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    <segment_by_two_points3>
        <id>%66</id>
        <out_subline>%67</out_subline>
        <in_points>%46 O_point</in_points>
    </segment_by_two_points3>
    <subline3>
        <id>%67</id>
        <gstate>defined</gstate>
        <value>(0,0,2.2992364039987487,1)(0,0,0,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>indian_red</curve_color1>
        <base_point_size>subline3_base_point_size</base_point_size>
        <base_curve_radius>subline3_base_curve_radius</base_curve_radius>
    </subline3>
    <segment_by_two_points3>
        <id>%68</id>
        <out_subline>%69</out_subline>
        <in_points>O_point %70</in_points>
    </segment_by_two_points3>
    <subline3>
        <id>%69</id>
        <gstate>defined</gstate>
        <value>(0,0,0,1)(0,0,8.8653483081100433,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>indian_red</curve_color1>
        <base_point_size>subline3_base_point_size</base_point_size>
        <base_curve_radius>subline3_base_curve_radius</base_curve_radius>
    </subline3>
    <point3>
        <id>%70</id>
        <gstate>defined</gstate>
        <value>(0,0,8.8653483081100433,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_on_line3>
        <id>%71</id>
        <position>(0.97548478557764351,0.22006688325720211)</position>
        <out_point>%70</out_point>
        <in_line>%43</in_line>
    </free_point_on_line3>
    <circle_by_axis_and_point3>
        <id>%74</id>
        <out_conic>%75</out_conic>
        <in_point>%76</in_point>
        <in_line>%69</in_line>
    </circle_by_axis_and_point3>
    <conic3>
        <id>%75</id>
        <gstate>defined</gstate>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>orange</curve_color1>
        <base_curve_radius>conic3_base_curve_radius</base_curve_radius>
    </conic3>
    <point3>
        <id>%76</id>
        <gstate>defined</gstate>
        <value>(1.0430456020067367,0,0,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_on_line3>
        <id>%77</id>
        <position>(0.43161430598004308,0.90205825248337812)</position>
        <out_point>%76</out_point>
        <in_line>%15</in_line>
    </free_point_on_line3>
    <line3>
        <id>%80</id>
        <state>no_display</state>
        <value>(0,-1,0,0,0,0)</value>
        <graphic_layers>default_layer</graphic_layers>
    </line3>
    <line_of_vector3>
        <id>%81</id>
        <state>no_display</state>
        <out_line>%80</out_line>
        <in_vector>J_vector</in_vector>
    </line_of_vector3>
    <point3>
        <id>%82</id>
        <state>no_display</state>
        <value>(2,0,0,1)</value>
        <graphic_layers>default_layer</graphic_layers>
    </point3>
    <vertex_of_vector3>
        <id>%83</id>
        <state>no_display</state>
        <position>(1)</position>
        <out_point>%82</out_point>
        <in_vector>I_vector</in_vector>
    </vertex_of_vector3>
    <object_image_by_axis_and_points_rotation3>
        <id>%84</id>
        <in_points>%82 %86</in_points>
        <in_axis>%80</in_axis>
        <out_object>%85</out_object>
        <in_object>%76</in_object>
    </object_image_by_axis_and_points_rotation3>
    <point3>
        <id>%85</id>
        <gstate>defined</gstate>
        <value>(0,0,1.0430456020067367,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <point3>
        <id>%86</id>
        <state>no_display</state>
        <value>(0,0,2,1)</value>
        <graphic_layers>default_layer</graphic_layers>
    </point3>
    <vertex_of_vector3>
        <id>%87</id>
        <state>no_display</state>
        <position>(1)</position>
        <out_point>%86</out_point>
        <in_vector>K_vector</in_vector>
    </vertex_of_vector3>
    <vector_by_two_points3>
        <id>%88</id>
        <out_vector>%89</out_vector>
        <in_origin>%85</in_origin>
        <in_end>O_point</in_end>
    </vector_by_two_points3>
    <vector3>
        <id>%89</id>
        <gstate>defined</gstate>
        <origin>(0,0,1.0430456020067367,1)</origin>
        <value>(0,0,-1.0430456020067367)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>very_small_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>small_curve_radius</curve_radius>
