JcsE 15, 16S3.] 



♦ KNOWLEDGE ♦ 



36^ 



fore, we must prove that tl>e remainder, H C, is cqnal to the 

 remainder, H B. This requires the e<iuality of the angles, II B C, 

 H C B. We know these angles to be equal ; therefore, li C is equal 

 to H B, and thence F H to H G ; and, since A P, A H are equal to 

 G A, A II, the angle F A H is equal to the angle G A H. It is pro- 

 bable, however, that the geometrician's being led, in this way, to 

 the equality of H B and H C, would not retrace the steps ho had 

 followed, but would immediately notice the shorter proof dci>ending 

 on the equality of B A, A H to C A, A 11 respectively. 



Thus we gather an important rule. Having tracked out, analy- 

 tically or synthetically, a complete proof of a proposition, it is well 

 before writing down tho solution to notice whether the relations 

 which have presented themselves in tho process of reasoning 

 suggest u shorter proof, or whether [any of tho steps of the 

 reasoning may be omitted, or so varied as to be reduced in number. 

 The raluo of a proof is, of course, much enhanced by brevity and 

 conciseness. 



(j^ur Cfjess Column. 



By Mephisto. 



THE TOURXAMEXT. 

 With this interesting game, played 11th June, Zukertort won the 

 first prize. 



Qveen's Pawn Opexinc. 



1. P to Q4 P to K3 



2. Kt to KB3 Kt to KB3 



3. P to K3 P to Ql 



4. B to Q3 B to K2 



5. Castles. Castles. 

 0. P to QKt3 P to B-i 

 7. B to Kt2 Kt to B3 



22. Kt to K3 P to B3 



23. P to BG ((?) K to B2 

 21. Q to Q2 P takes Kt 



25. Q takes Kt (e)Q to B sq. 



26. B takes P R to B2 (/) 

 I 27. B takes Kt Q takes B 

 ! 28. P to B7 Q to B m. 



8. QKt to Q2 P takes P (<i) ! 29. Q takes RP (g)V to K4 



9. P takes P P to QKt3 ' 30. R to B3 P to K5 



10. PtoBt B to K3 (6) 31. RtoKtS R(B2)toBsq. 



11. R to K sq. R to B sq. 32. R to KtS Q to Q2 



12. R to QB sq. Kt to lU 33. R takes R R takes R 



13. Kt to K5 B to Kt5 34. Q to R4 (h) Q takes Q 



14. P to B5 (c) B takes B 35. P takes Q R to QB sq. 



15. Kt takes B B takes Kt 36. P takes P P takes P 



16. Q takes B Kt to K5 37. K to B2 K to B2 



17. Q to K3 K to K sq. 38. K to K3 K to K3 



18. P to Ii3 Kt to KB3 , 30. K takes P P to Kt3 



19. R to B2 Kt to Q2 40. R to BG (ch) K to Q2 



20. KR to B sq. P takes P j 41. K to Q5 Resigns. 



21. P takes P Kt to Kt sq. i 



XOTES. 



(a) An early exchange of Pawns is disadvantageous for the 

 second player. 



(h) It seems that the attack by this and tho following moves 

 against the QBP does not yield the second player any advantage. 

 English likewise came to grief over it in his game with Zukertort. 



(c) Good play, it produces a decided superiority of position on 

 the Q side. 



(d) Taking advantage of the position in masterly style. 



(e) Playing the combination w^ith nnerringj accuracy. White 

 recovers tho KP with an increased attack. 



(/) If Black plays R takes P. 27. R takes E, Kt takes R. 

 28. Q to R4, and he loses a piece. 



(;)) Which practically decides the game. 



(/i) Taking it easy ! Q to Kt7 would have been more chessy. 



The week's play has been productive of some fine specimens of 

 chess skill, and some surprising — nay, we may almost say marvellous 

 — restUts. Zukertort met Tschigorin on Wednesday to decide the 

 draw pending between them. Tschigorin opened with the Evans' 

 Gambit, which he played with triumphal success against Steinitz. 

 The superior knowledge and tact in the conduct of opening which 

 Zukertort has shown all along, rightly caused him to refuse the 

 Evans (by B to Kt 3) to a player whose forte is originality. 

 Zukertort won. Curiosity was almost raised to excitement on 

 Thursday, when Zukertort had to meet Steinitz. Although 

 Zukertort was too far advanced to stand in fear of a defeat, 

 nevertheless more than usual interest was attached to this game 

 between tho hero of the past and the' champion of the future. 



