Daniel Linus Torres Geometric Construction Example

GeoGebra Commands & Parameters

1. Polygon(C, D, M, N, O, P, Q, R, S, T, U, E, F, G, H, I, J, K, L) → poly1, c, l, m, n, o, p, q, r, s, t, u, d, e, f, g, h, i, j, k
2. Polygon(V, W, Z, A_1) → q1, v, w, z_1, a_1
3. Polygon(B_1, C_1, D_1) → t1, d_1, b_1, c_1
4. Polygon(E_1, F_1, G_1) → t2, g_1, e_1, f_1
5. Polygon(H_1, I_1, J_1, K_1) → q2, h_1, i_1, j_1, k_1
6. Polygon(L_1, M_1, N_1, O_1) → q3, l_1, m_1, n_1, o_1
7. Segment(P_1, Q_1) → a
8. Polygon(R_1, S_1, T_1, U_1) → q4, r_1, s_1, t_1, u_1
9. Polygon(V_1, W_1, Z_1, A_2) → q5, v_1, w_1, b, a_2
10. Intersect(d_1, c_1) → E_2
11. Point(c_1) → F_2
12. Polygon(B_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2) → poly2, b_2, c_2, d_2, e_2, f_2, g_2, h_2, i_2
13. Point(f_1) → K_2
14. Polygon(J_2, K_2, L_2, M_2, N_2, O_2) → poly3, j_2, k_2, l_2, m_2, n_2, o_2
15. Intersect(g_1, f_1) → P_2
16. Intersect(m_2, n_2) → S_2
17. Intersect(l_2, m_2) → T_2
18. Polygon(P_2, Q_2, R_2, S_2, T_2) → poly4, p_2, q_2, r_2, s_2, t_2
19. Polygon(U_2, V_2, W_2, Z_2) → q6, u_2, v_2, w_2, z_2
20. Segment(A_3, B_3) → p_1
21. CircumcircleArc(C_3, D_3, E_3) → q_1
22. CircumcircleArc(F_3, G_3, H_3) → c_3
23. Polygon(I_3, J_3, K_3, L_3) → q7, i_3, j_3, k_3, l_3
24. Segment(M_3, N_3) → f_3
25. Point(c_3) → Q_3
26. CircumcircleArc(Q_3, P_3, O_3) → d_3
27. CircumcircleArc(R_3, S_3, T_3) → e_3
28. Point(e_3) → U_3
29. Segment(U_3, V_3) → g_3
30. Segment(V_3, W_3) → h_3
31. Segment(Z_3, A_4) → m_3
32. Point(m_3) → B_4
33. Segment(B_4, C_4) → n_3
34. Segment(D_4, C_4) → p_3
35. Segment(E_4, F_4) → q_3
36. Point(p_3) → G_4
37. Segment(G_4, F_4) → r_3
38. Point(q_3) → I_4
39. Segment(H_4, I_4) → s_3
40. Segment(J_4, K_4) → t_3
41. Segment(K_4, L_4) → a_3
42. Segment(L_4, M_4) → b_3
43. Segment(M_4, N_4) → f_4
44. CircumcircleArc(P_4, Q_4, O_4) → c_4
45. Point(c_4) → R_4
46. Segment(R_4, S_4) → g_4
47. Segment(S_4, T_4) → h_4
48. Point(h_4) → U_4
49. Segment(U_4, V_4) → i_4
50. Point(i_4) → W_4
51. Segment(W_4, Z_4) → j_4
52. Segment(A_5, Z_4) → k_4
53. Point(k_4) → B_5
54. Segment(B_5, C_5) → l_4
55. Segment(D_5, E_5) → m_4
56. Point(h_4) → F_5
57. Segment(F_5, E_5) → n_4
58. CircumcircleArc(I_5, H_5, G_5) → d_4
59. Point(d_4) → J_5
60. Segment(J_5, K_5) → p_4
61. Point(d_4) → L_5
62. Segment(L_5, M_5) → q_4
63. Point(q_4) → N_5
64. Segment(N_5, O_5) → r_4
65. CircumcircleArc(P_5, Q_5, R_5) → e_4
66. Point(e_4) → T_5
67. Segment(S_5, T_5) → s_4
68. Point(s_4) → W_5
69. CircumcircleArc(U_5, V_5, W_5) → t_4
70. Point(t_4) → Z_5
71. CircumcircleArc(Z_5, A_6, B_6) → c_5
72. Point(c_5) → C_6
73. Segment(C_6, D_6) → a_4
74. Point(a_4) → F_6
75. Segment(E_6, F_6) → b_4
