阿基米德割圆术估算π

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Circle(A, 1) → c
3. Polygon(Vx, Vx_6, 6) → poly2, e, I, f, g, h, i, j, C, D, E
4. Polygon(Vx, Vx_{12}, 12) → poly3, k, a_1, b_1, c_1, J, K, L, M, N, O, P, l, Q, R, S, m, n, p, q, r, s, t
5. Polygon(Vx, Vx_{24}, 24) → poly4, d_1, m_1, n_1, p_1, q_1, r_1, s_1, t_1, a_2, b_2, c_2, e_1, d_2, e_2, f_2, g_2, h_2, F, G, H, T, U, f_1, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, g_1, H_1, I_1, J_1, K_1, L_1, M_1, N_1, h_1, i_1, j_1, k_1, l_1
6. Polygon(Vx, Vx_{48}, 48) → poly5, i_2, s_2, t_2, a_3, b_3, c_3, d_3, e_3, f_3, g_3, h_3, j_2, i_3, j_3, k_3, l_3, m_3, n_3, p_3, q_3, r_3, s_3, k_2, t_3, a_4, b_4, c_4, d_4, e_4, f_4, g_4, h_4, i_4, l_2, j_4, k_4, l_4, m_4, n_4, p_4, q_4, r_4, s_4, O_1, m_2, P_1, Q_1, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, n_2, B_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, p_2, L_2, M_2, N_2, O_2, P_2, Q_2, R_2, S_2, T_2, U_2, q_2, V_2, W_2, Z_2, A_3, B_3, C_3, D_3, E_3, F_3, G_3, r_2, H_3, I_3, J_3, K_3, L_3
7. Polygon(Vx, Vx_{96}, 96) → poly6, t_4, i_5, P_3, Q_3, R_3, S_3, T_3, U_3, V_3, W_3, Z_3, A_4, j_5, B_4, C_4, D_4, E_4, F_4, G_4, H_4, I_4, J_4, K_4, k_5, L_4, M_4, N_4, O_4, P_4, Q_4, R_4, S_4, T_4, U_4, l_5, V_4, W_4, Z_4, A_5, B_5, C_5, D_5, E_5, F_5, G_5, m_5, H_5, I_5, J_5, K_5, L_5, M_5, N_5, O_5, P_5, Q_5, n_5, R_5, S_5, T_5, U_5, V_5, W_5, Z_5, A_6, B_6, C_6, p_5, D_6, E_6, F_6, G_6, H_6, I_6, J_6, K_6, L_6, M_6, q_5, N_6, O_6, P_6, Q_6, R_6, S_6, T_6, U_6, V_6, W_6, r_5, Z_6, A_7, B_7, C_7, D_7, E_7, F_7, G_7, H_7, I_7, s_5, J_7, a_5, t_5, a_6, b_6, c_6, d_6, e_6, f_6, g_6, h_6, i_6, b_5, j_6, k_6, l_6, m_6, n_6, p_6, q_6, r_6, s_6, t_6, c_5, a_7, b_7, c_7, d_7, e_7, f_7, g_7, h_7, i_7, j_7, d_5, k_7, l_7, m_7, n_7, p_7, q_7, r_7, s_7, t_7, a_8, e_5, b_8, c_8, d_8, e_8, f_8, g_8, h_8, i_8, j_8, k_8, f_5, l_8, m_8, n_8, p_8, q_8, r_8, s_8, t_8, a_9, b_9, g_5, c_9, d_9, e_9, f_9, g_9, h_9, i_9, j_9, k_9, l_9, h_5, m_9, n_9, p_9, q_9, r_9, s_9, t_9, M_3, N_3, O_3
8. Polygon(V1_6, V2_6, 6) → poly7, a_{10}, V_7, b_{10}, c_{10}, d_{10}, e_{10}, f_{10}, K_7, L_7, U_7
9. Polygon(V1_{12}, V2_{12}, 12) → poly8, g_{10}, q_{10}, r_{10}, s_{10}, M_7, N_7, O_7, P_7, Q_7, R_7, S_7, h_{10}, T_7, W_7, Z_7, i_{10}, j_{10}, k_{10}, l_{10}, m_{10}, n_{10}, p_{10}
