寻找质数

寻找质数
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2020-07-10 02:31
①本范例通过动态演示展示质数的判定方法;②涉及核心数学概念包括质数定义、数论、几何直观;③作图要点:使用Segment(线段)、Intersect(交点)、Point(点)等命令,构建数轴与质数可视化模型;④适合初中及以上数学学习者,用于理解质数分布与性质。

GeoGebra 命令及参数

  1. Segment(B_2, T_1) → n_1
  2. Segment(B_7, T_5) → n_4
  3. Segment(B_{15}, T_{13}) → n_{10}
  4. Segment(B_5, T_3) → n_2
  5. Segment(B_8, T_6) → n_3
  6. Segment(B_9, T_7) → n_5
  7. Segment(B_{10}, T_8) → n_6
  8. Segment(B_{11}, T_9) → n_7
  9. Segment(B_{12}, T_{10}) → n_8
  10. Segment(B_{13}, T_{11}) → n_9
  11. Segment(B_{25}, T_{14}) → n_{11}
  12. Segment(F_2, H_2) → h_1
  13. Segment(F_3, H_3) → h_2
  14. Segment(F_4, H_4) → h_3
  15. Segment(F_5, H_5) → h_4
  16. Segment(F_6, H_6) → h_5
  17. Segment(F_7, H_7) → h_6
  18. Segment(F_8, H_8) → h_7
  19. Segment(F_9, H_9) → h_8
  20. Segment(F_{10}, H_{10}) → h_9
  21. Segment(F_{11}, H_{11}) → h_{10}
  22. Segment(F_{12}, H_{12}) → h_{11}
  23. Intersect(n_2, h_1) → I_2
  24. Intersect(n_3, h_2) → J_2
  25. Segment(I_2, J_2) → f
  26. Intersect(n_2, h_2) → K_2
  27. Intersect(n_3, h_1) → M_2
  28. Segment(K_2, M_2) → g
  29. Point(h_1) → N_2
  30. Point(n_6) → O_2
  31. Intersect(n_5, h_2) → P_2
  32. Point(h_1) → Q_2
  33. Intersect(n_7, h_1) → R_2
  34. Point(h_2) → U_2
  35. Intersect(n_7, h_2) → V_2
  36. Point(h_1) → W_2
  37. Intersect(n_5, h_1) → Z_2
  38. Intersect(n_6, h_2) → J_3
  39. Segment(Z_2, J_3) → h
  40. Intersect(n_5, h_2) → K_3
  41. Intersect(n_6, h_1) → M_3
  42. Segment(K_3, M_3) → i
  43. Intersect(n_7, h_1) → N_3
  44. Intersect(n_8, h_2) → O_3
  45. Segment(N_3, O_3) → j
  46. Intersect(n_7, h_2) → P_3
  47. Intersect(n_8, h_1) → Q_3
  48. Segment(P_3, Q_3) → k
  49. Intersect(n_9, h_1) → R_3
  50. Intersect(n_{11}, h_2) → U_3
  51. Segment(R_3, U_3) → l
  52. Intersect(n_9, h_2) → V_3
  53. Intersect(n_{11}, h_1) → W_3
  54. Segment(V_3, W_3) → m
  55. Intersect(n_4, h_2) → Z_3
  56. Intersect(n_{10}, h_3) → A_4
  57. Segment(Z_3, A_4) → n
  58. Intersect(n_4, h_3) → C_4
  59. Intersect(n_{10}, h_2) → D_4
  60. Segment(C_4, D_4) → p
  61. Intersect(n_2, h_2) → I_4
  62. Intersect(n_3, h_3) → J_4
  63. Segment(I_4, J_4) → q
  64. Intersect(n_2, h_3) → K_4
  65. Intersect(n_3, h_2) → L_4
  66. Segment(K_4, L_4) → r
  67. Intersect(n_5, h_2) → M_4
  68. Intersect(n_6, h_3) → N_4
  69. Segment(M_4, N_4) → s
  70. Intersect(h_2, h) → O_4
  71. Intersect(n_5, h_3) → P_4
  72. Segment(O_4, P_4) → t
  73. Point(n_7) → Q_4
  74. Intersect(n_8, h_3) → R_4
  75. Segment(Q_4, R_4) → a
  76. Intersect(n_8, h_2) → U_4
