FIGURE CabriII vers. MS-Windows 1.0 Window center x: 0.396875 y: -6.16479166666667 Window size x: 20.7433333333333 y: 12.3825 1: Pt, 0, CN:0, VN:1 Br, 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: Text, 0, CN:0, VN:1 B, W, BTh:2, DS:1 1, GT:0, V, nSt Val: -353 18 0, nA, nP, TP: -9.33979166666667, -0.47625,TS: 12.144375, -3.86291666666667 "Given a triangle ABC with the circumcentre U, the incentre I, the centroid S and the orthocentre H. a) Drag at A, B or C. What do you observe by I, U, H, S? b) Do you find special cases? c) What can you observe for the position of S? Do you know a special case of this phenomenon?" p: 0, System, S: 0 C: 15 Fa: 0 "A", NP: -181, 409, NS: 10, 18 4: Pt, 0, CN:0, VN:1 G, W, t, DS:1 1, GT:2, V, nSt Val: -4.41854166666667 -10.8479166666667 p: 0, System, S: 0 C: 8 Fa: 0 "B", NP: 229, 350, NS: 12, 18 5: Pt, 0, CN:0, VN:1 G, W, t, DS:1 1, GT:2, V, nSt Val: 5.953125 -9.15458333333333 p: 0, System, S: 0 C: 8 Fa: 0 "C", NP: 220, 169, NS: 11, 18 6: Pt, 0, CN:0, VN:1 G, W, t, DS:1 1, GT:2, V, nSt Val: 5.84729166666667 -4.86833333333333 p: 0, System, S: 0 C: 8 Fa: 0 7: Tr, 0, CN:3, VN:0 V, W, t, DS:1 1, GT:0, V, nSt Const: 4 5 6 "w", NP: 20, 329, NS: 12, 18 8: PBiss, 0, CN:1, VN:2 V, W, t, DS:1 1, GT:0, I, nSt Const: 7 p: 0, System, S: 0 C: 5 Fa: 0 9: PBiss, 1, CN:1, VN:2 V, W, t, DS:1 1, GT:0, I, nSt Const: 7 "U", NP: 14, 271, NS: 12, 18 10: Int, 0, CN:2, VN:1 Bl, W, t, DS:1 1, GT:2, V, nSt Const: 8 9 p: 0, System, S: 0 C: 6 Fa: 0 11: Mid, 2, CN:1, VN:1 V, W, t, DS:1 1, GT:2, I, nSt Const: 7 12: Mid, 1, CN:1, VN:1 V, W, t, DS:1 1, GT:2, I, nSt Const: 7 13: Seg, 0, CN:2, VN:0 V, W, t, DS:1 1, GT:0, I, nSt Const: 4 12 14: Seg, 0, CN:2, VN:0 V, W, t, DS:1 1, GT:0, I, nSt Const: 11 5 "S", NP: 91, 315, NS: 11, 18 15: Int, 0, CN:2, VN:1 dBr, W, t, DS:1 1, GT:2, V, nSt Const: 13 14 p: 0, System, S: 0 C: 11 Fa: 0 16: Perp, 0, CN:2, VN:2 V, W, t, DS:1 1, GT:0, I, nSt Const: 6 7 17: Perp, 512, CN:2, VN:2 V, W, t, DS:1 1, GT:0, I, nSt Const: 5 7 "H", NP: 259, 402, NS: 12, 18 18: Int, 0, CN:2, VN:1 Br, W, t, DS:1 1, GT:2, V, nSt Const: 16 17 p: 0, System, S: 0 C: 10 Fa: 0 19: Biss, 0, CN:3, VN:2 V, W, t, DS:1 1, GT:0, I, nSt Const: 5 4 6 20: Biss, 0, CN:3, VN:2 V, W, t, DS:1 1, GT:0, I, nSt Const: 5 6 4 "I ", NP: 162, 292, NS: 6, 34 21: Int, 0, CN:2, VN:1 R, W, t, DS:1 1, GT:2, V, nSt Const: 19 20 p: 0, System, S: 0 C: 3 Fa: 0 22: Text, 0, CN:0, VN:1 lGr, W, BTh:2, DS:1 1, GT:0, I, nSt Val: 110 453 0, nA, nP, TP: 2.91041666666667, -11.985625,TS: 7.75229166666667, -2.59291666666667 "SCHULLIZENZ Dümmlerbuch 49060 Elschenbroich/ Seebach: Dynamisch Geometrie entdecken. Klasse 7/8 © Copyright 2000: Verlag H. Stam GmbH Köln " p: 0, System, S: 0 C: 12 Fa: 0