Figure Cabri II Plus vers. MS-Windows 1.2.5 Window center x: 2.95cm y: -1.16cm Window size x: 26.50cm y: 16.03cm Resolution: 38 ppc Background:planetcircle1.JPG 1: Pt, Val: 3.55263157894737 1.21052631578947 invisible, 2: Axes, Const: 1, cart, Val: 1 0 0 1 invisible, 3: Pt, Val: -6.39473684210526 3.92105263157895 invisible, 4: Pt, Val: -4.39473684210526 3.89473684210526 1x1, invisible, 5: Vec, Const: 3, 4, invisible, 6: Pt, Val: -4.10526315789474 1.47368421052632 7: Tran, Const: 6, 5, invisible, 8: Cir, Const: 6, 7, 9: Pt/, Const: 8, Val: -5.58407591780238 0.126908304181852 "A" TP: -5.52631578947368, 0.105263157894737, TS: 0.789473684210526, 0.473684210526316 p: 0, Arial, S: 12 C: 7 Fa: 0 10: Seg, Const: 6, 9, 11: Pt, Val: -9.36842105263158 4.18421052631579 12: Ray, Const: 11, Val: 0.995265465661319 0.0971938931309882 invisible, 13: Lgth, Const: 10, Val: 0 0 76.0066, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 14: Text, Const: 10, inc.elmts: 13, Val: -189 -25 0, nA, nP, invisible, "a="#" TP: -4.97368421052632, 0.657894736842105, TS: 1.94736842105263, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 15: Exp_num, Val: -38 -152 0, nA, nP, invisible, "a*rand()*10" TP: -1, 4, TS: 2.10526315789474, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 16: Exp_num_App, Const: 13, 15, Val: -22 -80 374.361, nA, nP, invisible, NbD:2, nFD, cm, TP: -0.578947368421053, 2.10526315789474, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 17: Transf, Const: 12, 16, 18: Pt, Val: -9.3421052631579 5.60526315789474 invisible, 19: Pt, Val: 10.6578947368421 5.36842105263158 invisible, 20: Seg, Const: 18, 19, invisible, 21: Lgth, Const: 20, Val: 0 0 760.053, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 22: Text, Const: 20, inc.elmts: 21, Val: -59 -209 0, nA, nP, invisible, ""#" TP: -1.55263157894737, 5.5, TS: 1.71052631578947, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 23: Transf, Const: 12, 21, 24: Lgth, Const: 17, 23, Val: 0 0 385.692, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 25: Text, Const: 17, 23, inc.elmts: 24, Val: -19 -36 0, A, nP, invisible, "b="#" TP: -0.5, 0.947368421052632, TS: 2.18421052631579, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 26: Pt/, Const: 12, Val: 14.1052631578947 6.4765625 invisible, 27: Ray, Const: 17, 26, invisible, 28: Exp_num, Val: 141 -93 0, nA, nP, invisible, "b*rand()" TP: 3.71052631578947, 2.44736842105263, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 29: Exp_num_App, Const: 24, 28, Val: 138 -55 146.228, nA, nP, invisible, NbD:2, nFD, cm, TP: 3.63157894736842, 1.44736842105263, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 30: Seg, Const: 11, 17, thick, 31: Transf, Const: 27, 29, 32: Seg, Const: 17, 31, color:R, thick, 33: Seg, Const: 31, 23, color:Bl, thick, 34: Lgth, Const: 11, 17, Val: 0 0 374.361, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 35: Text, Const: 11, 17, inc.elmts: 34, Val: -335 -160 0, nA, nP, "x="#" TP: -8.81578947368421, 4.21052631578947, TS: 1.89473684210526, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 36: Lgth, Const: 17, 31, Val: 0 0 146.228, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 37: Text, Const: 17, 31, inc.elmts: 36, Val: 0 -193 0, A, nP, "y="#" TP: 0, 5.07894736842105, TS: 1.89473684210526, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 38: Lgth, Const: 31, 23, Val: 0 0 239.464, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 39: Text, Const: 31, 23, inc.elmts: 38, Val: 89 -202 0, A, nP, "z="#" TP: 2.34210526315789, 5.31578947368421, TS: 1.89473684210526, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 40: Formula, Const: 34, 36, 38, Val: 282 204 760.053, A, P, NbD:2, nFD, cm, a + b + c TP: 7.42105263157895, -5.36842105263158, TS: 1.71052631578947, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 