  77. Segment(U_4, V_4) → b
  78. Intersect(n_{11}, h_3) → W_4
  79. Segment(V_3, W_4) → c
  80. Intersect(n_9, h_3) → Z_4
  81. Segment(U_3, Z_4) → d
  82. Intersect(n_{10}, h_4) → A_5
  83. Segment(C_4, A_5) → e
  84. Intersect(n_4, h_4) → C_5
  85. Segment(A_4, C_5) → f_1
  86. Segment(K_4, D_5) → g_1
  87. Intersect(n_2, h_4) → I_5
  88. Segment(J_4, I_5) → i_1
  89. Intersect(n_6, h_4) → J_5
  90. Segment(P_4, J_5) → j_1
  91. Intersect(n_5, h_4) → K_5
  92. Segment(N_4, K_5) → k_1
  93. Intersect(n_8, h_4) → L_5
  94. Segment(V_4, L_5) → l_1
  95. Intersect(n_7, h_4) → M_5
  96. Segment(R_4, M_5) → m_1
  97. Intersect(n_{11}, h_4) → N_5
  98. Segment(Z_4, N_5) → p_1
  99. Intersect(n_9, h_4) → O_5
  100. Segment(W_4, O_5) → q_1
  101. Intersect(n_{10}, h_5) → P_5
  102. Segment(C_5, P_5) → r_1
  103. Intersect(n_4, h_5) → Q_5
  104. Segment(A_5, Q_5) → s_1
  105. Intersect(n_3, h_5) → R_5
  106. Segment(I_5, R_5) → t_1
  107. Intersect(n_2, h_5) → U_5
  108. Segment(D_5, U_5) → a_1
  109. Intersect(n_6, h_5) → V_5
  110. Segment(K_5, V_5) → b_1
  111. Segment(J_5, W_5) → c_1
  112. Intersect(n_8, h_5) → Z_5
  113. Segment(M_5, Z_5) → d_1
  114. Intersect(n_7, h_5) → A_6
  115. Segment(L_5, A_6) → e_1
  116. Intersect(n_{11}, h_5) → C_6
  117. Segment(O_5, C_6) → f_2
  118. Intersect(n_9, h_5) → D_6
  119. Segment(N_5, D_6) → g_2
  120. Intersect(n_{10}, h_6) → E_6
  121. Segment(Q_5, E_6) → i_2
  122. Segment(P_5, I_6) → j_2
  123. Intersect(n_3, h_6) → J_6
  124. Segment(U_5, J_6) → k_2
  125. Intersect(n_2, h_6) → K_6
  126. Segment(R_5, K_6) → l_2
  127. Intersect(n_6, h_6) → L_6
  128. Segment(W_5, L_6) → m_2
  129. Intersect(n_5, h_6) → M_6
  130. Segment(V_5, M_6) → p_2
  131. Intersect(n_8, h_6) → N_6
  132. Segment(A_6, N_6) → q_2
  133. Point(n_7) → O_6
  134. Segment(Z_5, O_6) → r_2
  135. Intersect(n_{11}, h_6) → P_6
  136. Segment(D_6, P_6) → s_2
  137. Segment(C_6, Q_6) → t_2
  138. Intersect(n_{10}, h_7) → R_6
  139. Segment(I_6, R_6) → a_2
  140. Intersect(n_4, h_7) → U_6
  141. Segment(E_6, U_6) → b_2
  142. Intersect(n_3, h_7) → V_6
  143. Segment(K_6, V_6) → c_2
  144. Intersect(n_2, h_7) → W_6
  145. Segment(J_6, W_6) → d_2
  146. Intersect(n_6, h_7) → Z_6
  147. Segment(M_6, Z_6) → e_2
  148. Intersect(n_5, h_7) → A_7
  149. Segment(L_6, A_7) → f_3
  150. Intersect(n_8, h_7) → C_7
  151. Segment(O_6, C_7) → g_3
  152. Intersect(n_7, h_7) → D_7
  153. Segment(N_6, D_7) → i_3
  154. Intersect(n_{11}, h_7) → E_7
  155. Segment(Q_6, E_7) → j_3
  156. Intersect(n_9, h_7) → I_7
  157. Segment(P_6, I_7) → k_3