Steinitz played the Ruy Lopez, lie attacked his opponent in some- 

 what wild fashion, and obtained apparently a strong game, bnt 

 Zuckertort, rallying, dispelled White's forces on tho Q's side, and 

 himself got a Pawn advanced to B 7. Steinitz effected an injudicious 

 exchange of Queens, which enabled Zukertort to win a, very hard- 

 fought game in ninety moves. Friday, Zukertort drew with 

 Winawer, but on the Saturday he won against the same oppo- 

 nent one of the best-fought games in the tournament, in which 

 Winawer showed himself at his best ; in the end ho had a clear 

 draw in hand, but missed it. Monday, again, will bo a red-letter 

 day in the annals of the tournament. Zukertort played Black- 

 bume. After about an hour's play it was already apparent that 

 the master would continue his victorions career, and at about 3.30 

 Blackburne was beaten in a smart but well-fought game, which 

 we give above. With that creditable victory Zukertort has abso- 

 lutely won tho first prize, as will bo seen from tho table below, frora 

 which the final chances of tho players in this great contest may ba 

 estimated. 



Steinitz beat English, Sellman, and Mortimer, and on Monday h& 

 drew with Rosenthal, having a fair chance for second honours. 

 Blackburne, since our last report, has only won one game, and 

 drawTi with Rosenthal. JIason, who has considerably fallen off, has- 

 also only scored one against Bird and lost one against Mackenzie. 

 Worse luck befell Winawer, who lost four games in succession to 

 Rosenthal, Noa, Zukertort, and English, almost losing his chance- 

 for a place. Rosenthal continues to do well ; he has not lost a 

 game. He won against Winawer, and drew against Mackenzie, 

 Blackburne, and Steinitz. 



Tuesday, Juno 12. — Steinitz played Mason, who adopted the 

 French Defence, and drew ; Blackburne beat Sellman ; AVinawcr 

 beat Mortimer; English drew with Tschigorin; Noa beat Bird, 

 although the latter at one timo had a won gaime. Zukertort 

 defended the Ruy Lopez against Rosenthal. The latter obtained a, 

 slight superiority, but ultimately had to yield to the victor. Th& 

 foUowirg is the position of the players after Tuesday's play : — 



Has StiU 



won. to play. 



Zukertort 22 3 



Steinitz 15 5 



Blackburne 14i 3 



Rosenthal 12 7 



Tschigorin 13 4 



Mason 12i 5 



English 12 5 



Has Still 

 won, to play. 



Mackenzie 12 5 



Bird 11 a 



Winawer 11 4 



Noa 9i 4 



Sellman SJ 4 



Mortimer 1 3 



Skipworth 3 retired. 



THE VIZAYANAGARAM TOURNAMENT. 



It will be remembered that this second tournament, for which 

 the Maharajah of Vizayanagaram provided the prize money of £200, 

 began simultaneously with tho chief tournament on April 26. As 

 might have been expected, the greater and more important contest 

 prevented the Chess world from giving tho attention and interest 

 to the second tournament, which otherwise it would have readily 

 bestowed upon it. Twenty-six plaj^ers entered the list, and tho 

 prizes, five in number, amounted to the respectable total of £200. 

 To this sum £40 was added at the conclusion of the tournament, 

 divided into four prizes. Tho tournament came to a final conclu- 

 sion on the 6th inst., when the last adjourned game was played. 



When the contest began there were two lots of J players, one for 

 day and evening play, tho other for evening play only. But this 

 rule was soon relaxed by some more active spirits, who wished to 

 do battle with each other whenever they had leisure time. The 

 committee being much engaged with the .an-angements for tho 

 major tourney, gave the minor lights great liberty of action. The 

 result being that some of the games degenerated into off-hand 

 play. 



Nevertheless, some very good games were produced, and some 

 players have come out of this tournament very much improved both 

 in play and reputation. Mr. Gunsberg startediwell until he got 

 defeated in a game undertaken out of time and turn with the Rev. 

 Mr. Newham. Tho next plaj-er who attracted attention by his 

 steady progress and good play was Mr. Fisher, who had not lost a 

 game when he scored fourteen, and had beaten MacDonnell and some 

 of the stronger players. He lost his first game to Gunsberg. In 

 the meantime, Herr von Bardeleben was quietly working his way 

 upwards, not losing a single game, and playing very steadily. Tho 

 Rev. Mr. Ranken also played remarkably well, winning every game, 

 and gained for himself the sobriquet of the " Invincible." We 

 maj' mention that Mr. Ranken took part in tho International 

 Tournament of 1851. Some of tho other players had also done 

 well, but the confidence of the public rested with the above four 

 players. 



"The second half of the Tournament witnessed some change in the 

 position of the favourites. Herr von Bardeleben clearly proved his 



