Online compendium of solutions to Wernick's problems in Euclidean geometry
Statuses of all problems: S (s) denotes that the problem is solvable and its solution is given, S (ns) denotes that the problem is proved solvable but its solution is not given, L that the problem is locus dependent, R that the problem is redundant, while U denotes that the problem is unsolvable.
1. A, B, C S (s) |
2. A, B, O L |
3. A, B, Ma S (s) |
4. A, B, Mb S (s) |
5. A, B, Mc R |
6. A, B, G S (s) |
7. A, B, Ha L |
8. A, B, Hb L |
9. A, B, Hc L |
10. A, B, H S (s) |
11. A, B, Ta S (s) |
12. A, B, Tb S (s) |
13. A, B, Tc L |
14. A, B, I S (s) |
15. A, C, O L |
16. A, C, Ma S (s) |
17. A, C, Mb R |
18. A, C, Mc S (s) |
19. A, C, G S (s) |
20. A, C, Ha L |
21. A, C, Hb L |
22. A, C, Hc L |
23. A, C, H S (s) |
24. A, C, Ta S (s) |
25. A, C, Tb L |
26. A, C, Tc S (s) |
27. A, C, I S (s) |
28. A, O, Ma S (s) |
29. A, O, Mb L |
30. A, O, Mc L |
31. A, O, G S (s) |
32. A, O, Ha S (s) |
33. A, O, Hb S (s) |
34. A, O, Hc S (s) |
35. A, O, H S (s) |
36. A, O, Ta S (s) |
37. A, O, Tb S (s) |
38. A, O, Tc S (s) |
39. A, O, I S (s) |
40. A, Ma, Mb S (s) |
41. A, Ma, Mc S (s) |
42. A, Ma, G R |
43. A, Ma, Ha L |
44. A, Ma, Hb S (s) |
45. A, Ma, Hc S (s) |
46. A, Ma, H S (s) |
47. A, Ma, Ta S (s) |
48. A, Ma, Tb U |
49. A, Ma, Tc U |
50. A, Ma, I S (s) |
51. A, Mb, Mc S (s) |
52. A, Mb, G S (s) |
53. A, Mb, Ha L |
54. A, Mb, Hb L |
55. A, Mb, Hc L |
56. A, Mb, H S (s) |
57. A, Mb, Ta S (s) |
58. A, Mb, Tb L |
59. A, Mb, Tc S (s) |
60. A, Mb, I S (s) |
61. A, Mc, G S (s) |
62. A, Mc, Ha L |
63. A, Mc, Hb L |
64. A, Mc, Hc L |
65. A, Mc, H S (s) |
66. A, Mc, Ta S (s) |
67. A, Mc, Tb S (s) |
68. A, Mc, Tc L |
69. A, Mc, I S (s) |
70. A, G, Ha L |
71. A, G, Hb S (s) |
72. A, G, Hc S (s) |
73. A, G, H S (s) |
74. A, G, Ta S (s) |
75. A, G, Tb U |
76. A, G, Tc U |
77. A, G, I S (s) |
78. A, Ha, Hb S (s) |
79. A, Ha, Hc S (s) |
80. A, Ha, H L |
81. A, Ha, Ta L |
82. A, Ha, Tb S (s) |
83. A, Ha, Tc S (s) |
84. A, Ha, I S (s) |
85. A, Hb, Hc S (s) |
86. A, Hb, H L |
87. A, Hb, Ta S (s) |
88. A, Hb, Tb L |
89. A, Hb, Tc S (s) |
90. A, Hb, I S (s) |
91. A, Hc, H L |
92. A, Hc, Ta S (s) |
93. A, Hc, Tb S (s) |
94. A, Hc, Tc L |
95. A, Hc, I S (s) |
96. A, H, Ta S (s) |
97. A, H, Tb U |
98. A, H, Tc U |
99. A, H, I S (ns) |
100. A, Ta, Tb S (s) |
101. A, Ta, Tc S (s) |
102. A, Ta, I L |
103. A, Tb, Tc S (s) |