41: Text, inc.elmts: 40, Val: 257 -142 0, nA, nP, invisible, "Result: "#" TP: 6.76315789473684, 3.73684210526316, TS: 3.05263157894737, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 42: Exp_num, Val: -293 105 0, nA, nP, invisible, "max(x,y)" TP: -7.71052631578947, -2.76315789473684, TS: 1.5, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 43: Exp_num_App, Const: 34, 36, 42, Val: -284 136 374.361, nA, nP, invisible, NbD:2, nFD, cm, TP: -7.47368421052632, -3.57894736842105, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 44: Exp_num, Val: -287 159 0, nA, nP, invisible, "max(y,z)" TP: -7.55263157894737, -4.18421052631579, TS: 1.5, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 45: Exp_num_App, Const: 36, 38, 44, Val: -289 181 239.464, nA, nP, invisible, NbD:2, nFD, cm, TP: -7.60526315789474, -4.76315789473684, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 46: Pt, Val: -8.05263157894737 -3.81578947368421 invisible, 47: Ray, Const: 46, Val: 0.993424121889832 0.114492419170074 invisible, 48: Pt, Val: -8.13157894736842 -3.47368421052632 invisible, 49: Ray, Const: 48, Val: 0.993715444692706 0.1119357627355 invisible, 50: Transf, Const: 49, 43, invisible, 51: Transf, Const: 47, 45, invisible, 52: Lgth, Const: 48, 50, Val: 0 0 374.361, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 53: Text, Const: 48, 50, inc.elmts: 52, Val: -290 49 0, A, nP, invisible, "p="#" TP: -7.63157894736842, -1.28947368421053, TS: 1.94736842105263, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 54: Lgth, Const: 46, 51, Val: 0 0 239.464, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 55: Text, Const: 46, 51, inc.elmts: 54, Val: -294 73 0, A, nP, invisible, "q="#" TP: -7.73684210526316, -1.92105263157895, TS: 1.94736842105263, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 56: Exp_num, Val: -291 212 0, nA, nP, invisible, "max(p,q)" TP: -7.65789473684211, -5.57894736842105, TS: 1.60526315789474, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 57: Exp_num_App, Const: 52, 54, 56, Val: -318 63 374.361, nA, nP, color:R, invisible, NbD:2, nFD, cm, TP: -8.36842105263158, -1.65789473684211, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 58: Pt, Val: 11.9210526315789 -7.5 invisible, 59: Ray, Const: 58, Val: -16.6842105263158 15.0263157894737 invisible, 60: Transf, Const: 59, 57, invisible, 61: Seg, Const: 58, 60, color:Bl, thick, invisible, 62: Pt/, Const: 59, Val: -0.0681341495081286 3.29783225867618 invisible, 63: Ray, Const: 60, 62, invisible, 64: Exp_num, Val: -109 51 0, nA, nP, invisible, "min(p,q)" TP: -2.86842105263158, -1.34210526315789, TS: 1.5, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 65: Exp_num_App, Const: 52, 54, 64, Val: -158 79 239.464, nA, nP, invisible, NbD:2, nFD, cm, TP: -4.15789473684211, -2.07894736842105, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 66: Exp_num, Val: -111 61 0, nA, nP, invisible, "min(x,y)" TP: -2.92105263157895, -1.60526315789474, TS: 1.39473684210526, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 67: Exp_num, Val: -108 128 0, nA, nP, invisible, "min(y,z)" TP: -2.84210526315789, -3.36842105263158, TS: 1.39473684210526, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 68: Exp_num_App, Const: 34, 36, 66, Val: -133 84 146.228, nA, nP, invisible, NbD:2, nFD, cm, TP: -3.5, -2.21052631578947, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 69: Exp_num_App, Const: 36, 38, 67, Val: -150 155 146.228, nA, nP, invisible, NbD:2, nFD, cm, TP: -3.94736842105263, -4.07894736842105, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 70: Pt, Val: -9.10526315789474 -7.55263157894737 invisible, 71: Ray, Const: 70, Val: 0.999992000095999 0.00399996800038399 invisible, 72: Pt, Val: -9.10526315789474 -8.07894736842105 invisible, 73: