内接与外切多边形

GeoGebra 命令及参数

1. Circle(A, 1) → c
2. Point(c) → B
3. Rotate(B, (360 / a)°, A) → B'
4. Polygon(B, B', a) → poly1, f, k_1, m_1, p_1, r_1, t_1, b_1, d_1, f_2, h_2, j_2, g, l_2, n_2, q_2, s_2, a_2, c_2, e_2, f_3, g_3, h_3, h, m_3, p_3, r_3, t_3, a_3, b_3, c_3, h_4, i_4, j_4, q, k_4, l_4, m_4, n_4, c_4, d_4, e_4, f_5, g_5, m_5, s, n_5, C, G, I, K, M, O, Q, S, U, b, W, A_1, C_1, E_1, G_1, I_1, K_1, M_1, O_1, Q_1, e, S_1, U_1, W_1, A_2, C_2, D_2, E_2, F_2, K_2, M_2, g_1, O_2, Q_2, R_2, S_2, T_2, A_3, B_3, C_3, D_3, E_3, i_1, F_3, G_3, O_3, P_3, Q_3, R_3, S_3, A_4, B_4
5. OrthogonalLine(A, f) → i
6. OrthogonalLine(A, g) → j
7. Tangent(B, c) → k,
8. Intersect(i, k) → D
9. Tangent(B', c) → l,
10. Intersect(j, l) → E
11. Polygon(D, E, a) → poly2, m, l_1, n_1, q_1, s_1, a_1, c_1, e_1, g_2, i_2, k_2, n, m_2, p_2, r_2, t_2, b_2, d_2, i_3, j_3, k_3, l_3, p, n_3, q_3, s_3, d_3, e_3, f_4, g_4, p_4, q_4, r_4, r, s_4, t_4, a_4, b_4, h_5, i_5, j_5, k_5, l_5, p_5, t, q_5, F, H, J, L, N, P, R, T, V, d, Z, B_1, D_1, F_1, H_1, J_1, L_1, N_1, P_1, R_1, f_1, T_1, V_1, Z_1, B_2, G_2, H_2, I_2, J_2, L_2, N_2, h_1, P_2, U_2, V_2, W_2, Z_2, H_3, I_3, J_3, K_3, L_3, j_1, M_3, N_3, T_3, U_3, V_3, W_3, Z_3, C_4, D_4
12. Circle(A_{5}, 1) → c_{5}
13. Point(c_{5}) → B_{5}
14. Rotate(B_{5}, (360 / a)°, A_{5}) → B'_{1}
15. Polygon(B_{5}, B'_{1}, a) → poly1_{1}, f_{6}, k_{6}, m_{6}, p_{6}, r_{5}, t_{5}, b_{6}, d_{5}, f_{7}, h_{7}, j_{6}, g_{6}, l_{6}, n_{6}, q_{7}, s_{6}, a_{5}, c_{6}, e_{6}, f_{8}, g_{8}, h_{8}, h_{6}, m_{7}, p_{7}, r_{6}, t_{6}, a_{6}, b_{7}, c_{7}, h_{9}, i_{7}, j_{7}, q_{6}, k_{7}, l_{7}, m_{8}, n_{7}, c_{8}, d_{6}, e_{7}, f_{9}, g_{9}, m_{9}, s_{5}, n_{8}, C_{5}, G_{4}, I_{4}, K_{4}, M_{4}, O_{4}, Q_{4}, S_{4}, U_{4}, b_{5}, W_{4}, A_{6}, C_{6}, E_{4}, G_{5}, I_{5}, K_{5}, M_{5}, O_{5}, Q_{5}, e_{5}, S_{5}, U_{5}, W_{5}, A_{7}, C_{7}, D_{5}, E_{5}, F_{4}, K_{6}, M_{6}, g_{7}, O_{6}, Q_{6}, R_{4}, S_{6}, T_{4}, A_{8}, B_{6}, C_{8}, D_{6}, E_{6}, i_{6}, F_{5}, G_{6}, O_{7}, P_{4}, Q_{7}, R_{5}, S_{7}, A_{9}, B_{7}
16. Tangent(B_{5}, c_{5}) → k_{8},
17. Tangent(B'_{1}, c_{5}) → l_{8},