  158. Intersect(n_{10}, h_8) → J_7
  159. Segment(U_6, J_7) → l_3
  160. Intersect(n_4, h_8) → K_7
  161. Segment(R_6, K_7) → m_3
  162. Intersect(n_3, h_8) → L_7
  163. Segment(W_6, L_7) → p_3
  164. Intersect(n_2, h_8) → M_7
  165. Segment(V_6, M_7) → q_3
  166. Intersect(n_6, h_8) → N_7
  167. Segment(A_7, N_7) → r_3
  168. Point(n_5) → O_7
  169. Segment(Z_6, O_7) → s_3
  170. Point(n_8) → P_7
  171. Segment(D_7, P_7) → t_3
  172. Segment(C_7, Q_7) → a_3
  173. Intersect(n_{11}, h_8) → R_7
  174. Segment(I_7, R_7) → b_3
  175. Intersect(n_9, h_8) → S_7
  176. Segment(E_7, S_7) → c_3
  177. Intersect(n_{10}, h_9) → U_7
  178. Segment(K_7, U_7) → d_3
  179. Segment(J_7, V_7) → e_3
  180. Intersect(n_3, h_9) → W_7
  181. Segment(M_7, W_7) → f_4
  182. Intersect(n_2, h_9) → Z_7
  183. Segment(L_7, Z_7) → g_4
  184. Intersect(n_6, h_9) → A_8
  185. Segment(O_7, A_8) → i_4
  186. Intersect(n_5, h_9) → C_8
  187. Segment(N_7, C_8) → j_4
  188. Intersect(n_8, h_9) → D_8
  189. Segment(Q_7, D_8) → k_4
  190. Segment(P_7, E_8) → l_4
  191. Intersect(n_{11}, h_9) → I_8
  192. Segment(S_7, I_8) → m_4
  193. Intersect(n_9, h_9) → J_8
  194. Segment(R_7, J_8) → p_4
  195. Intersect(n_{10}, h_{10}) → K_8
  196. Segment(V_7, K_8) → q_4
  197. Intersect(n_4, h_{10}) → L_8
  198. Segment(U_7, L_8) → r_4
  199. Intersect(n_3, h_{10}) → M_8
  200. Segment(Z_7, M_8) → s_4
  201. Intersect(n_2, h_{10}) → N_8
  202. Segment(W_7, N_8) → t_4
  203. Intersect(n_6, h_{10}) → O_8
  204. Segment(C_8, O_8) → a_4
  205. Point(h_{10}) → P_8
  206. Segment(A_8, P_8) → b_4
  207. Point(h_{10}) → Q_8
  208. Segment(E_8, Q_8) → c_4
  209. Intersect(n_7, h_{10}) → R_8
  210. Segment(D_8, R_8) → d_4
  211. Intersect(n_{11}, h_{10}) → S_8
  212. Segment(J_8, S_8) → e_4
  213. Intersect(n_9, h_{10}) → U_8
  214. Segment(I_8, U_8) → f_5
  215. Intersect(n_{10}, h_{11}) → V_8
  216. Segment(L_8, V_8) → g_5
  217. Segment(K_8, W_8) → i_5
  218. Intersect(n_3, h_{11}) → Z_8
  219. Segment(N_8, Z_8) → j_5
  220. Segment(M_8, A_9) → k_5
  221. Intersect(n_6, h_{11}) → C_9
  222. Segment(P_8, C_9) → l_5
  223. Point(n_5) → D_9
  224. Segment(O_8, D_9) → m_5
  225. Intersect(n_8, h_{11}) → E_9
  226. Segment(R_8, E_9) → p_5
  227. Point(n_7) → I_9
  228. Segment(Q_8, I_9) → q_5
  229. Intersect(n_{11}, h_{11}) → J_9
  230. Segment(U_8, J_9) → r_5
  231. Intersect(n_9, h_{11}) → K_9
  232. Segment(S_8, K_9) → s_5
  233. Intersect(n_9, h_1) → L_9
  234. Intersect(n_{11}, h_2) → M_9
  235. Segment(L_9, M_9) → t_5
  236. Intersect(n_9, h_2) → N_9
  237. Intersect(n_{11}, h_1) → O_9
