内接和外切多边形 by Linda Triplett

GeoGebra 命令及参数

1. Circle(A, 5) → c
2. Point(c) → B
3. Rotate(B, (360 / n)°, A) → B'
4. Angle(B, A, B') → α
5. Polygon(B, B', n) → poly1, f, f_1, g_{10}, C, I, K, L, P, Q, R, S, T, g_1, B_1, C_1, D_1, E_1, F_1, L_1, M_1, N_1, O_1, T_1, m_1, U_1, V_1, B_2, D_2, E_2, F_2, J_2, K_2, N_2, O_2, n_1, R_2, S_2, V_2, W_2, B_3, D_3, F_3, G_3, H_3, I_3, p_1, J_3, P_3, Q_3, R_3, S_3, T_3, U_3, V_3, W_3, H_4, q_1, I_4, J_4, K_4, L_4, R_4, S_4, V_4, Z_4, A_5, B_5, r_1, C_5, D_5, E_5, F_5, G_5, H_5, I_5, J_5, K_5, L_5, d_1, M_5, N_5, F_6, G_6, H_6, I_6, J_6, K_6, L_6, M_6, e_1, N_6, O_6, P_6, Q_6, F_7, G_7, J_7, L_7, M_7, N_7, f_2, O_7, P_7, Q_7, R_7, S_7, T_7, U_7, V_7, W_7, g, g_2, l_2, m_2, n_2, s_2, a_2, b_2, c_2, g_3, h_3, h, k_3, l_3, p_3, q_3, t_3, a_3, d_3, f_4, h_4, i_4, m, j_4, k_4, l_4, s_4, t_4, a_4, b_4, c_4, d_4, e_4, q, f_5, p_5, q_5, r_5, s_5, t_5, f_6, g_6, j_6, l_6, r, m_6, n_6, p_6, q_6, r_6, s_6, t_6, a_6, b_6, c_6, a, d_6, e_6, f_7, g_7, d_7, e_7, f_8, g_8, h_8, i_8, b, j_8, k_8, l_8, m_8, n_8, p_8, i_9, j_9, m_9, p_9, e, q_9, r_9, s_9, t_9, a_9, b_9, c_9, d_9, e_9, f_{10}
6. OrthogonalLine(A, f) → i
7. Intersect(i, f) → D
8. Circle(A, D) → d
9. Intersect(d, h) → E, F
10. Intersect(d, g) → G, M
11. Polygon(D, G, n) → poly2, j, k_1, t_{10}, H, J, N, O, U, V, W, Z, A_1, l_1, G_1, H_1, I_1, J_1, K_1, P_1, Q_1, R_1, S_1, W_1, s_1, Z_1, A_2, C_2, G_2, H_2, I_2, L_2, M_2, P_2, Q_2, t_1, T_2, U_2, Z_2, A_3, C_3, E_3, K_3, L_3, M_3, N_3, a_1, O_3, Z_3, A_4, B_4, C_4, D_4, E_4, F_4, G_4, M_4, b_1, N_4, O_4, P_4, Q_4, T_4, U_4, W_4, O_5, P_5, Q_5, c_1, R_5, S_5, T_5, U_5, V_5, W_5, Z_5, A_6, B_6, C_6, h_2, D_6, E_6, R_6, S_6, T_6, U_6, V_6, W_6, Z_6, A_7, i_2, B_7, C_7, D_7, E_7, H_7, I_7, K_7, Z_7, A_8, B_8, j_2, C_8, D_8, E_8, F_8, G_8, H_8, I_8, J_8, K_8, k, k_2, p_2, q_2, r_2, t_2, d_2, e_2, f_3, i_3, j_3, l, m_3, n_3, r_3, s_3, b_3, c_3, e_3, g_4, m_4, n_4, p, p_4, q_4, r_4, g_5, h_5, i_5, j_5, k_5, l_5, m_5, s, n_5, a_5, b_5, c_5, d_5, e_5, h_6, i_6, k_6, h_7, t, i_7, j_7, k_7, l_7, m_7, n_7, p_7, q_7, r_7, s_7, h_1, t_7, a_7, b_7, c_7, q_8, r_8, s_8, t_8, a_8, b_8, i_1, c_8, d_8, e_8, f_9, g_9, h_9, k_9, l_9, n_9, h_{10}, j_1, i_{10}, j_{10}, k_{10}, l_{10}, m_{10}, n_{10}, p_{10}, q_{10}, r_{10}, s_{10}
12. Circumference(d) → circumferenced
13. PointIn(d) → Pointd