Between 22-31 July 1932 he took part in the 3rd International Air Meeting in Zurich (or "Alpen rally"), flying a prototype fighter PZL P.11, and he came second (the first place of the Yugoslavian pilot was debated, because of using additions for fuel).
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In 1931 Bajan won an aerobatic contest during an air meeting in Zagreb.
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Along with Karol Pniak and Corporal Macek he formed the first aerobatic team in Poland, so-called "Bajan's trio".
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He also was a co-founder of the Polish Gliding Club at Lasham.
Jerzy Grotowski | Stanisław Jerzy Lec | Jerzy Skolimowski | Jerzy Buzek | Adam Jerzy Czartoryski | Jerzy Wasowski | Jerzy Stuhr | Jerzy Neyman | Jerzy Kosiński | Jerzy Bończak | Jerzy Żuławski | Jerzy Maksymiuk | Jerzy Różycki | Jerzy Kukuczka | Jerzy Kosinski | Jerzy Kłoczowski | Jerzy Kawalerowicz | Jerzy Hoffman | Stefan Jerzy Zweig | Michał Jerzy Poniatowski | Jerzy Ziętek | Jerzy Zaruba | Jerzy Waldorff | Jerzy Treder | Jerzy Strzelczyk | Jerzy Sterczyński | Jerzy Rzedowski | Jerzy Robert Nowak | Jerzy Popiełuszko | Jerzy Petersburski |