        <curve_color1>green_yellow</curve_color1>
        <base_point_size>vector3_base_point_size</base_point_size>
        <base_curve_radius>vector3_base_curve_radius</base_curve_radius>
    </vector3>
    <segment_by_two_points3>
        <id>%90</id>
        <out_subline>%91</out_subline>
        <in_points>%70 %92</in_points>
    </segment_by_two_points3>
    <subline3>
        <id>%91</id>
        <gstate>defined</gstate>
        <value>(0,0,8.8653483081100433,1)(0,0,3.485764750965346,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>indian_red</curve_color1>
        <base_point_size>subline3_base_point_size</base_point_size>
        <base_curve_radius>subline3_base_curve_radius</base_curve_radius>
    </subline3>
    <point3>
        <id>%92</id>
        <gstate>defined</gstate>
        <value>(0,0,3.485764750965346,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_on_line3>
        <id>%93</id>
        <position>(0.36592057139676165,0.93064608494779988)</position>
        <out_point>%92</out_point>
        <in_line>%69</in_line>
    </free_point_on_line3>
    <point3>
        <id>%94</id>
        <gstate>defined</gstate>
        <value>(0,0,6.2753837316002645,1)</value>
        <point_style>cube_point_style</point_style>
        <point_size>very_large_point_size</point_size>
        <point_color>maroon</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
        <animation_data>
            <id>%1</id>
            <state>animated</state>
            <speed>3.25000000</speed>
            <speed_unit>cm/s</speed_unit>
            <reverse>no</reverse>
        </animation_data>
    </point3>
    <free_point_on_line3>
        <id>%95</id>
        <position>(0.43378770659899807,0.90101510842137467)</position>
        <out_point>%94</out_point>
        <in_line>%91</in_line>
    </free_point_on_line3>
    <object_image_by_translation3>
        <id>%96</id>
        <in_vector>%49</in_vector>
        <out_object>%97</out_object>
        <in_object>%94</in_object>
    </object_image_by_translation3>
    <point3>
        <id>%97</id>
        <gstate>defined</gstate>
        <value>(0,0,8.5746201355990124,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <object_image_by_translation3>
        <id>%98</id>
        <in_vector>%89</in_vector>
        <out_object>%99</out_object>
        <in_object>%94</in_object>
    </object_image_by_translation3>
    <point3>
        <id>%99</id>
        <gstate>defined</gstate>
        <value>(0,0,5.2323381295935274,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>yellow</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <vector_by_two_points3>
        <id>%100</id>
        <out_vector>%101</out_vector>
        <in_origin>O_point</in_origin>
        <in_end>%99</in_end>
    </vector_by_two_points3>
    <vector3>
        <id>%101</id>
        <gstate>defined</gstate>
        <origin>(0,0,0,1)</origin>
        <value>(0,0,5.2323381295935274)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>very_small_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>small_curve_radius</curve_radius>
        <curve_color1>green_yellow</curve_color1>
        <base_point_size>vector3_base_point_size</base_point_size>
        <base_curve_radius>vector3_base_curve_radius</base_curve_radius>
    </vector3>
    <object_image_by_translation3>
        <id>%102</id>
        <in_vector>%101</in_vector>
        <out_object>%103</out_object>
        <in_object>%75</in_object>
    </object_image_by_translation3>
    <conic3>
        <id>%103</id>
        <gstate>defined</gstate>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>orange</curve_color1>
        <base_curve_radius>conic3_base_curve_radius</base_curve_radius>
    </conic3>
    <sphere_by_center_and_point3>
        <id>%104</id>
        <out_quadric>%105</out_quadric>
        <in_point>%106</in_point>
        <in_center>%99</in_center>
    </sphere_by_center_and_point3>
    <quadric3>
        <id>%105</id>
        <gstate>defined</gstate>
        <surface_thickness>very_large_surface_thickness</surface_thickness>
        <surface_style>solid_surface_style</surface_style>