76. Point(b_4) → H_6
77. Segment(G_6, H_6) → f_5
78. Point(e_3) → I_6
79. Segment(I_6, J_6) → g_5
80. Segment(J_6, K_6) → h_5
81. Segment(K_6, L_6) → i_5
82. Point(f_5) → M_6
83. Segment(L_6, M_6) → j_5
84. Polygon(N_6, O_6, P_6, Q_6) → q8, n_6, o_6, p_6, q_6
85. Intersect(n_6, o_6) → T_6
86. Polygon(R_6, S_6, T_6) → t3, t_6, r_6, s_6
87. Polygon(U_6, V_6, G_7, H_7, I_7, J_7, K_7, L_7, M_7, W_6, Z_6, A_7, B_7, C_7, D_7, E_7, F_7) → poly5, u_6, f_7, g_7, h_7, i_7, j_7, k_7, l_7, m_7, v_6, w_6, z_6, a_7, b_7, c_7, d_7, e_7
88. CircumcircleArc(P_7, O_7, N_7) → d_5
89. Point(j_2) → Q_7
90. Polygon(Q_7, R_7, S_7, T_7, U_7, V_7) → poly6, q_7, r_7, s_7, t_7, u_7, v_7
91. Point(v_7) → W_7
92. Point(t_7) → J_8
93. Polygon(W_7, Z_7, I_8, J_8, A_8, B_8, C_8, D_8, E_8, F_8, G_8, H_8) → poly7, w_7, h_8, i_8, j_8, z_7, a_8, b_8, c_8, d_8, e_8, f_8, g_8
94. Polygon(K_8, L_8, M_8, N_8, O_8, P_8) → poly8, k_8, l_8, m_8, n_8, o_8, p_8
95. Polygon(Q_8, R_8, S_8, T_8, U_8, V_8, W_8, Z_8) → poly9, q_8, r_8, s_8, t_8, u_8, v_8, w_8, z_8
96. Point(q_8) → I_9
97. Polygon(A_9, B_9, C_9, D_9, E_9, F_9, G_9, H_9, I_9) → poly10, a_9, b_9, c_9, d_9, e_9, f_9, g_9, h_9, i_9
98. Point(e_9) → J_9
99. Polygon(J_9, K_9, L_9, M_9, N_9, O_9) → poly11, j_9, k_9, l_9, m_9, n_9, o_9
100. Point(d_5) → V_9
101. Polygon(P_9, Q_9, B_{10}, C_{10}, D_{10}, E_{10}, F_{10}, G_{10}, R_9, S_9, T_9, U_9, V_9, W_9, Z_9, A_{10}) → poly12, p_9, a_{10}, b_{10}, c_{10}, d_{10}, e_{10}, f_{10}, g_{10}, q_9, r_9, s_9, t_9, u_9, v_9, w_9, z_9
102. Point(q_6) → H_{10}
103. Point(p_9) → J_{10}
104. Polygon(H_{10}, I_{10}, J_{10}, K_{10}) → q9, h_{10}, i_{10}, j_{10}, k_{10}
105. Point(u_8) → L_{10}
106. Point(p_9) → M_{10}
107. Segment(L_{10}, M_{10}) → k_5
108. Polygon(N_{10}, O_{10}, P_{10}, Q_{10}) → q10, n_{10}, o_{10}, p_{10}, q_{10}
109. Polygon(R_{10}, S_{10}, T_{10}) → t4, t_{10}, r_{10}, s_{10}
110. Polygon(U_{10}, V_{10}, W_{10}, Z_{10}, A_{11}, B_{11}, C_{11}, D_{11}) → poly13, u_{10}, v_{10}, w_{10}, z_{10}, a_{11}, b_{11}, c_{11}, d_{11}
111. Point(q_7) → E_{11}
112. Point(g_1) → K_{11}
113. Polygon(E_{11}, F_{11}, G_{11}, H_{11}, I_{11}, J_{11}, K_{11}, L_{11}, M_{11}) → poly14, e_{11}, f_{11}, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}, l_{11}, m_{11}
114. Point(t_{10}) → N_{11}
115. Intersect(g_{11}, h_{11}) → P_{11}
116. Point(s_1) → U_{11}
117. Polygon(N_{11}, O_{11}, Z_{11}, P_{11}, Q_{11}, R_{11}, S_{11}, T_{11}, U_{11}, V_{11}, W_{11}) → poly15, n_{11}, w_{11}, z_{11}, o_{11}, p_{11}, q_{11}, r_{11}, s_{11}, t_{11}, u_{11}, v_{11}
118. Point(g_1) → A_{12}
119. Point(g_1) → B_{12}
120. Point(v_{10}) → F_{12}