  238. Segment(N_9, O_9) → a_5
  239. Intersect(n_4, h_2) → P_9
  240. Intersect(n_{10}, h_3) → Q_9
  241. Segment(P_9, Q_9) → b_5
  242. Intersect(n_{10}, h_2) → R_9
  243. Intersect(n_4, h_3) → S_9
  244. Segment(R_9, S_9) → c_5
  245. Intersect(n_2, h_2) → U_9
  246. Intersect(n_3, h_3) → V_9
  247. Segment(U_9, V_9) → d_5
  248. Intersect(n_3, h_2) → W_9
  249. Intersect(n_2, h_3) → Z_9
  250. Segment(W_9, Z_9) → e_5
  251. Intersect(n_5, h_2) → A_{10}
  252. Intersect(n_6, h_3) → C_{10}
  253. Segment(A_{10}, C_{10}) → f_6
  254. Intersect(n_6, h_2) → D_{10}
  255. Intersect(n_5, h_3) → E_{10}
  256. Segment(D_{10}, E_{10}) → g_6
  257. Intersect(n_7, h_2) → I_{10}
  258. Intersect(n_8, h_3) → J_{10}
  259. Segment(I_{10}, J_{10}) → i_6
  260. Intersect(n_8, h_2) → K_{10}
  261. Intersect(n_7, h_3) → L_{10}
  262. Segment(K_{10}, L_{10}) → j_6
  263. Intersect(n_{11}, h_3) → M_{10}
  264. Segment(N_9, M_{10}) → k_6
  265. Intersect(n_9, h_3) → N_{10}
  266. Segment(M_9, N_{10}) → l_6
  267. Intersect(n_{10}, h_4) → O_{10}
  268. Segment(S_9, O_{10}) → m_6
  269. Point(n_4) → P_{10}
  270. Segment(Q_9, P_{10}) → p_6
  271. Intersect(n_3, h_4) → Q_{10}
  272. Segment(Z_9, Q_{10}) → q_6
  273. Intersect(n_2, h_4) → R_{10}
  274. Segment(V_9, R_{10}) → r_6
  275. Intersect(n_6, h_4) → S_{10}
  276. Segment(E_{10}, S_{10}) → s_6
  277. Intersect(n_5, h_4) → U_{10}
  278. Segment(C_{10}, U_{10}) → t_6
  279. Intersect(n_8, h_4) → V_{10}
  280. Segment(L_{10}, V_{10}) → a_6
  281. Intersect(n_7, h_4) → W_{10}
  282. Segment(J_{10}, W_{10}) → b_6
  283. Intersect(n_{11}, h_4) → Z_{10}
  284. Segment(N_{10}, Z_{10}) → c_6
  285. Intersect(n_9, h_4) → A_{11}
  286. Segment(M_{10}, A_{11}) → d_6
  287. Intersect(n_{10}, h_5) → C_{11}
  288. Intersect(n_4, h_5) → D_{11}
  289. Segment(O_{10}, D_{11}) → f_7
  290. Intersect(n_3, h_5) → E_{11}
  291. Segment(R_{10}, E_{11}) → g_7
  292. Intersect(n_2, h_5) → I_{11}
  293. Segment(Q_{10}, I_{11}) → i_7
  294. Intersect(n_6, h_5) → J_{11}
  295. Segment(U_{10}, J_{11}) → j_7
  296. Intersect(n_5, h_5) → K_{11}
  297. Segment(S_{10}, K_{11}) → k_7
  298. Intersect(n_8, h_5) → L_{11}
  299. Segment(W_{10}, L_{11}) → l_7
  300. Intersect(n_7, h_5) → M_{11}
  301. Segment(V_{10}, M_{11}) → m_7
  302. Intersect(n_{11}, h_5) → N_{11}
  303. Segment(A_{11}, N_{11}) → p_7
  304. Intersect(n_9, h_5) → O_{11}
  305. Segment(Z_{10}, O_{11}) → q_7
  306. Intersect(n_{10}, h_6) → P_{11}
  307. Segment(D_{11}, P_{11}) → r_7
  308. Intersect(n_4, h_6) → Q_{11}
  309. Segment(C_{11}, Q_{11}) → s_7