        <surface_color1>yellow</surface_color1>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>small_curve_radius</curve_radius>
        <curve_color1>dim_gray</curve_color1>
        <base_surface_thickness>quadric3_base_surface_thickness</base_surface_thickness>
        <base_curve_radius>quadric3_base_curve_radius</base_curve_radius>
    </quadric3>
    <point3>
        <id>%106</id>
        <gstate>defined</gstate>
        <value>(1.0392526962734399,0.088870474028109783,5.2323381295935265,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_on_conic3>
        <id>%107</id>
        <position>(0,-0.081864178558193612)</position>
        <out_point>%106</out_point>
        <in_conic>%103</in_conic>
    </free_point_on_conic3>
    <point3>
        <id>%112</id>
        <gstate>defined</gstate>
        <value>(0.34494085555492871,0.87518373481397882,5.682908173373276,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_on_quadric3>
        <id>%113</id>
        <position>(2,0.51482908771781255,0.3941353590492015)</position>
        <out_point>%112</out_point>
        <in_quadric>%105</in_quadric>
    </free_point_on_quadric3>
    <point3>
        <id>%114</id>
        <gstate>defined</gstate>
        <value>(0,0,5.4719331036036412,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_on_line3>
        <id>%115</id>
        <position>(0.53351901215112241,0.84578807255321986)</position>
        <out_point>%114</out_point>
        <in_line>%91</in_line>
    </free_point_on_line3>
    <point3>
        <id>%116</id>
        <gstate>defined</gstate>
        <value>(-0.33285494250624387,0.87496319117927557,5.6923284873143585,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_on_quadric3>
        <id>%117</id>
        <position>(2,0.52572538177389694,-0.38042165186128796)</position>
        <out_point>%116</out_point>
        <in_quadric>%105</in_quadric>
    </free_point_on_quadric3>
    <point3>
        <id>%118</id>
        <gstate>defined</gstate>
        <value>(-0.34535986548658793,0.91572908011112009,4.8716291845761877,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_on_quadric3>
        <id>%119</id>
        <position>(2,-0.39390356039973157,-0.37714196587999577)</position>
        <out_point>%118</out_point>
        <in_quadric>%105</in_quadric>
    </free_point_on_quadric3>
    <object_image_by_point_reflection3>
        <id>%120</id>
        <in_center>%99</in_center>
        <out_object>%121</out_object>
        <in_object>%94</in_object>
    </object_image_by_point_reflection3>
    <point3>
        <id>%121</id>
        <gstate>defined</gstate>
        <value>(0,0,4.1892925275867912,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <object_image_by_point_reflection3>
        <id>%122</id>
        <in_center>%121</in_center>
        <out_object>%123</out_object>
        <in_object>%99</in_object>
    </object_image_by_point_reflection3>
    <point3>
        <id>%123</id>
        <gstate>defined</gstate>
        <value>(0,0,3.1462469255800545,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <plane_perpendicular_to_line_by_point3>
        <id>%124</id>
        <out_plane>%125</out_plane>
        <in_point>%123</in_point>
        <in_line>%126</in_line>
    </plane_perpendicular_to_line_by_point3>
    <plane3>
        <id>%125</id>
        <gstate>defined</gstate>
        <value>(0,-5.5511151231257827e-17,0.30290697189214955,-0.9530201290524396)</value>
        <surface_thickness>normal_surface_thickness</surface_thickness>
        <surface_style>large_hole_surface_style</surface_style>
        <surface_color1>yellow</surface_color1>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>small_curve_radius</curve_radius>
        <curve_color1>dim_gray</curve_color1>
        <base_surface_thickness>plane3_base_surface_thickness</base_surface_thickness>
        <base_curve_radius>plane3_base_curve_radius</base_curve_radius>
    </plane3>
    <line3>
        <id>%126</id>
        <state>no_display</state>
        <value>(0,0,-1,0,0,0)</value>
        <graphic_layers>default_layer</graphic_layers>
    </line3>
    <line_of_vector3>
        <id>%127</id>
        <state>no_display</state>
        <out_line>%126</out_line>
        <in_vector>%101</in_vector>
    </line_of_vector3>
