FIGURE CabriII vers. MS-Windows 1.0

Used macro

polar, polar
Icon:
0000000000000000
0000000000000000
0000000000000000
0006666600000000
0060000060000333
0600000006000333
6000000000600333
6000000660600000
6000000660600000
6000000000600000
6000000000600000
0600000006000000
0060000060000000
0006666600000000
0000000000000000
0000000000000000
Help:
"To find the polar of a point P with respect to a conic C, click on P, then on C"
Mth: 0
CN:2, ON:11, FN:2, PO:10
CT:
point, CS 0, R, W, t, DS:1 1, GT:1, V, nSt
conic, CS 5, Bl, W, t, DS:1 1, GT:0, V, nSt
Const:
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 1 3
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 1 5
Int, Mth:6, 0, 0, CN:3, VN:1, Const: 9 7 5
Int, Mth:6, 0, 0, CN:3, VN:1, Const: 8 7 3
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 3 5
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 11 10
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 3 10
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 11 5
Int, Mth:0, 0, 0, CN:2, VN:1, Const: 12 13
Int, Mth:0, 1, 0, CN:2, VN:1, Const: 14 15, R, W, t, DS:1 1, GT:1, I, nSt
Line, Mth:1, 1, 0, CN:2, VN:2, Const: 16 17, V, W, t, DS:1 1, GT:0, V, nSt

pole, pole
Icon:
0000000000000000
0000000000000000
0000000000000000
0006666600000000
0060000060000333
0600000006000333
6000000000600333
6000000660600000
6000000660600000
6000000000600000
6000000000600000
0600000006000000
0060000060000000
0006666600000000
0000000000000000
0000000000000000
Help:
"To find the pole of a line L with respect to a conic C, click on L then on C"
Mth: 0
CN:2, ON:25, FN:1, PO:24
CT:
line, CS 0, V, W, t, DS:1 1, GT:0, V, nSt
conic, CS 5, Bl, W, t, DS:1 1, GT:0, V, nSt
Const:
Pt/, Mth:0, 0, 0, CN:1, VN:3, Const: 1
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 8 3
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 8 5
Int, Mth:6, 0, 0, CN:3, VN:1, Const: 10 7 5
Int, Mth:6, 0, 0, CN:3, VN:1, Const: 9 7 3
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 3 5
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 12 11
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 3 11
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 12 5
Int, Mth:0, 0, 0, CN:2, VN:1, Const: 13 14
Int, Mth:0, 0, 0, CN:2, VN:1, Const: 15 16
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 17 18
Pt/, Mth:0, 0, 0, CN:1, VN:3, Const: 1
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 20 3
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 20 5
Int, Mth:6, 0, 0, CN:3, VN:1, Const: 22 7 5
Int, Mth:6, 0, 0, CN:3, VN:1, Const: 21 7 3
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 3 5
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 24 23
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 3 23
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 24 5
Int, Mth:0, 0, 0, CN:2, VN:1, Const: 25 26
Int, Mth:0, 0, 0, CN:2, VN:1, Const: 27 28
Line, Mth:1, 0, 0, CN:2, VN:2, Const: 29 30
Int, Mth:0, 1, 0, CN:2, VN:1, Const: 31 19, R, W, t, DS:1 1, GT:1, V, nSt

Figure description:

Window center x: -0.3175 y: 0 Window size x: 20.6163333333333 y: 11.4935

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

3: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, I, nSt
Val: -2.51883333333333 0.0423333333333333

4: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, I, nSt
Val: -0.275166666666667 -1.56633333333333

5: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, I, nSt
Val: 1.397 -0.910166666666667

6: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, I, nSt
Val: 2.05316666666667 -0.465666666666667

7: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, I, nSt
Val: -3.38666666666667 -0.931333333333333

8: Con, 4294967295, CN:5, VN:6
Bl, W, t, DS:1 1, GT:0, V, nSt
Const: 3 4 5 6 7

9: Pt, 0, CN:0, VN:1
R, W, t, DS:1 1, GT:1, I, nSt
Val: 5.75733333333333 2.7305

"Polar of Q", NP: 124, -76, NS: 85, 22
10: Line, 0, CN:1, VN:2
R, W, t, DS:1 1, GT:0, V, nSt
Const: 9, Val: -1.67216666666667 -0.550333333333333
p: 0, Verdana, S: 17 C: 3 Fa: 0

Ma: pole, Const: 10 i: 0 8 i: 0
"Q ", NP: -72, -72, NS: 21, 22
35: Ma R, F No1, VN:1
R, W, t, DS:1 1, GT:1, V, nSt
p: 0, Verdana, S: 17 C: 3 Fa: 0

Ma: polar, Const: 9 i: 0 8 i: 0
45: Ma R, F No1, VN:1
R, W, t, DS:1 1, GT:1, I, nSt

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

"P", NP: -182, 21, NS: 12, 22
47: Pt/, 0, CN:1, VN:3
R, W, t, DS:1 1, GT:1, V, nSt
Const: 10, Val: -3.82611045584904 -0.423544791376481
p: 0, Verdana, S: 17 C: 3 Fa: 0

Ma: polar, Const: 47 i: 0 8 i: 0
57: Ma R, F No1, VN:1
R, W, t, DS:1 1, GT:1, I, nSt

"Polar of P", NP: 98, -204, NS: 82, 22
58: Ma R, F No2, VN:2
V, W, t, DS:1 1, GT:0, V, nSt
p: 0, Verdana, S: 17 C: 5 Fa: 0

59: Text, 0, CN:0, VN:1
R, W, BTh:2, DS:1 1, GT:0, V, nSt
Val: -251 -153 0, nA, nP, TP: -5.31283333333333, 3.2385,TS: 5.69383333333333, -2.58233333333333
"La Hire's Theorem
If P lies on the polar of Q, then
Q lies on the polar of P


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

60: Text, 0, CN:0, VN:1
Br, W, BTh:2, DS:1 1, GT:0, V, nSt
Val: -173 96 0, nA, nP, TP: -3.66183333333333, -2.032,TS: 6.0325, -3.00566666666667
"Move P along the line to see that the polar of P, always 
passes through Q.

Move the line through P to see what happens to Q when L touches the conic."
p: 0, Verdana, S: 17 C: 8 Fa: 0