 127.143, nA, P
p: 0, Geneva, S: 9 C: 6 Fa: 0

11: Text, 0, CN:3, VN:3
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Const: 5 9 10, Val: 130 -5 0, nA, nP, TP: 4.33_, 0.16_, TS: 2.83_, -0.4
"AV = "#"
p: 0, Geneva, S: 9 C: 6 Fa: 0

12: Lgth, 0, CN:2, VN:1
B, W, NbD:5, FD, cm, GT:0, V, nSt
Const: 5 8, Val: 253 -5 115.358, nA, P
p: 0, Geneva, S: 9 C: 6 Fa: 0

13: Text, 0, CN:3, VN:3
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Const: 5 8 12, Val: 227 -5 0, nA, nP, TP: 7.56_, 0.16_, TS: 2.83_, -0.4
"AU = "#"
p: 0, Geneva, S: 9 C: 6 Fa: 0

14: Lgth, 0, CN:2, VN:1
B, W, NbD:5, FD, cm, GT:0, V, nSt
Const: 6 9, Val: 155 19 41.4401, nA, P
p: 0, Geneva, S: 9 C: 6 Fa: 0

15: Text, 0, CN:3, VN:3
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Const: 6 9 14, Val: 130 19 0, nA, nP, TP: 4.33_, -0.63_, TS: 2.8, -0.4
"BV = "#"
p: 0, Geneva, S: 9 C: 6 Fa: 0

16: Lgth, 0, CN:2, VN:1
B, W, NbD:5, FD, cm, GT:0, V, nSt
Const: 6 8, Val: 252 20 201.061, nA, P
p: 0, Geneva, S: 9 C: 6 Fa: 0

17: Text, 0, CN:3, VN:3
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Const: 6 8 16, Val: 227 20 0, nA, nP, TP: 7.56_, -0.66_, TS: 2.8, -0.4
"BU = "#"
p: 0, Geneva, S: 9 C: 6 Fa: 0

18: Formula, 1, CN:4, VN:1
B, W, NbD:5, nFD, WU, GT:0, V, nSt
Const: 10 14 12 16, Val: 277 51 0.476616, nA, P, TP: 9.23_, -1.7, TS: 1.5, -0.4
sqrt((a * b)/(c * d))
p: 0, Geneva, S: 9 C: 6 Fa: 0

19: Text, 0, CN:1, VN:1
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Const: 18, Val: 117 51 0, A, nP, TP: 3.9, -1.7, TS: 6.86_, -0.4
"IU/IV = sqrt((AV.BV)/(AU/BU)) =  "#"
p: 0, Geneva, S: 9 C: 6 Fa: 0

20: Lgth, 0, CN:2, VN:1
B, W, NbD:2, FD, cm, GT:0, I, nSt
Const: 5 6, Val: -70 172 85.703, nA, P
p: 0, Geneva, S: 9 C: 6 Fa: 0

21: Text, 0, CN:3, VN:3
B, W, BTh:1, DS:1 1, GT:0, I, nSt
Const: 5 6 20, Val: -71 172 0, A, nP, TP: -2.36_, -5.73_, TS: 1.4, -0.4
""#"
p: 0, Geneva, S: 9 C: 6 Fa: 0

22: Formula, 1, CN:1, VN:1
B, W, NbD:5, nFD, WU, GT:0, V, nSt
Const: 20, Val: 210 -31 1, nA, P, TP: 7, 1.03_, TS: 1.5, -0.4
a Ö a
p: 0, Geneva, S: 9 C: 6 Fa: 0

23: Text, 0, CN:1, VN:1
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Const: 22, Val: 171 -31 0, A, nP, TP: 5.7, 1.03_, TS: 2.83_, -0.4
"UnitŽ =  "#"
p: 0, Geneva, S: 9 C: 6 Fa: 0

24: Perp, 0, CN:2, VN:2
G, W, t, DS:1 1, GT:0, I, nSt
Const: 8 7

25: Cir, 0, CN:2, VN:2
Bl, W, t, DS:1 1, GT:0, I, nSt
Const: 8 5

26: Int, 256, CN:2, VN:1
R, W, t, DS:1 1, GT:1, I, nSt
Const: 24 25

27: Ray, 0, CN:2, VN:2
lGr, W, t, DS:1 1, GT:0, V, nSt
Const: 8 26

28: Mid, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, I, nSt
Const: 8 9

29: Sym, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, I, nSt
Const: 26 28

30: Ray, 0, CN:2, VN:2
lGr, W, t, DS:1 1, GT:0, V, nSt
Const: 9 29

31: Transf, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 27 22

32: Transf, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 30 18

33: Line, 0, CN:2, VN:2
Br, W, t, DS:1 1, GT:0, V, nSt
Const: 31 32

"I", NP: -64, 160, NS: 13, 15
34: Int, 0, CN:2, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Const: 7 33
p: 0, Times, S: 14 C: 4 Fa: 1

35: Text, 0, CN:0, VN:1
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Val: 99 -60 0, A, nP, TP: 3.3, 2, TS: 2.66_, -0.5
"Construction"
p: 0, Times, S: 14 C: 9 Fa: 4

36: Text, 0, CN:0, VN:1
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Val: 108 86 0, A, nP, TP: 3.6, -2.86_, TS: 7.06_, -0.5
"VŽrification (par la macro distance)"
p: 0, Times, S: 14 C: 10 Fa: 4, p: 13, Times, S: 14 C: 10 Fa: 0

Ma: Droite - KB, Const: 5 i: 0 6 i: 0 4 i: 0
38: Ma R, F No1, VN:1
R, W, t, DS:1 1, GT:1, I, nSt

39: Ma R, F No2, VN:1
R, W, t, DS:1 1, GT:1, I, nSt

40: Ma R, F No3, VN:2
lBl, W, t, DS:1 1, GT:0, V, nSt

Ma: Distance - KB, Const: 5 i: 0 34 i: 0 4 i: 0
49: Ma R, F No1, VN:1
B, W, NbD:8, nFD, WU, GT:0, V, nSt
Val: 164 117 0.838315, nA, P, TP: 5.46_, -3.9, TS: 2.1, -0.4
p: 0, Geneva, S: 9 C: 10 Fa: 0

50: Ma R, F No2, VN:1
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Val: 141 115 0, A, nP, TP: 4.7, -3.83_, TS: 3.06_, -0.5
"AI = "#"
p: 0, Geneva, S: 9 C: 10 Fa: 0, p: 5, Times, S: 14 C: 15 Fa: 0

Ma: Distance - KB, Const: 34 i: 0 6 i: 0 4 i: 0
59: Ma R, F No1, VN:1
B, W, NbD:8, nFD, WU, GT:0, V, nSt
Val: 164 138 0.838315, nA, P, TP: 5.46_, -4.6, TS: 2.1, -0.4
p: 0, Geneva, S: 9 C: 10 Fa: 0

60: Ma R, F No2, VN:1
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Val: 142 136 0, A, nP, TP: 4.73_, -4.53_, TS: 4.86_, -0.5
"IB = "#"
p: 0, Geneva, S: 9 C: 10 Fa: 0, p: 5, Times, S: 14 C: 15 Fa: 0

61: Text, 0, CN:0, VN:1
B, W, BTh:1, DS:1 1, GT:0, V, nSt
Val: -123 -106 0, A, nP, TP: -4.1, 3.53_, TS: 8.4, -0.5
"Construction du milieu hyperbolique"
p: 0, Times, S: 14 C: 5 Fa: 1