    <label_of_point3>
        <id>%128</id>
        <out_label>%129</out_label>
        <in_object>%123</in_object>
    </label_of_point3>
    <glabel>
        <id>%129</id>
        <gstate>defined</gstate>
        <font_style>italic</font_style>
        <font_point>14</font_point>
        <font_family>Helvetica</font_family>
        <y>-0.993</y>
        <x>0.116</x>
        <value>perp point</value>
        <label_color>black</label_color>
        <graphic_layers>hidden_layer</graphic_layers>
    </glabel>
    <point_by_line_and_plane3>
        <id>%130</id>
        <out_point>%131</out_point>
        <in_plane>%125</in_plane>
        <in_line>%67</in_line>
    </point_by_line_and_plane3>
    <point3>
        <id>%131</id>
        <gstate>defined</gstate>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <triangle_by_three_points3>
        <id>%132</id>
        <out_subplane>%133</out_subplane>
        <in_points>%55 %131 %53</in_points>
    </triangle_by_three_points3>
    <subplane3>
        <id>%133</id>
        <gstate>defined</gstate>
        <surface_thickness>normal_surface_thickness</surface_thickness>
        <surface_style>small_hole_surface_style</surface_style>
        <surface_color1>dodger_blue</surface_color1>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>dodger_blue</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>small_curve_radius</curve_radius>
        <curve_color1>dodger_blue</curve_color1>
        <base_surface_thickness>subplane3_base_surface_thickness</base_surface_thickness>
        <base_point_size>subplane3_base_point_size</base_point_size>
        <base_curve_radius>subplane3_base_curve_radius</base_curve_radius>
    </subplane3>
    <triangle_by_three_points3>
        <id>%134</id>
        <out_subplane>%135</out_subplane>
        <in_points>%55 %57 %131</in_points>
    </triangle_by_three_points3>
    <subplane3>
        <id>%135</id>
        <gstate>defined</gstate>
        <surface_thickness>normal_surface_thickness</surface_thickness>
        <surface_style>small_hole_surface_style</surface_style>
        <surface_color1>dodger_blue</surface_color1>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>dodger_blue</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>small_curve_radius</curve_radius>
        <curve_color1>dodger_blue</curve_color1>
        <base_surface_thickness>subplane3_base_surface_thickness</base_surface_thickness>
        <base_point_size>subplane3_base_point_size</base_point_size>
        <base_curve_radius>subplane3_base_curve_radius</base_curve_radius>
    </subplane3>
    <triangle_by_three_points3>
        <id>%136</id>
        <out_subplane>%137</out_subplane>
        <in_points>%57 %131 %51</in_points>
    </triangle_by_three_points3>
    <subplane3>
        <id>%137</id>
        <gstate>defined</gstate>
        <surface_thickness>normal_surface_thickness</surface_thickness>
        <surface_style>small_hole_surface_style</surface_style>
        <surface_color1>dodger_blue</surface_color1>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>dodger_blue</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>small_curve_radius</curve_radius>
        <curve_color1>dodger_blue</curve_color1>
        <base_surface_thickness>subplane3_base_surface_thickness</base_surface_thickness>
        <base_point_size>subplane3_base_point_size</base_point_size>
        <base_curve_radius>subplane3_base_curve_radius</base_curve_radius>
    </subplane3>
    <triangle_by_three_points3>
        <id>%138</id>
        <out_subplane>%139</out_subplane>
        <in_points>%51 %131 %53</in_points>
    </triangle_by_three_points3>
    <subplane3>
        <id>%139</id>
        <gstate>defined</gstate>
        <surface_thickness>normal_surface_thickness</surface_thickness>
        <surface_style>small_hole_surface_style</surface_style>
        <surface_color1>dodger_blue</surface_color1>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>dodger_blue</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>small_curve_radius</curve_radius>
        <curve_color1>dodger_blue</curve_color1>
        <base_surface_thickness>subplane3_base_surface_thickness</base_surface_thickness>
