FIGURE CabriII vers. MS-Windows 1.0

Window center x: 0 y: 0 Window size x: 20.6163333333333 y: 12.9751666666667

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

"C", NP: -125, -103, NS: 14, 22
3: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Val: -2.37066666666667 2.30716666666667
p: 0, Verdana, S: 17 C: 3 Fa: 0

"D", NP: 31, -109, NS: 15, 22
4: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Val: 0.465666666666667 1.98966666666667
p: 0, Verdana, S: 17 C: 3 Fa: 0

"E", NP: 105, -56, NS: 13, 22
5: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Val: 2.159 0.783166666666667
p: 0, Verdana, S: 17 C: 3 Fa: 0

"B", NP: -117, 46, NS: 14, 22
6: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Val: -1.98966666666667 -0.973666666666667
p: 0, Verdana, S: 17 C: 3 Fa: 0

"A", NP: 19, 83, NS: 14, 22
7: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
Val: 0.338666666666667 -1.778
p: 0, Verdana, S: 17 C: 3 Fa: 0

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

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

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

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

"X", NP: -49, -41, NS: 14, 22
12: Int, 0, CN:2, VN:1
dG, W, t, DS:1 1, GT:1, V, nSt
Const: 8 9
p: 0, Verdana, S: 17 C: 9 Fa: 0

13: Line, 0, CN:1, VN:2
R, W, t, DS:1 1, GT:0, V, nSt
Const: 12, Val: -0.372863528070471 0.0360463300150208

"Z", NP: 90, 1, NS: 14, 22
14: Int, 0, CN:2, VN:1
dG, W, t, DS:1 1, GT:1, V, nSt
Const: 11 13
p: 0, Verdana, S: 17 C: 9 Fa: 0

15: Line, 0, CN:2, VN:2
V, W, t, DS:1 1, GT:0, I, nSt
Const: 4 14

"Y", NP: 23, -28, NS: 12, 22
16: Int, 0, CN:2, VN:1
dG, W, t, DS:1 1, GT:1, V, nSt
Const: 10 13
p: 0, Verdana, S: 17 C: 9 Fa: 0

17: Line, 0, CN:2, VN:2
V, W, t, DS:1 1, GT:0, I, nSt
Const: 3 16

"F", NP: 122, 45, NS: 12, 22
18: Int, 0, CN:2, VN:1
O, W, t, DS:1 1, GT:1, V, nSt
Const: 15 17
p: 0, Verdana, S: 17 C: 2 Fa: 0

19: Con, 1, CN:5, VN:6
Bl, W, t, DS:1 1, GT:0, V, nSt
Const: 7 6 3 4 5

20: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 6 12

21: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 12 4

22: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 4 6

23: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 4 14

24: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 14 18

25: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 18 4

26: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 5 14

27: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 14 7

28: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 7 5

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

30: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 16 18

31: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 18 3

32: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 3 12

33: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 12 7

34: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 7 3

35: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 6 16

36: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 16 5

37: Seg, 0, CN:2, VN:0
V, W, t, DS:1 1, GT:0, V, nSt
Const: 5 6

38: Text, 0, CN:0, VN:1
R, W, BTh:2, DS:1 1, GT:0, V, nSt
Val: -134 -267 0, nA, nP, TP: -2.83633333333333, 5.6515,TS: 5.69383333333333, -4.699
"Converse of Pascal's Theorem

If the points A,B,C,D,E,F are such that the intersections of AC and BD, of AE and DF, and of BE and CF are collinear,
then the points lie on a conic.



"
p: 0, Verdana, S: 17 C: 3 Fa: 0

39: Text, 0, CN:0, VN:1
dG, W, BTh:2, DS:1 1, GT:0, V, nSt
Val: -127 111 0, nA, nP, TP: -2.68816666666667, -2.3495,TS: 5.88433333333333, -2.58233333333333
"The picture shows the conic through A,B,C,D,E.
Move the line XYZ to see that F always lies on this conic.
You can also move any of the points A,..,E."
p: 0, Verdana, S: 17 C: 9 Fa: 0