  310. Intersect(n_3, h_6) → R_{11}
  311. Segment(I_{11}, R_{11}) → t_7
  312. Intersect(n_2, h_6) → S_{11}
  313. Segment(E_{11}, S_{11}) → a_7
  314. Intersect(n_6, h_6) → U_{11}
  315. Segment(K_{11}, U_{11}) → b_7
  316. Point(n_5) → V_{11}
  317. Intersect(n_8, h_6) → W_{11}
  318. Segment(M_{11}, W_{11}) → d_7
  319. Intersect(n_7, h_6) → Z_{11}
  320. Segment(L_{11}, Z_{11}) → e_7
  321. Intersect(n_{11}, h_6) → A_{12}
  322. Segment(O_{11}, A_{12}) → f_8
  323. Intersect(n_9, h_6) → C_{12}
  324. Segment(N_{11}, C_{12}) → g_8
  325. Intersect(n_{10}, h_7) → D_{12}
  326. Segment(Q_{11}, D_{12}) → i_8
  327. Intersect(n_4, h_7) → E_{12}
  328. Segment(P_{11}, E_{12}) → j_8
  329. Intersect(n_3, h_7) → I_{12}
  330. Segment(S_{11}, I_{12}) → k_8
  331. Intersect(n_2, h_7) → J_{12}
  332. Segment(R_{11}, J_{12}) → l_8
  333. Intersect(n_6, h_7) → K_{12}
  334. Intersect(n_5, h_7) → L_{12}
  335. Segment(U_{11}, L_{12}) → p_8
  336. Intersect(n_8, h_7) → M_{12}
  337. Segment(Z_{11}, M_{12}) → q_8
  338. Intersect(n_7, h_7) → N_{12}
  339. Segment(W_{11}, N_{12}) → r_8
  340. Intersect(n_{11}, h_7) → O_{12}
  341. Segment(C_{12}, O_{12}) → s_8
  342. Intersect(n_9, h_7) → P_{12}
  343. Segment(A_{12}, P_{12}) → t_8
  344. Intersect(n_{10}, h_8) → Q_{12}
  345. Segment(E_{12}, Q_{12}) → a_8
  346. Intersect(n_4, h_8) → R_{12}
  347. Segment(D_{12}, R_{12}) → b_8
  348. Intersect(n_3, h_8) → S_{12}
  349. Segment(J_{12}, S_{12}) → c_8
  350. Intersect(n_2, h_8) → U_{12}
  351. Segment(I_{12}, U_{12}) → d_8
  352. Intersect(n_6, h_8) → V_{12}
  353. Segment(L_{12}, V_{12}) → e_8
  354. Intersect(n_5, h_8) → W_{12}
  355. Segment(K_{12}, W_{12}) → f_9
  356. Intersect(n_8, h_8) → Z_{12}
  357. Segment(N_{12}, Z_{12}) → g_9
  358. Intersect(n_7, h_8) → A_{13}
  359. Segment(M_{12}, A_{13}) → i_9
  360. Intersect(n_{11}, h_8) → C_{13}
  361. Segment(P_{12}, C_{13}) → j_9
  362. Intersect(n_9, h_8) → D_{13}
  363. Segment(O_{12}, D_{13}) → k_9
  364. Intersect(n_{10}, h_9) → E_{13}
  365. Segment(R_{12}, E_{13}) → l_9
  366. Intersect(n_4, h_9) → I_{13}
  367. Segment(Q_{12}, I_{13}) → m_9
  368. Intersect(n_3, h_9) → J_{13}
  369. Segment(U_{12}, J_{13}) → p_9
  370. Intersect(n_2, h_9) → K_{13}
  371. Segment(S_{12}, K_{13}) → q_9
  372. Intersect(n_6, h_9) → L_{13}
  373. Segment(W_{12}, L_{13}) → r_9
  374. Intersect(n_5, h_9) → M_{13}
  375. Segment(V_{12}, M_{13}) → s_9
  376. Intersect(n_8, h_9) → N_{13}
  377. Segment(A_{13}, N_{13}) → t_9
  378. Intersect(n_7, h_9) → O_{13}
  379. Segment(Z_{12}, O_{13}) → a_9