121. Polygon(A_{12}, B_{12}, K_{12}, C_{12}, D_{12}, E_{12}, F_{12}, G_{12}, H_{12}, I_{12}, J_{12}) → poly16, a_{12}, j_{12}, k_{12}, b_{12}, c_{12}, d_{12}, e_{12}, f_{12}, g_{12}, h_{12}, i_{12}
122. Point(u) → V_{12}
123. Point(s) → Z_{12}
124. Polygon(L_{12}, M_{12}, V_{12}, W_{12}, Z_{12}, N_{12}, O_{12}, P_{12}, Q_{12}, R_{12}, S_{12}, T_{12}, U_{12}) → poly17, l_{12}, u_{12}, v_{12}, w_{12}, z_{12}, m_{12}, n_{12}, o_{12}, p_{12}, q_{12}, r_{12}, s_{12}, t_{12}
125. Point(q_{12}) → H_{13}
126. Intersect(q_{12}, r_{12}) → I_{13}
127. Point(t_{12}) → K_{13}
128. Polygon(A_{13}, B_{13}, K_{13}, C_{13}, D_{13}, E_{13}, F_{13}, G_{13}, H_{13}, I_{13}, J_{13}) → poly18, a_{13}, j_{13}, k_{13}, b_{13}, c_{13}, d_{13}, e_{13}, f_{13}, g_{13}, h_{13}, i_{13}
129. Polygon(L_{13}, M_{13}, V_{13}, W_{13}, N_{13}, O_{13}, P_{13}, Q_{13}, R_{13}, S_{13}, T_{13}, U_{13}) → poly19, l_{13}, u_{13}, v_{13}, w_{13}, m_{13}, n_{13}, o_{13}, p_{13}, q_{13}, r_{13}, s_{13}, t_{13}
130. Circle(Z_{13}, A_{14}) → e_5
131. Point(e_5) → H_{14}
132. Polygon(B_{14}, C_{14}, L_{14}, M_{14}, D_{14}, E_{14}, F_{14}, G_{14}, H_{14}, I_{14}, J_{14}, K_{14}) → poly20, b_{14}, k_{14}, l_{14}, m_{14}, c_{14}, d_{14}, e_{14}, f_{14}, g_{14}, h_{14}, i_{14}, j_{14}
133. CircumcircleArc(N_{14}, R_{14}, O_{14}) → p_5
134. CircumcircleArc(O_{14}, P_{14}, Q_{14}) → q_5
135. Point(p_1) → S_{14}
136. Point(q_5) → T_{14}
137. Segment(S_{14}, T_{14}) → l_5
138. Polygon(U_{14}, V_{14}, W_{14}, Z_{14}, A_{15}, B_{15}) → poly21, u_{14}, v_{14}, w_{14}, z_{14}, a_{15}, b_{15}
139. Polygon(C_{15}, D_{15}, E_{15}, F_{15}, G_{15}, H_{15}, I_{15}, J_{15}) → poly22, c_{15}, d_{15}, e_{15}, f_{15}, g_{15}, h_{15}, i_{15}, j_{15}
140. Polygon(K_{15}, L_{15}, M_{15}, N_{15}, O_{15}) → poly23, k_{15}, l_{15}, m_{15}, n_{15}, o_{15}
141. Polygon(P_{15}, Q_{15}, R_{15}, S_{15}, T_{15}, U_{15}, V_{15}) → poly24, p_{15}, q_{15}, r_{15}, s_{15}, t_{15}, u_{15}, v_{15}
142. CircumcircleArc(W_{15}, Z_{15}, A_{16}) → r_5
143. Point(r_5) → B_{16}
144. Segment(B_{16}, C_{16}) → m_5
145. Segment(C_{16}, E_{16}) → n_5
146. Segment(E_{16}, F_{16}) → s_5
147. Point(d_3) → G_{16}
148. Segment(F_{16}, G_{16}) → t_5
149. Point(m_{14}) → I_{16}
150. Segment(H_{16}, I_{16}) → a_5
151. Polygon(J_{16}, K_{16}, L_{16}, M_{16}, N_{16}, P_{16}, Q_{16}, R_{16}, S_{16}, T_{16}) → poly25, j_{16}, t_{16}, k_{16}, l_{16}, m_{16}, n_{16}, p_{16}, q_{16}, r_{16}, s_{16}
152. Polygon(U_{16}, V_{16}, G_{17}, H_{17}, I_{17}, J_{17}, K_{17}, L_{17}, M_{17}, N_{17}, W_{16}, Z_{16}, A_{17}, B_{17}, C_{17}, D_{17}, E_{17}, F_{17}) → poly26, u_{16}, f_{17}, g_{17}, h_{17}, i_{17}, j_{17}, k_{17}, l_{17}, m_{17}, n_{17}, v_{16}, w_{16}, z_{16}, a_{17}, b_{17}, c_{17}, d_{17}, e_{17}