104. A, Tb, I S (s) |
105. A, Tc, I S (s) |
106. B, C, O L |
107. B, C, Ma R |
108. B, C, Mb S (s) |
109. B, C, Mc S (s) |
110. B, C, G S (s) |
111. B, C, Ha L |
112. B, C, Hb L |
113. B, C, Hc L |
114. B, C, H S (s) |
115. B, C, Ta L |
116. B, C, Tb S (s) |
117. B, C, Tc S (s) |
118. B, C, I S (s) |
119. B, O, Ma L |
120. B, O, Mb S (s) |
121. B, O, Mc L |
122. B, O, G S (s) |
123. B, O, Ha S (s) |
124. B, O, Hb S (s) |
125. B, O, Hc S (s) |
126. B, O, H S (s) |
127. B, O, Ta S (s) |
128. B, O, Tb S (s) |
129. B, O, Tc S (s) |
130. B, O, I S (s) |
131. B, Ma, Mb S (s) |
132. B, Ma, Mc S (s) |
133. B, Ma, G S (s) |
134. B, Ma, Ha L |
135. B, Ma, Hb L |
136. B, Ma, Hc L |
137. B, Ma, H S (s) |
138. B, Ma, Ta L |
139. B, Ma, Tb S (s) |
140. B, Ma, Tc S (s) |
141. B, Ma, I S (s) |
142. B, Mb, Mc S (s) |
143. B, Mb, G R |
144. B, Mb, Ha S (s) |
145. B, Mb, Hb L |
146. B, Mb, Hc S (s) |
147. B, Mb, H S (s) |
148. B, Mb, Ta U |
149. B, Mb, Tb S (s) |
150. B, Mb, Tc U |
151. B, Mb, I S (s) |
152. B, Mc, G S (s) |
153. B, Mc, Ha L |
154. B, Mc, Hb L |
155. B, Mc, Hc L |
156. B, Mc, H S (s) |
157. B, Mc, Ta S (s) |
158. B, Mc, Tb S (s) |
159. B, Mc, Tc L |
160. B, Mc, I S (s) |
161. B, G, Ha S (s) |
162. B, G, Hb L |
163. B, G, Hc S (s) |
164. B, G, H S (s) |
165. B, G, Ta U |
166. B, G, Tb S (s) |
167. B, G, Tc U |
168. B, G, I S (s) |
169. B, Ha, Hb S (s) |
170. B, Ha, Hc S (s) |
171. B, Ha, H L |
172. B, Ha, Ta L |
173. B, Ha, Tb S (s) |
174. B, Ha, Tc S (s) |
175. B, Ha, I S (s) |
176. B, Hb, Hc S (s) |
177. B, Hb, H L |
178. B, Hb, Ta S (s) |
179. B, Hb, Tb L |
180. B, Hb, Tc S (s) |
181. B, Hb, I S (s) |
182. B, Hc, H L |
183. B, Hc, Ta S (s) |
184. B, Hc, Tb S (s) |
185. B, Hc, Tc L |
186. B, Hc, I S (s) |
187. B, H, Ta U |
188. B, H, Tb S (s) |
189. B, H, Tc U |
190. B, H, I S (ns) |
191. B, Ta, Tb S (s) |
192. B, Ta, Tc U |
193. B, Ta, I S (s) |
194. B, Tb, Tc S (s) |
195. B, Tb, I L |
196. B, Tc, I S (s) |
197. C, O, Ma L |
198. C, O, Mb L |
199. C, O, Mc S (s) |
200. C, O, G S (s) |
201. C, O, Ha S (s) |
202. C, O, Hb S (s) |
203. C, O, Hc S (s) |
204. C, O, H S (s) |
205. C, O, Ta S (s) |
206. C, O, Tb S (s) |
207. C, O, Tc S (s) |
208. C, O, I S (s) |
209. C, Ma, Mb S (s) |
210. C, Ma, Mc S (s) |
211. C, Ma, G S (s) |
212. C, Ma, Ha L |
213. C, Ma, Hb L |
214. C, Ma, Hc L |
215. C, Ma, H S (s) |
216. C, Ma, Ta L |
217. C, Ma, Tb S (s) |
218. C, Ma, Tc S (s) |