  380. Intersect(n_9, h_9) → Q_{13}
  381. Segment(C_{13}, Q_{13}) → c_9
  382. Intersect(n_{10}, h_{10}) → R_{13}
  383. Segment(I_{13}, R_{13}) → d_9
  384. Intersect(n_4, h_{10}) → S_{13}
  385. Segment(E_{13}, S_{13}) → e_9
  386. Intersect(n_3, h_{10}) → U_{13}
  387. Segment(K_{13}, U_{13}) → f_{10}
  388. Intersect(n_2, h_{10}) → V_{13}
  389. Segment(J_{13}, V_{13}) → g_{10}
  390. Intersect(n_6, h_{10}) → W_{13}
  391. Segment(M_{13}, W_{13}) → i_{10}
  392. Intersect(n_5, h_{10}) → Z_{13}
  393. Segment(L_{13}, Z_{13}) → j_{10}
  394. Intersect(n_8, h_{10}) → A_{14}
  395. Segment(O_{13}, A_{14}) → k_{10}
  396. Intersect(n_7, h_{10}) → C_{14}
  397. Segment(N_{13}, C_{14}) → l_{10}
  398. Intersect(n_{11}, h_{10}) → D_{14}
  399. Segment(Q_{13}, D_{14}) → m_{10}
  400. Intersect(n_9, h_{10}) → E_{14}
  401. Intersect(n_{10}, h_{11}) → F_{14}
  402. Segment(S_{13}, F_{14}) → q_{10}
  403. Intersect(n_4, h_{11}) → H_{14}
  404. Segment(R_{13}, H_{14}) → r_{10}
  405. Point(n_3) → I_{14}
  406. Point(n_2) → J_{14}
  407. Intersect(n_6, h_{11}) → K_{14}
  408. Segment(Z_{13}, K_{14}) → a_{10}
  409. Intersect(n_5, h_{11}) → L_{14}
  410. Segment(W_{13}, L_{14}) → b_{10}
  411. Point(n_8) → M_{14}
  412. Point(n_7) → N_{14}
  413. Intersect(n_{11}, h_{11}) → O_{14}
  414. Segment(E_{14}, O_{14}) → e_{10}
  415. Intersect(n_9, h_{11}) → P_{14}
  416. Segment(D_{14}, P_{14}) → f_{11}
  417. Intersect(n_5, h_6) → Q_{14}
  418. Intersect(n_6, h_5) → R_{14}
  419. Segment(Q_{14}, R_{14}) → c_7
  420. Intersect(n_6, h_7) → S_{14}
  421. Segment(Q_{14}, S_{14}) → m_8
  422. Intersect(n_9, h_8) → U_{14}
  423. Intersect(n_9, h_{10}) → W_{14}
  424. Intersect(n_7, h_{10}) → Z_{14}
  425. Intersect(n_8, h_{11}) → A_{15}
  426. Segment(Z_{14}, A_{15}) → c_{10}
  427. Intersect(n_8, h_{10}) → C_{15}
  428. Intersect(n_7, h_{11}) → D_{15}
  429. Segment(C_{15}, D_{15}) → d_{10}
  430. Intersect(n_3, h_{10}) → E_{15}
  431. Intersect(n_2, h_{11}) → F_{15}
  432. Segment(E_{15}, F_{15}) → s_{10}
  433. Intersect(n_2, h_{10}) → H_{15}
  434. Intersect(n_3, h_{11}) → I_{15}
  435. Segment(H_{15}, I_{15}) → t_{10}
  436. Intersect(n_4, h_4) → J_{15}
  437. Intersect(n_{10}, h_5) → K_{15}
  438. Segment(J_{15}, K_{15}) → e_6
  439. Intersect(n_9, h_8) → V_{14}
  440. Intersect(n_{11}, h_9) → L_{15}
  441. Segment(V_{14}, L_{15}) → b_9
  442. Intersect(n_9, h_{10}) → M_{15}
  443. Segment(L_{15}, M_{15}) → p_{10}
  444. Intersect(n_8, h_1) → N_{15}
  445. Intersect(n_9, h_2) → O_{15}
  446. Segment(N_{15}, O_{15}) → g_{11}
  447. Intersect(n_9, h_1) → P_{15}