153. Circle(O_{17}, 0.05831402990621129) → c_6
154. Circle(P_{17}, 0.04790384118797706) → d_6
155. Segment(Q_{17}, R_{17}) → b_5
156. Segment(S_{17}, R_{17}) → f_6
157. Segment(T_{17}, U_{17}) → g_6
158. Segment(U_{17}, V_{17}) → h_6
159. Polygon(W_{17}, Z_{17}, A_{18}, B_{18}, C_{18}) → poly27, w_{17}, z_{17}, a_{18}, b_{18}, c_{18}
160. Polygon(D_{18}, E_{18}, F_{18}, G_{18}, H_{18}, I_{18}) → poly28, d_{18}, e_{18}, f_{18}, g_{18}, h_{18}, i_{18}
161. Segment(J_{18}, K_{18}) → i_6
162. Segment(L_{18}, K_{18}) → j_6
163. Segment(M_{18}, K_{18}) → k_6
164. CircumcircleArc(N_{18}, O_{18}, P_{18}) → e_6
165. Point(e_3) → R_{18}
166. Segment(Q_{18}, R_{18}) → l_6
167. Point(l_5) → S_{18}
168. Intersect(p_1, l_5) → T_{18}
169. Polygon(S_{18}, T_{18}, U_{18}, V_{18}, W_{18}, Z_{18}, A_{19}, B_{19}) → poly29, s_{18}, t_{18}, u_{18}, v_{18}, w_{18}, z_{18}, a_{19}, b_{19}
170. Polygon(C_{19}, D_{19}, M_{19}, N_{19}, E_{19}, F_{19}, G_{19}, H_{19}, I_{19}, J_{19}, K_{19}, L_{19}) → poly30, c_{19}, l_{19}, m_{19}, n_{19}, d_{19}, e_{19}, f_{19}, g_{19}, h_{19}, i_{19}, j_{19}, k_{19}
171. Polygon(U_{19}, V_{19}, G_{20}, H_{20}, I_{20}, J_{20}, K_{20}, L_{20}, M_{20}, N_{20}, O_{20}, P_{20}, Z_{19}, Q_{20}, R_{20}, S_{20}, T_{20}, U_{20}, V_{20}, W_{20}, Z_{20}, A_{21}, B_{21}, W_{19}, C_{21}, D_{21}, E_{21}, F_{21}, G_{21}, H_{21}, I_{21}, J_{21}, K_{21}, L_{21}, A_{20}, M_{21}, N_{21}, O_{21}, P_{21}, Q_{21}, R_{21}, S_{21}, T_{21}, U_{21}, V_{21}, B_{20}, W_{21}, Z_{21}, A_{22}, B_{22}, C_{20}, D_{20}, E_{20}, F_{20}) → poly32, u_{19}, f_{20}, g_{20}, h_{20}, i_{20}, j_{20}, k_{20}, l_{20}, m_{20}, n_{20}, o_{20}, v_{19}, p_{20}, q_{20}, r_{20}, s_{20}, t_{20}, u_{20}, v_{20}, w_{20}, z_{20}, a_{21}, z_{19}, b_{21}, c_{21}, d_{21}, e_{21}, f_{21}, g_{21}, h_{21}, i_{21}, j_{21}, k_{21}, w_{19}, l_{21}, m_{21}, n_{21}, o_{21}, p_{21}, q_{21}, r_{21}, s_{21}, t_{21}, u_{21}, a_{20}, v_{21}, w_{21}, z_{21}, a_{22}, b_{22}, b_{20}, c_{20}, d_{20}, e_{20}
172. Intersect(u_{19}, b_{22}) → C_{22}
173. Point(v_{19}) → P_{22}
174. Polygon(C_{22}, D_{22}, M_{22}, N_{22}, O_{22}, P_{22}, E_{22}, F_{22}, G_{22}, H_{22}, I_{22}, J_{22}, K_{22}, L_{22}) → poly33, c_{22}, l_{22}, m_{22}, n_{22}, o_{22}, p_{22}, d_{22}, e_{22}, f_{22}, g_{22}, h_{22}, i_{22}, j_{22}, k_{22}
175. Point(u_{19}) → Q_{22}
176. Point(c_{19}) → R_{22}
177. Point(w_{19}) → S_{22}
178. Point(u_{19}) → U_{22}
179. Polygon(Q_{22}, R_{22}, S_{22}, T_{22}, U_{22}) → poly31, q_{22}, r_{22}, s_{22}, t_{22}, u_{22}
180. Intersect(u_{19}, c_{22}) → V_{22}
181. Segment(V_{22}, W_{22}) → m_6
182. Segment(W_{22}, Z_{22}) → a_6
183. Point(z_{21}) → A_{23}
184. Segment(A_{23}, Z_{22}) → b_6