219. C, Ma, I S (s) |
220. C, Mb, Mc S (s) |
221. C, Mb, G S (s) |
222. C, Mb, Ha L |
223. C, Mb, Hb L |
224. C, Mb, Hc L |
225. C, Mb, H S (s) |
226. C, Mb, Ta S (s) |
227. C, Mb, Tb L |
228. C, Mb, Tc S (s) |
229. C, Mb, I S (s) |
230. C, Mc, G R |
231. C, Mc, Ha S (s) |
232. C, Mc, Hb S (s) |
233. C, Mc, Hc L |
234. C, Mc, H S (s) |
235. C, Mc, Ta U |
236. C, Mc, Tb U |
237. C, Mc, Tc S (s) |
238. C, Mc, I S (s) |
239. C, G, Ha S (s) |
240. C, G, Hb S (s) |
241. C, G, Hc L |
242. C, G, H S (s) |
243. C, G, Ta U |
244. C, G, Tb U |
245. C, G, Tc S (s) |
246. C, G, I S (s) |
247. C, Ha, Hb S (s) |
248. C, Ha, Hc S (s) |
249. C, Ha, H L |
250. C, Ha, Ta L |
251. C, Ha, Tb S (s) |
252. C, Ha, Tc S (s) |
253. C, Ha, I S (s) |
254. C, Hb, Hc S (s) |
255. C, Hb, H L |
256. C, Hb, Ta S (s) |
257. C, Hb, Tb L |
258. C, Hb, Tc S (s) |
259. C, Hb, I S (s) |
260. C, Hc, H L |
261. C, Hc, Ta S (s) |
262. C, Hc, Tb S (s) |
263. C, Hc, Tc L |
264. C, Hc, I S (s) |
265. C, H, Ta U |
266. C, H, Tb U |
267. C, H, Tc S (s) |
268. C, H, I S (ns) |
269. C, Ta, Tb U |
270. C, Ta, Tc S (s) |
271. C, Ta, I S (s) |
272. C, Tb, Tc S (s) |
273. C, Tb, I S (s) |
274. C, Tc, I L |
275. O, Ma, Mb S (s) |
276. O, Ma, Mc S (s) |
277. O, Ma, G S (s) |
278. O, Ma, Ha L |
279. O, Ma, Hb S (s) |
280. O, Ma, Hc S (s) |
281. O, Ma, H S (s) |
282. O, Ma, Ta L |
283. O, Ma, Tb U |
284. O, Ma, Tc U |
285. O, Ma, I S (ns) |
286. O, Mb, Mc S (s) |
287. O, Mb, G S (s) |
288. O, Mb, Ha S (s) |
289. O, Mb, Hb L |
290. O, Mb, Hc S (s) |
291. O, Mb, H S (s) |
292. O, Mb, Ta U |
293. O, Mb, Tb L |
294. O, Mb, Tc U |
295. O, Mb, I S (ns) |
296. O, Mc, G S (s) |
297. O, Mc, Ha S (s) |
298. O, Mc, Hb S (s) |
299. O, Mc, Hc L |
300. O, Mc, H S (s) |
301. O, Mc, Ta U |
302. O, Mc, Tb U |
303. O, Mc, Tc L |
304. O, Mc, I S (ns) |
305. O, G, Ha S (s) |
306. O, G, Hb S (s) |
307. O, G, Hc S (s) |
308. O, G, H R |
309. O, G, Ta U |
310. O, G, Tb U |
311. O, G, Tc U |
312. O, G, I U |
313. O, Ha, Hb U |
314. O, Ha, Hc U |
315. O, Ha, H S (s) |
316. O, Ha, Ta S (ns) |
317. O, Ha, Tb U |
318. O, Ha, Tc U |
319. O, Ha, I U |
320. O, Hb, Hc U |
321. O, Hb, H S (s) |
322. O, Hb, Ta U |
323. O, Hb, Tb S (ns) |
324. O, Hb, Tc U |
325. O, Hb, I U |
326. O, Hc, H S (s) |
327. O, Hc, Ta U |
328. O, Hc, Tb U |
329. O, Hc, Tc S (ns) |
330. O, Hc, I U |
331. O, H, Ta U |
332. O, H, Tb U |
333. O, H, Tc U |
334. O, H, I U |