  448. Intersect(n_8, h_2) → Q_{15}
  449. Segment(P_{15}, Q_{15}) → i_{11}
  450. Intersect(n_3, h_2) → R_{15}
  451. Intersect(n_5, h_3) → S_{15}
  452. Segment(R_{15}, S_{15}) → j_{11}
  453. Intersect(n_5, h_2) → T_{15}
  454. Intersect(n_3, h_3) → U_{15}
  455. Segment(T_{15}, U_{15}) → k_{11}
  456. Intersect(n_1, h_3) → V_{15}
  457. Point(e_6) → W_{15}
  458. Segment(V_{15}, W_{15}) → l_{11}
  459. Intersect(n_4, h_3) → Z_{15}
  460. Intersect(n_1, h_4) → A_{16}
  461. Segment(Z_{15}, A_{16}) → m_{11}
  462. Intersect(n_6, h_3) → C_{16}
  463. Intersect(n_7, h_4) → D_{16}
  464. Segment(C_{16}, D_{16}) → p_{11}
  465. Intersect(n_7, h_3) → E_{16}
  466. Intersect(n_6, h_4) → F_{16}
  467. Segment(E_{16}, F_{16}) → q_{11}
  468. Intersect(n_{10}, h_4) → G_{16}
  469. Intersect(n_2, h_5) → H_{16}
  470. Segment(G_{16}, H_{16}) → r_{11}
  471. Intersect(n_2, h_4) → I_{16}
  472. Point(e_6) → J_{16}
  473. Segment(I_{16}, J_{16}) → s_{11}
  474. Intersect(n_8, h_4) → K_{16}
  475. Intersect(n_9, h_5) → L_{16}
  476. Segment(K_{16}, L_{16}) → t_{11}
  477. Intersect(n_9, h_4) → M_{16}
  478. Intersect(n_8, h_5) → N_{16}
  479. Segment(M_{16}, N_{16}) → a_{11}
  480. Intersect(n_3, h_5) → O_{16}
  481. Intersect(n_5, h_6) → P_{16}
  482. Segment(O_{16}, P_{16}) → b_{11}
  483. Intersect(n_5, h_5) → Q_{16}
  484. Intersect(n_3, h_6) → R_{16}
  485. Segment(Q_{16}, R_{16}) → c_{11}
  486. Intersect(n_1, h_6) → S_{16}
  487. Intersect(n_4, h_7) → T_{16}
  488. Segment(S_{16}, T_{16}) → d_{11}
  489. Intersect(n_4, h_6) → U_{16}
  490. Intersect(n_1, h_7) → V_{16}
  491. Segment(U_{16}, V_{16}) → e_{11}
  492. Intersect(n_6, h_6) → W_{16}
  493. Intersect(n_7, h_7) → Z_{16}
  494. Segment(W_{16}, Z_{16}) → f_{12}
  495. Intersect(n_7, h_6) → A_{17}
  496. Intersect(n_6, h_7) → C_{17}
  497. Segment(A_{17}, C_{17}) → g_{12}
  498. Intersect(n_{10}, h_7) → D_{17}
  499. Intersect(n_2, h_8) → E_{17}
  500. Segment(D_{17}, E_{17}) → h_{12}
  501. Intersect(n_2, h_7) → F_{17}
  502. Intersect(n_{10}, h_8) → G_{17}
  503. Segment(F_{17}, G_{17}) → i_{12}
  504. Intersect(n_8, h_7) → H_{17}
  505. Point(b_9) → I_{17}
  506. Segment(H_{17}, I_{17}) → j_{12}
  507. Intersect(n_9, h_7) → J_{17}
  508. Intersect(n_8, h_8) → K_{17}
  509. Segment(J_{17}, K_{17}) → k_{12}
  510. Intersect(n_3, h_8) → L_{17}
  511. Intersect(n_5, h_9) → M_{17}
  512. Segment(L_{17}, M_{17}) → l_{12}
  513. Intersect(n_5, h_8) → N_{17}
  514. Intersect(n_3, h_9) → O_{17}
  515. Segment(N_{17}, O_{17}) → m_{12}
  516. Intersect(n_1, h_9) → P_{17}