        <base_point_size>subplane3_base_point_size</base_point_size>
        <base_curve_radius>subplane3_base_curve_radius</base_curve_radius>
    </subplane3>
    <segment_by_two_points3>
        <id>%143</id>
        <out_subline>%144</out_subline>
        <in_points>%70 %46</in_points>
    </segment_by_two_points3>
    <subline3>
        <id>%144</id>
        <gstate>defined</gstate>
        <value>(0,0,8.8653483081100433,1)(0,0,2.2992364039987487,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>indian_red</curve_color1>
        <base_point_size>subline3_base_point_size</base_point_size>
        <base_curve_radius>subline3_base_curve_radius</base_curve_radius>
    </subline3>
    <point_by_line_and_plane3>
        <id>%145</id>
        <out_point>%146</out_point>
        <in_plane>%125</in_plane>
        <in_line>%144</in_line>
    </point_by_line_and_plane3>
    <point3>
        <id>%146</id>
        <gstate>defined</gstate>
        <value>(0,0,3.1462469255800554,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <object_image_by_point_reflection3>
        <id>%147</id>
        <in_center>%51</in_center>
        <out_object>%148</out_object>
        <in_object>%146</in_object>
    </object_image_by_point_reflection3>
    <point3>
        <id>%148</id>
        <gstate>defined</gstate>
        <value>(9.2038578098157693,0,1.4522258824174408,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <point_middle_of_two_points3>
        <id>%149</id>
        <out_point>%150</out_point>
        <in_points>%148 %146</in_points>
    </point_middle_of_two_points3>
    <point3>
        <id>%150</id>
        <gstate>defined</gstate>
        <value>(4.6019289049078846,0,2.2992364039987479,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <polygon_by_n_coplanar_points3>
        <id>%151</id>
        <out_subplane>%152</out_subplane>
        <in_points>%150 %57 %55 %53</in_points>
    </polygon_by_n_coplanar_points3>
    <subplane3>
        <id>%152</id>
        <gstate>defined</gstate>
        <surface_thickness>normal_surface_thickness</surface_thickness>
        <surface_style>small_hole_surface_style</surface_style>
        <surface_color1>dodger_blue</surface_color1>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>dodger_blue</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>small_curve_radius</curve_radius>
        <curve_color1>royal_blue</curve_color1>
        <base_surface_thickness>subplane3_base_surface_thickness</base_surface_thickness>
        <base_point_size>subplane3_base_point_size</base_point_size>
        <base_curve_radius>subplane3_base_curve_radius</base_curve_radius>
    </subplane3>
    <circle_by_axis_and_point3>
        <id>%153</id>
        <out_conic>%154</out_conic>
        <in_point>O_point</in_point>
        <in_line>%91</in_line>
    </circle_by_axis_and_point3>
    <conic3>
        <id>%154</id>
        <gstate>defined</gstate>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>orange</curve_color1>
        <base_curve_radius>conic3_base_curve_radius</base_curve_radius>
    </conic3>
    <circle_by_axis_and_point3>
        <id>%155</id>
        <out_conic>%156</out_conic>
        <in_point>%157</in_point>
        <in_line>%67</in_line>
    </circle_by_axis_and_point3>
    <conic3>
        <id>%156</id>
        <gstate>defined</gstate>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>orange</curve_color1>
        <base_curve_radius>conic3_base_curve_radius</base_curve_radius>
    </conic3>
    <point3>
        <id>%157</id>
        <gstate>defined</gstate>
        <value>(0.78619017642077105,0,0,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_on_line3>
        <id>%158</id>
        <position>(0.51882949944261791,0.85487774009394046)</position>
        <out_point>%157</out_point>
        <in_line>%15</in_line>
    </free_point_on_line3>
    <points_by_line_and_conic3>
        <id>%159</id>
        <out_points>%160 %161</out_points>
        <in_line>%15</in_line>
        <in_conic>%156</in_conic>
    </points_by_line_and_conic3>
    <point3>
        <id>%160</id>
        <gstate>defined</gstate>
        <value>(-0.78619017642077105,0,0,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <point3>