335. O, Ta, Tb U |
336. O, Ta, Tc U |
337. O, Ta, I S (ns) |
338. O, Tb, Tc U |
339. O, Tb, I S (ns) |
340. O, Tc, I S (ns) |
341. Ma, Mb, Mc S (s) |
342. Ma, Mb, G S (s) |
343. Ma, Mb, Ha S (s) |
344. Ma, Mb, Hb S (s) |
345. Ma, Mb, Hc S (s) |
346. Ma, Mb, H S (ns) |
347. Ma, Mb, Ta U |
348. Ma, Mb, Tb U |
349. Ma, Mb, Tc U |
350. Ma, Mb, I U |
351. Ma, Mc, G S (s) |
352. Ma, Mc, Ha S (s) |
353. Ma, Mc, Hb S (s) |
354. Ma, Mc, Hc S (s) |
355. Ma, Mc, H S (ns) |
356. Ma, Mc, Ta U |
357. Ma, Mc, Tb U |
358. Ma, Mc, Tc U |
359. Ma, Mc, I U |
360. Ma, G, Ha L |
361. Ma, G, Hb S (s) |
362. Ma, G, Hc S (s) |
363. Ma, G, H S (s) |
364. Ma, G, Ta S (s) |
365. Ma, G, Tb U |
366. Ma, G, Tc U |
367. Ma, G, I S (s) |
368. Ma, Ha, Hb S (s) |
369. Ma, Ha, Hc S (s) |
370. Ma, Ha, H L |
371. Ma, Ha, Ta L |
372. Ma, Ha, Tb U |
373. Ma, Ha, Tc U |
374. Ma, Ha, I S (s) |
375. Ma, Hb, Hc L |
376. Ma, Hb, H S (s) |
377. Ma, Hb, Ta S (s) |
378. Ma, Hb, Tb S (s) |
379. Ma, Hb, Tc U |
380. Ma, Hb, I U |
381. Ma, Hc, H S (s) |
382. Ma, Hc, Ta S (s) |
383. Ma, Hc, Tb U |
384. Ma, Hc, Tc S (s) |
385. Ma, Hc, I U |
386. Ma, H, Ta S (ns) |
387. Ma, H, Tb U |
388. Ma, H, Tc U |
389. Ma, H, I U |
390. Ma, Ta, Tb U |
391. Ma, Ta, Tc U |
392. Ma, Ta, I S (s) |
393. Ma, Tb, Tc U |
394. Ma, Tb, I U |
395. Ma, Tc, I U |
396. Mb, Mc, G S (s) |
397. Mb, Mc, Ha S (s) |
398. Mb, Mc, Hb S (s) |
399. Mb, Mc, Hc S (s) |
400. Mb, Mc, H S (ns) |
401. Mb, Mc, Ta U |
402. Mb, Mc, Tb U |
403. Mb, Mc, Tc U |
404. Mb, Mc, I U |
405. Mb, G, Ha S (s) |
406. Mb, G, Hb L |
407. Mb, G, Hc S (s) |
408. Mb, G, H S (s) |
409. Mb, G, Ta U |
410. Mb, G, Tb S (s) |
411. Mb, G, Tc U |
412. Mb, G, I S (s) |
413. Mb, Ha, Hb S (s) |
414. Mb, Ha, Hc L |
415. Mb, Ha, H S (s) |
416. Mb, Ha, Ta S (s) |
417. Mb, Ha, Tb S (s) |
418. Mb, Ha, Tc U |
419. Mb, Ha, I U |
420. Mb, Hb, Hc S (s) |
421. Mb, Hb, H L |
422. Mb, Hb, Ta U |
423. Mb, Hb, Tb L |
424. Mb, Hb, Tc U |
425. Mb, Hb, I S (s) |
426. Mb, Hc, H S (s) |
427. Mb, Hc, Ta U |
428. Mb, Hc, Tb S (s) |
429. Mb, Hc, Tc S (s) |
430. Mb, Hc, I U |
431. Mb, H, Ta U |
432. Mb, H, Tb S (ns) |
433. Mb, H, Tc U |
434. Mb, H, I U |
435. Mb, Ta, Tb U |
436. Mb, Ta, Tc U |
437. Mb, Ta, I U |
438. Mb, Tb, Tc U |
439. Mb, Tb, I S (s) |
440. Mb, Tc, I U |
441. Mc, G, Ha S (s) |
442. Mc, G, Hb S (s) |
443. Mc, G, Hc L |
444. Mc, G, H S (s) |
445. Mc, G, Ta U |
446. Mc, G, Tb U |
447. Mc, G, Tc S (s) |