10. Polygon(V1_{24}, V2_{24}, 24) → poly9, t_{10}, i_{11}, j_{11}, k_{11}, l_{11}, m_{11}, n_{11}, p_{11}, q_{11}, r_{11}, s_{11}, a_{11}, t_{11}, a_{12}, b_{12}, c_{12}, d_{12}, A_8, B_8, C_8, D_8, E_8, b_{11}, F_8, G_8, H_8, I_8, J_8, K_8, L_8, M_8, N_8, O_8, c_{11}, P_8, Q_8, R_8, S_8, T_8, U_8, V_8, d_{11}, e_{11}, f_{11}, g_{11}, h_{11}
11. Polygon(V1_{48}, V2_{48}, 48) → poly10, e_{12}, n_{12}, p_{12}, q_{12}, r_{12}, s_{12}, t_{12}, a_{13}, b_{13}, c_{13}, d_{13}, f_{12}, e_{13}, f_{13}, g_{13}, h_{13}, i_{13}, j_{13}, k_{13}, l_{13}, m_{13}, n_{13}, g_{12}, p_{13}, q_{13}, r_{13}, s_{13}, t_{13}, a_{14}, b_{14}, c_{14}, d_{14}, e_{14}, h_{12}, f_{14}, g_{14}, h_{14}, i_{14}, j_{14}, k_{14}, l_{14}, m_{14}, n_{14}, W_8, i_{12}, Z_8, A_9, B_9, C_9, D_9, E_9, F_9, G_9, H_9, I_9, j_{12}, J_9, K_9, L_9, M_9, N_9, O_9, P_9, Q_9, R_9, S_9, k_{12}, T_9, U_9, V_9, W_9, Z_9, A_{10}, B_{10}, C_{10}, D_{10}, E_{10}, l_{12}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}, L_{10}, M_{10}, N_{10}, O_{10}, m_{12}, P_{10}, Q_{10}, R_{10}, S_{10}, T_{10}
12. Polygon(V1_{96}, V2_{96}, 96) → poly11, p_{14}, e_{15}, Z_{10}, A_{11}, B_{11}, C_{11}, D_{11}, E_{11}, F_{11}, G_{11}, H_{11}, I_{11}, f_{15}, J_{11}, K_{11}, L_{11}, M_{11}, N_{11}, O_{11}, P_{11}, Q_{11}, R_{11}, S_{11}, g_{15}, T_{11}, U_{11}, V_{11}, W_{11}, Z_{11}, A_{12}, B_{12}, C_{12}, D_{12}, E_{12}, h_{15}, F_{12}, G_{12}, H_{12}, I_{12}, J_{12}, K_{12}, L_{12}, M_{12}, N_{12}, O_{12}, i_{15}, P_{12}, Q_{12}, R_{12}, S_{12}, T_{12}, U_{12}, V_{12}, W_{12}, Z_{12}, A_{13}, j_{15}, B_{13}, C_{13}, D_{13}, E_{13}, F_{13}, G_{13}, H_{13}, I_{13}, J_{13}, K_{13}, k_{15}, L_{13}, M_{13}, N_{13}, O_{13}, P_{13}, Q_{13}, R_{13}, S_{13}, T_{13}, U_{13}, l_{15}, V_{13}, W_{13}, Z_{13}, A_{14}, B_{14}, C_{14}, D_{14}, E_{14}, F_{14}, G_{14}, m_{15}, H_{14}, I_{14}, J_{14}, K_{14}, L_{14}, M_{14}, N_{14}, O_{14}, P_{14}, Q_{14}, n_{15}, R_{14}, q_{14}, p_{15}, q_{15}, r_{15}, s_{15}, t_{15}, a_{16}, b_{16}, c_{16}, d_{16}, e_{16}, r_{14}, f_{16}, g_{16}, h_{16}, i_{16}, j_{16}, k_{16}, l_{16}, m_{16}, n_{16}, p_{16}, s_{14}, q_{16}, r_{16}, s_{16}, t_{16}, a_{17}, b_{17}, c_{17}, d_{17}, e_{17}, f_{17}, t_{14}, g_{17}, h_{17}, i_{17}, j_{17}, k_{17}, l_{17}, m_{17}, n_{17}, p_{17}, q_{17}, a_{15}, r_{17}, s_{17}, t_{17}, a_{18}, b_{18}, c_{18}, d_{18}, e_{18}, f_{18}, g_{18}, b_{15}, h_{18}, i_{18}, j_{18}, k_{18}, l_{18}, m_{18}, n_{18}, p_{18}, q_{18}, r_{18}, c_{15}, s_{18}, t_{18}, a_{19}, b_{19}, c_{19}, d_{19}, e_{19}, f_{19}, g_{19}, h_{19}, d_{15}, i_{19}, j_{19}, k_{19}, l_{19}, m_{19}, n_{19}, p_{19}, U_{10}, V_{10}, W_{10}