        <id>%161</id>
        <gstate>defined</gstate>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <line_perpendicular_to_plane_by_point3>
        <id>%162</id>
        <out_line>%163</out_line>
        <in_point>%160</in_point>
        <in_plane>Z0_Plane</in_plane>
    </line_perpendicular_to_plane_by_point3>
    <line3>
        <id>%163</id>
        <gstate>defined</gstate>
        <value>(0,0,-0.78613655804010463,0,-0.61805283925636756,0)</value>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>medium_aquamarine</curve_color1>
        <base_curve_radius>line3_base_curve_radius</base_curve_radius>
    </line3>
    <line_perpendicular_to_plane_by_point3>
        <id>%164</id>
        <out_line>%165</out_line>
        <in_point>%157</in_point>
        <in_plane>Z0_Plane</in_plane>
    </line_perpendicular_to_plane_by_point3>
    <line3>
        <id>%165</id>
        <gstate>defined</gstate>
        <value>(0,0,-0.78613655804010474,0,0.61805283925636756,0)</value>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>medium_aquamarine</curve_color1>
        <base_curve_radius>line3_base_curve_radius</base_curve_radius>
    </line3>
    <point3>
        <id>%166</id>
        <gstate>defined</gstate>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <point_by_line_and_plane3>
        <id>%167</id>
        <out_point>%166</out_point>
        <in_plane>%137</in_plane>
        <in_line>%59</in_line>
    </point_by_line_and_plane3>
    <segment_by_two_points3>
        <id>%168</id>
        <out_subline>%169</out_subline>
        <in_points>%166 %131</in_points>
    </segment_by_two_points3>
    <subline3>
        <id>%169</id>
        <gstate>defined</gstate>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>indian_red</curve_color1>
        <base_point_size>subline3_base_point_size</base_point_size>
        <base_curve_radius>subline3_base_curve_radius</base_curve_radius>
    </subline3>
    <segment_by_two_points3>
        <id>%170</id>
        <out_subline>%171</out_subline>
        <in_points>%131 %55</in_points>
    </segment_by_two_points3>
    <subline3>
        <id>%171</id>
        <gstate>defined</gstate>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>indian_red</curve_color1>
        <base_point_size>subline3_base_point_size</base_point_size>
        <base_curve_radius>subline3_base_curve_radius</base_curve_radius>
    </subline3>
    <points_by_line_and_quadric3>
        <id>%172</id>
        <out_points>%173 %174</out_points>
        <in_quadric>%105</in_quadric>
        <in_line>%165</in_line>
    </points_by_line_and_quadric3>
    <point3>
        <id>%173</id>
        <gstate>defined</gstate>
        <value>(0.78619017642077105,0,4.5468827084572778,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <point3>
        <id>%174</id>
        <gstate>defined</gstate>
        <value>(0.78619017642077105,0,5.9177935507297788,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <point_by_two_coplanar_lines3>
        <id>%178</id>
        <out_point>%179</out_point>
        <in_lines>%165 %169</in_lines>
    </point_by_two_coplanar_lines3>
    <point3>
        <id>%179</id>
        <gstate>defined</gstate>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>yellow</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <point_by_two_coplanar_lines3>
        <id>%180</id>
        <out_point>%181</out_point>
        <in_lines>%163 %171</in_lines>
    </point_by_two_coplanar_lines3>
    <point3>
        <id>%181</id>
        <gstate>defined</gstate>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>yellow</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <point_by_line_and_plane3>
        <id>%186</id>
        <out_point>%187</out_point>
        <in_plane>%125</in_plane>
        <in_line>%165</in_line>
    </point_by_line_and_plane3>
    <point3>
        <id>%187</id>
        <gstate>defined</gstate>
        <value>(0.78619017642077105,0,3.1462469255800549,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <point_by_line_and_plane3>
        <id>%188</id>
        <out_point>%189</out_point>
        <in_plane>%125</in_plane>
        <in_line>%163</in_line>
    </point_by_line_and_plane3>
    <point3>
        <id>%189</id>
