#FIG 3.1 Landscape Center Inches 1200 2 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 6675 3675 75 75 6675 3675 6675 3600 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 3600 6450 75 75 3600 6450 3675 6450 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 3600 7050 75 75 3600 7050 3600 6975 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 8400 4275 75 75 8400 4275 8325 4275 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 5400 7650 75 75 5400 7650 5325 7650 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 5400 7350 75 75 5400 7350 5400 7275 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 6300 7125 75 75 6300 7125 6300 7200 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 6675 6450 75 75 6675 6450 6600 6450 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 5625 8100 75 75 5625 8100 5700 8100 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 6300 6300 75 75 6300 6300 6225 6300 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 3600 6150 75 75 3600 6150 3675 6150 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 3600 4275 75 75 3600 4275 3675 4350 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 5850 5775 75 75 5850 5775 5925 5850 1 3 0 1 -1 -1 0 0 62 0.0000000 1 0.000 5625 6450 75 75 5625 6450 5700 6525 2 1 0 1 -1 -1 0 0 15 0.000 0 0 -1 1 1 2 1 1 1.00 60.00 120.00 1 1 1.00 60.00 120.00 600 8400 11400 8400 2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 0 1 2 1 1 1.00 60.00 120.00 3600 9000 3600 600 2 1 0 1 7 -1 0 0 5 0.000 0 0 -1 0 0 26 5993 8221 5973 8042 5940 7886 5893 7693 5834 7523 5762 7359 5678 7200 5583 7048 5476 6904 5359 6768 5232 6642 5096 6524 4952 6417 4800 6322 4641 6238 4477 6166 4307 6107 4134 6060 3958 6027 3779 6007 3600 6000 3600 6000 3600 6000 3600 600 6000 600 6000 8400 2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3 1200 8400 10275 5100 6000 8400 2 1 0 1 -1 7 0 0 -1 0.000 0 0 -1 1 0 2 0 0 1.00 60.00 120.00 3600 6000 3600 450 2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2 0 0 1.00 60.00 120.00 7800 1125 8250 225 2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 0 0 4 1200 8400 4800 5100 4800 5100 6000 8400 2 1 1 1 -1 -1 0 0 -1 4.000 0 0 -1 1 0 2 0 0 1.00 60.00 120.00 5100 5100 9750 5100 2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3 9525 4950 9750 5100 9525 5250 3 2 0 1 -1 -1 0 0 -1 0.000 0 1 0 7 0 0 1.00 60.00 120.00 6000 8400 6300 7200 6600 6600 7200 5700 8400 4275 9600 2900 10800 1650 0.00 0.00 6150.62 7701.07 6225.62 7401.07 6353.78 7054.61 6522.94 6732.79 6724.26 6385.88 7051.50 5897.81 7455.75 5359.31 8123.75 4597.23 8670.62 3959.33 9319.08 3206.87 9800.04 2681.48 10100.04 2368.98 0.00 0.00 3 2 0 1 -1 -1 0 0 -1 0.000 0 0 0 8 6000 8400 5925 8400 5475 7875 5400 7575 5475 6900 6000 5325 7200 2300 7800 1125 0.00 0.00 5957.96 8406.54 5939.21 8406.54 5750.28 8319.64 5551.96 8023.99 5440.58 7808.37 5404.91 7647.96 5389.22 7414.75 5441.36 7053.15 5557.22 6525.63 5870.30 5680.65 6254.25 4627.85 6893.57 2977.27 7293.17 2094.07 7443.17 1800.32 0.00 0.00 4 0 -1 0 0 0 30 0.0000000 4 390 2055 7500 975 Equilibrium\001 4 0 -1 0 0 0 30 0.0000000 4 300 1110 7800 1350 Points\001 4 0 -1 0 0 0 30 0.0000000 4 390 1605 7575 1750 (Order-3\001 4 0 -1 0 0 0 30 0.0000000 4 390 1605 7700 2125 triangles)\001 4 0 -1 0 0 0 30 0.0000000 4 300 1470 8925 3975 Order-8\001 4 0 -1 0 0 0 30 0.0000000 4 390 1470 9000 4350 triangles\001 4 0 -1 0 0 0 30 0.0000000 4 300 210 3600 8775 0\001 4 0 -1 0 0 0 30 0.0000000 4 300 210 6000 8775 1\001 4 0 -1 0 0 0 30 0.0000000 4 300 210 8400 8775 2\001 4 0 -1 0 0 0 30 0.0000000 4 300 480 1050 8775 -1\001 4 0 -1 0 0 0 30 0.0000000 4 300 210 3375 1425 3\001 4 0 -1 0 0 0 30 0.0000000 4 300 210 10800 8775 3\001 4 1 -1 0 0 0 30 0.0000000 4 300 1035 4850 1200 Acute\001 4 1 -1 0 0 0 30 0.0000000 4 390 1635 4850 1675 Triangles\001 4 0 -1 0 0 0 30 0.0000000 4 300 210 3375 6150 1\001 4 0 -1 0 0 0 30 0.0000000 4 15 270 3600 6000 -\001 4 0 -1 0 0 0 30 0.0000000 4 15 270 3600 6075 -\001 4 0 -1 0 0 0 30 0.0000000 4 300 480 3375 3750 2-\001 4 0 -1 0 0 0 30 0.0000000 4 15 270 3600 1275 -\001 4 0 -1 0 0 0 24 0.0000000 4 255 180 3750 6675 b\001 4 0 -1 0 0 0 24 0.0000000 4 255 180 3750 7200 d\001 4 0 -1 0 0 0 24 0.0000000 4 180 165 5325 6525 c\001 4 0 -1 0 0 0 24 0.0000000 4 255 180 6375 3750 b\001 4 0 -1 0 0 0 24 0.0000000 4 255 180 8550 4575 d\001 4 0 -1 0 0 0 24 0.0000000 4 180 165 5175 7800 e\001 4 0 -1 0 0 0 24 0.0000000 4 255 105 5400 8325 f\001 4 0 -1 0 0 0 24 0.0000000 4 255 180 5175 7425 g\001 4 0 -1 0 0 0 24 0.0000000 4 255 180 6450 7425 g\001 4 0 -1 0 0 0 24 0.0000000 4 255 195 6900 6675 h\001 4 0 -1 0 0 0 24 0.0000000 4 330 405 3675 600 (c)\001 4 0 -1 0 0 0 24 0.0000000 4 180 165 3750 4350 a\001 4 0 -1 0 0 0 24 0.0000000 4 330 345 10875 1875 (f)\001 4 0 -1 0 0 0 24 0.0000000 4 330 705 8550 375 (e,h)\001 4 0 -1 0 0 0 18 0.0000000 4 255 1500 300 825 a: Equilateral\001 4 0 -1 0 0 0 18 0.0000000 4 255 2430 300 1203 b-h: Similar triangles\001 4 0 -1 0 0 0 18 0.0000000 4 165 2115 300 1581 on two curves\001 4 0 -1 0 0 0 18 0.0000000 4 255 1770 300 1959 i: (p,q,r)=(2,2,3)\001 4 0 -1 0 0 0 18 0.0000000 4 255 1740 300 2337 j: (29/8, 11/8, 3)\001 4 0 -1 0 0 0 18 0.0000000 4 255 1125 300 2715 k: (5,10,9)\001 4 0 -1 0 0 0 24 0.0000000 4 255 180 5475 5850 k\001 4 0 -1 0 0 0 24 0.0000000 4 255 90 3750 6300 i\001 4 0 -1 0 0 0 24 0.0000000 4 330 90 6150 6150 j\001