Ray, Const: 72, Val: 0.999646520692239 -0.0265863436354319 invisible, 74: Transf, Const: 71, 68, invisible, 75: Transf, Const: 73, 69, invisible, 76: Lgth, Const: 70, 74, Val: 0 0 146.228, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 77: Text, Const: 70, 74, inc.elmts: 76, Val: -342 286 0, nA, nP, invisible, "m="#" TP: -9, -7.52631578947368, TS: 2.05263157894737, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 78: Lgth, Const: 72, 75, Val: 0 0 146.228, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 79: Text, Const: 72, 75, inc.elmts: 78, Val: -194 311 0, A, nP, invisible, "n="#" TP: -5.10526315789474, -8.18421052631579, TS: 1.92105263157895, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 80: Exp_num, Val: -135 193 0, nA, nP, invisible, "min(m,n)" TP: -3.55263157894737, -5.07894736842105, TS: 1.57894736842105, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 81: Exp_num_App, Const: 76, 78, 80, Val: -225 59 146.228, nA, nP, color:R, invisible, NbD:2, nFD, cm, TP: -5.92105263157895, -1.55263157894737, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 82: Pt, Val: -9 -8.6578947368421 invisible, 83: Ray, Const: 82, Val: 0.99999706864787 -0.00242130040834835 invisible, 84: Transf, Const: 83, 81, invisible, 85: Lgth, Const: 82, 84, Val: 0 0 146.228, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 86: Text, Const: 82, 84, inc.elmts: 85, Val: -190 329 0, A, nP, invisible, "o="#" TP: -5, -8.6578947368421, TS: 1.94736842105263, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 87: Pt, Val: -9.07894736842105 -7.21052631578947 invisible, 88: Ray, Const: 87, Val: 0.999986149872232 0.00526308499932754 invisible, 89: Transf, Const: 88, 57, invisible, 90: Pt, Val: -5.42105263157895 -6.86842105263158 invisible, 91: Ray, Const: 90, Val: 0.999900267084499 0.0141228851283121 invisible, 92: Transf, Const: 91, 81, invisible, 93: Lgth, Const: 90, 92, Val: 0 0 146.228, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 94: Text, Const: 90, 92, inc.elmts: 93, Val: -54 258 0, A, nP, invisible, "t="#" TP: -1.42105263157895, -6.78947368421053, TS: 1.81578947368421, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 95: Lgth, Const: 87, 89, Val: 0 0 374.361, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 96: Text, Const: 87, 89, inc.elmts: 95, Val: -288 273 0, nA, nP, invisible, "s="#" TP: -7.57894736842105, -7.18421052631579, TS: 1.92105263157895, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 97: Exp_num, Val: -33 219 0, nA, nP, invisible, "20-s-t" TP: -0.868421052631579, -5.76315789473684, TS: 1.05263157894737, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 98: Exp_num_App, Const: 93, 95, 97, Val: -134 54 239.411, nA, nP, color:R, invisible, NbD:2, nFD, cm, TP: -3.52631578947368, -1.42105263157895, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 99: Pt, Val: -9.86842105263158 -8.57894736842105 invisible, 100: Ray, Const: 99, Val: -0.0227214053532942 0.999741835544943 invisible, 101: Pt, Val: -9.57894736842105 -8.55263157894737 invisible, 102: Ray, Const: 101, Val: -0.210526315789474 10.7105263157895 invisible, 103: Pt, Val: -9.28947368421053 -8.52631578947369 invisible, 104: Ray, Const: 103, Val: -0.0526315789473684 2.31578947368421 invisible, 105: Transf, Const: 100, 57, invisible, 106: Transf, Const: 102, 98, invisible, 107: Transf, Const: 104, 81, invisible, 108: Lgth, Const: 99, 105, Val: 0 0 374.361, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 109: Text, Const: 99, 105, inc.elmts: 108, Val: -376 269 0, nA, nP, invisible, "k="#" TP: -9.89473684210526, -7.07894736842105, TS: 1.92105263157895, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 110: Lgth, Const: 101, 106, Val: 0 0 239.411, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 111: Text, Const: 101, 106, inc.elmts: 110, Val: -365 256 0, nA, nP, invisible, "l="#" TP: -9.60526315789474, -6.73684210526316, TS: 1.78947368421053, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 112: Lgth, Const: 103, 107, Val: 0 0 146.228, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 113: Text, Const: 103, 107, inc.elmts: 112, Val: -356 172 0, A, nP, invisible, "i="#" TP: -9.36842105263158, -4.52631578947368, TS: 1.81578947368421, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 114: Exp_num, Val: -52 138 0, nA, nP, invisible, "arccos((l^2+i^2-k^2)/(2*l*i))" TP: -1.36842105263158, -3.63157894736842, TS: 4.89473684210526, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 115: Exp_num_App, Const: 112, 108, 110, 114, Val: -39 163 2.64161, nA, nP, invisible, NbD:2, nFD, deg, TP: -1.02631578947368, -4.28947368421053, TS: 1.55263157894737, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 116: Exp_num, Val: -47 66 0, nA, nP, invisible, "arccos((k^2+l^2-i^2)/(2*k*l))" TP: -1.23684210526316, -1.73684210526316, TS: 5, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 117: Exp_num_App, Const: 112, 108, 110, 116, Val: -34 90 0.188371, nA, nP, invisible, NbD:2, nFD, deg, TP: -0.894736842105263, -2.36842105263158, TS: 1.31578947368421, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 118: Num, Val: -224 -228 3.14159, nA, nP, invisible, NbD:2, nFD, deg, 180.00 ° TP: -5.89473684210526, 6, TS: 1.55263157894737, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 119: Formula, Const: 118, 115, 117, Val: -29 212 0.311607, A, P, NbD:2, nFD, deg, a - b - c TP: -0.763157894736842, -5.57894736842105, TS: 1.31578947368421, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 120: Text, inc.elmts: 119, Val: -29 212 0, nA, nP, invisible, "Result: "#" TP: -0.763157894736842, -5.57894736842105, TS: 2.65789473684211, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 121: Pt/, Const: 59, Val: 3.44736842105263 0.131661962477134 invisible, 122: Pt/, Const: 61, Val: 10.4871837891852 -6.20861339273372 invisible, 123: Rot, Const: 122, 60, 119, invisible, 124: Ray, Const: 60, 123, invisible, 125: Transf, Const: 124, 98, invisible, 126: Transf, Const: 124, 112, 127: Seg, Const: 60, 126, color:B, thick, 128: Rot, Const: 125, 126, 115, invisible, 129: Ray, Const: 128, 126, invisible, 130: Tr, Const: 60, 126, 58, fill color:B, 131: Lgth, Const: 60, 126, Val: 0 0 146.228, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 132: Text, Const: 60, 126, inc.elmts: 131, Val: 204 -2 0, A, nP, ""#" TP: 5.36842105263158, 0.0526315789473684, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 133: Lgth, Const: 126, 58, Val: 0 0 239.411, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 134: Text, Const: 126, 58, inc.elmts: 133, Val: 454 118 0, A, nP, ""#" TP: 11.9473684210526, -3.10526315789474, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 135: Lgth, Const: 58, 60, Val: 0 0 374.361, A, P, NbD:2, FD, cm, p: 0, Arial, S: 12 C: 40 Fa: 0 136: Text, Const: 58, 60, inc.elmts: 135, Val: 270 181 0, A, nP, ""#" TP: 7.10526315789474, -4.76315789473684, TS: 1.47368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 137: Grid, Const: 2, cart, invisible, 138: Text, Val: -356 -110 0, nA, nP, "Drag point A to create some random cuts" TP: -9.36842105263158, 2.89473684210526, TS: 2.63157894736842, 1.89473684210526 p: 0, Arial, S: 12 C: 40 Fa: 0 139: Text, Val: -345 47 0, nA, nP, "I am still trying to figure out how to make this figure count the number of successful triangles and the total number of trials." TP: -9.07894736842105, -1.23684210526316, TS: 5.23684210526316, 2.36842105263158 p: 0, Arial, S: 12 C: 40 Fa: 0 140: Text, Val: -51 -76 0, nA, nP, opaque, "from http://www.planetqhe.com" TP: -1.34210526315789, 2, TS: 6.94736842105263, 1.21052631578947 p: 0, Arial Black, S: 12 C: 40 Fa: 1