        <gstate>defined</gstate>
        <value>(-0.78619017642077105,0,3.1462469255800549,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <point_by_line_and_plane3>
        <id>%190</id>
        <out_point>%191</out_point>
        <in_plane>%152</in_plane>
        <in_line>%165</in_line>
    </point_by_line_and_plane3>
    <point3>
        <id>%191</id>
        <gstate>defined</gstate>
        <value>(0.78619017642077083,0,2.2992364039987474,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <point_by_line_and_plane3>
        <id>%192</id>
        <out_point>%193</out_point>
        <in_plane>%152</in_plane>
        <in_line>%163</in_line>
    </point_by_line_and_plane3>
    <point3>
        <id>%193</id>
        <gstate>defined</gstate>
        <value>(-0.78619017642077094,0,2.2992364039987474,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <triangle_by_three_points3>
        <id>%194</id>
        <out_subplane>%195</out_subplane>
        <in_points>%173 %187 %146</in_points>
    </triangle_by_three_points3>
    <subplane3>
        <id>%195</id>
        <gstate>defined</gstate>
        <surface_thickness>normal_surface_thickness</surface_thickness>
        <surface_style>solid_surface_style</surface_style>
        <surface_color1>light_sky_blue</surface_color1>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>small_curve_radius</curve_radius>
        <curve_color1>purple</curve_color1>
        <base_surface_thickness>subplane3_base_surface_thickness</base_surface_thickness>
        <base_point_size>subplane3_base_point_size</base_point_size>
        <base_curve_radius>subplane3_base_curve_radius</base_curve_radius>
    </subplane3>
    <segment_by_two_points3>
        <id>%206</id>
        <out_subline>%207</out_subline>
        <in_points>%179 %99</in_points>
    </segment_by_two_points3>
    <subline3>
        <id>%207</id>
        <gstate>defined</gstate>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>yellow</curve_color1>
        <base_point_size>subline3_base_point_size</base_point_size>
        <base_curve_radius>subline3_base_curve_radius</base_curve_radius>
    </subline3>
    <segment_by_two_points3>
        <id>%208</id>
        <out_subline>%209</out_subline>
        <in_points>%99 %181</in_points>
    </segment_by_two_points3>
    <subline3>
        <id>%209</id>
        <gstate>defined</gstate>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>yellow</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>yellow</curve_color1>
        <base_point_size>subline3_base_point_size</base_point_size>
        <base_curve_radius>subline3_base_curve_radius</base_curve_radius>
    </subline3>
    <line_perpendicular_to_plane_by_point3>
        <id>%210</id>
        <out_line>%211</out_line>
        <in_point>%99</in_point>
        <in_plane>%195</in_plane>
    </line_perpendicular_to_plane_by_point3>
    <line3>
        <id>%211</id>
        <gstate>defined</gstate>
        <value>(0,-0.18772148776457887,0,0.9822222981746308,0,0)</value>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>medium_aquamarine</curve_color1>
        <base_curve_radius>line3_base_curve_radius</base_curve_radius>
    </line3>
    <line_perpendicular_to_plane_by_point3>
        <id>%212</id>
        <out_line>%213</out_line>
        <in_point>%189</in_point>
        <in_plane>%195</in_plane>
    </line_perpendicular_to_plane_by_point3>
    <line3>
        <id>%213</id>
        <gstate>defined</gstate>
        <value>(0,-0.29466664743816889,0,0.92709403357332076,0,0.23166402353473115)</value>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>medium_aquamarine</curve_color1>
        <base_curve_radius>line3_base_curve_radius</base_curve_radius>
    </line3>
    <circle_by_axis_and_point3>
        <id>%214</id>
        <out_conic>%215</out_conic>
        <in_point>%193</in_point>
        <in_line>%213</in_line>
    </circle_by_axis_and_point3>
    <conic3>
        <id>%215</id>
        <gstate>defined</gstate>
        <graphic_layers>hidden_layer</graphic_layers>
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        <curve_radius>normal_curve_radius</curve_radius>
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