448. Mc, G, I S (s) |
449. Mc, Ha, Hb L |
450. Mc, Ha, Hc S (s) |
451. Mc, Ha, H S (s) |
452. Mc, Ha, Ta S (s) |
453. Mc, Ha, Tb U |
454. Mc, Ha, Tc S (s) |
455. Mc, Ha, I U |
456. Mc, Hb, Hc S (s) |
457. Mc, Hb, H S (s) |
458. Mc, Hb, Ta U |
459. Mc, Hb, Tb S (s) |
460. Mc, Hb, Tc S (s) |
461. Mc, Hb, I U |
462. Mc, Hc, H L |
463. Mc, Hc, Ta U |
464. Mc, Hc, Tb U |
465. Mc, Hc, Tc L |
466. Mc, Hc, I S (s) |
467. Mc, H, Ta U |
468. Mc, H, Tb U |
469. Mc, H, Tc S (ns) |
470. Mc, H, I U |
471. Mc, Ta, Tb U |
472. Mc, Ta, Tc U |
473. Mc, Ta, I U |
474. Mc, Tb, Tc U |
475. Mc, Tb, I U |
476. Mc, Tc, I S (s) |
477. G, Ha, Hb U |
478. G, Ha, Hc U |
479. G, Ha, H S (s) |
480. G, Ha, Ta S (s) |
481. G, Ha, Tb U |
482. G, Ha, Tc U |
483. G, Ha, I S (ns) |
484. G, Hb, Hc U |
485. G, Hb, H S (s) |
486. G, Hb, Ta U |
487. G, Hb, Tb S (s) |
488. G, Hb, Tc U |
489. G, Hb, I S (ns) |
490. G, Hc, H S (s) |
491. G, Hc, Ta U |
492. G, Hc, Tb U |
493. G, Hc, Tc S (s) |
494. G, Hc, I S (ns) |
495. G, H, Ta U |
496. G, H, Tb U |
497. G, H, Tc U |
498. G, H, I U |
499. G, Ta, Tb U |
500. G, Ta, Tc U |
501. G, Ta, I U |
502. G, Tb, Tc U |
503. G, Tb, I U |
504. G, Tc, I U |
505. Ha, Hb, Hc S (s) |
506. Ha, Hb, H S (s) |
507. Ha, Hb, Ta S (s) |
508. Ha, Hb, Tb S (s) |
509. Ha, Hb, Tc U |
510. Ha, Hb, I U |
511. Ha, Hc, H S (s) |
512. Ha, Hc, Ta S (s) |
513. Ha, Hc, Tb U |
514. Ha, Hc, Tc S (s) |
515. Ha, Hc, I U |
516. Ha, H, Ta L |
517. Ha, H, Tb U |
518. Ha, H, Tc U |
519. Ha, H, I S (ns) |
520. Ha, Ta, Tb U |
521. Ha, Ta, Tc U |
522. Ha, Ta, I S (s) |
523. Ha, Tb, Tc U |
524. Ha, Tb, I U |
525. Ha, Tc, I U |
526. Hb, Hc, H S (s) |
527. Hb, Hc, Ta U |
528. Hb, Hc, Tb S (s) |
529. Hb, Hc, Tc S (s) |
530. Hb, Hc, I U |
531. Hb, H, Ta U |
532. Hb, H, Tb L |
533. Hb, H, Tc U |
534. Hb, H, I S (ns) |
535. Hb, Ta, Tb U |
536. Hb, Ta, Tc U |
537. Hb, Ta, I U |
538. Hb, Tb, Tc U |
539. Hb, Tb, I S (s) |
540. Hb, Tc, I U |
541. Hc, H, Ta U |
542. Hc, H, Tb U |
543. Hc, H, Tc L |
544. Hc, H, I S (ns) |
545. Hc, Ta, Tb U |
546. Hc, Ta, Tc U |
547. Hc, Ta, I U |
548. Hc, Tb, Tc U |
549. Hc, Tb, I U |
550. Hc, Tc, I S (s) |
551. H, Ta, Tb U |
552. H, Ta, Tc U |
553. H, Ta, I S (ns) |
554. H, Tb, Tc U |
555. H, Tb, I S (ns) |
556. H, Tc, I S (ns) |
557. Ta, Tb, Tc U |
558. Ta, Tb, I S (s) |
559. Ta, Tc, I S (s) |
560. Tb, Tc, I S (s) |
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