  517. Intersect(n_4, h_{10}) → Q_{17}
  518. Segment(P_{17}, Q_{17}) → n_{12}
  519. Intersect(n_4, h_9) → R_{17}
  520. Intersect(n_1, h_{10}) → S_{17}
  521. Segment(R_{17}, S_{17}) → p_{12}
  522. Intersect(n_6, h_9) → T_{17}
  523. Point(c_{10}) → U_{17}
  524. Segment(T_{17}, U_{17}) → q_{12}
  525. Intersect(n_7, h_9) → V_{17}
  526. Intersect(n_6, h_{10}) → W_{17}
  527. Segment(V_{17}, W_{17}) → r_{12}
  528. Intersect(n_{10}, h_{10}) → Z_{17}
  529. Point(s_{10}) → A_{18}
  530. Segment(Z_{17}, A_{18}) → s_{12}
  531. Point(t_{10}) → C_{18}
  532. Intersect(n_{10}, h_{11}) → D_{18}
  533. Segment(C_{18}, D_{18}) → t_{12}
  534. Point(d_{10}) → E_{18}
  535. Intersect(n_9, h_{11}) → F_{18}
  536. Segment(E_{18}, F_{18}) → a_{12}
  537. Point(p_{10}) → G_{18}
  538. Point(c_{10}) → H_{18}
  539. Segment(G_{18}, H_{18}) → b_{12}
  540. Point(k_{11}) → I_{18}
  541. Intersect(n_5, h_4) → J_{18}
  542. Segment(I_{18}, J_{18}) → c_{12}
  543. Point(j_{11}) → K_{18}
  544. Intersect(n_3, h_4) → L_{18}
  545. Segment(K_{18}, L_{18}) → d_{12}
  546. Point(c_{11}) → M_{18}
  547. Segment(L_{18}, M_{18}) → e_{12}
  548. Point(b_{11}) → N_{18}
  549. Segment(J_{18}, N_{18}) → f_{13}
  550. Point(c_{11}) → O_{18}
  551. Intersect(n_5, h_7) → P_{18}
  552. Segment(O_{18}, P_{18}) → g_{13}
  553. Point(b_{11}) → Q_{18}
  554. Intersect(n_3, h_7) → R_{18}
  555. Segment(Q_{18}, R_{18}) → h_{13}
  556. Point(m_{12}) → S_{18}
  557. Segment(R_{18}, S_{18}) → i_{13}
  558. Point(l_{12}) → T_{18}
  559. Segment(P_{18}, T_{18}) → j_{13}
  560. Point(m_{12}) → U_{18}
  561. Intersect(n_5, h_{10}) → V_{18}
  562. Segment(U_{18}, V_{18}) → k_{13}
  563. Point(l_{12}) → W_{18}
  564. Point(s_{10}) → Z_{18}
  565. Segment(W_{18}, Z_{18}) → l_{13}
  566. Intersect(n_5, h_{11}) → A_{19}
  567. Segment(Z_{18}, A_{19}) → m_{13}
  568. Point(t_{10}) → C_{19}
  569. Segment(V_{18}, C_{19}) → n_{13}
  570. Point(a_{11}) → D_{19}
  571. Intersect(n_9, h_6) → E_{19}
  572. Segment(D_{19}, E_{19}) → p_{13}
  573. Point(t_{11}) → F_{19}
  574. Intersect(n_8, h_6) → G_{19}
  575. Segment(F_{19}, G_{19}) → q_{13}
  576. Intersect(n_6, h_8) → H_{19}
  577. Point(r_{12}) → I_{19}
  578. Segment(H_{19}, I_{19}) → r_{13}
  579. Intersect(n_7, h_8) → J_{19}
  580. Intersect(n_7, h_8) → K_{19}
  581. Point(q_{12}) → L_{19}
  582. Segment(K_{19}, L_{19}) → s_{13}
  583. Point(p_{12}) → M_{19}
  584. Intersect(n_4, h_{11}) → N_{19}
  585. Segment(M_{19}, N_{19}) → t_{13}
  586. Point(n_{12}) → O_{19}
  587. Intersect(n_1, h_{11}) → P_{19}
  588. Segment(O_{19}, P_{19}) → a_{13}