The ruse of using the Hindu Shuffle to apparently show different cards, but secretly showing the same card repeatedly can be found in Theodore Annemann's "Color Changing Deck", included in a privately issued typescript manuscript, titled Exclusive Secrets of Annemann's Conception, by Frank Lane in 1932. Annemann applied the idea to show one card as multiple cards having backs of one color.
The technique was later used with the faces of cards to show apparent duplicate cards in Jack Chanin's “Seven in One” card routine from Further Adventures of the Seven in One, 1938, p. 11. Advertisements for Chanin's booklet began appearing in April of 1938 (see The Linking Ring, Vol. 28 No. 2, Apr. 1938, p. 142). The following month, Harris Solomon suggested the same ploy in his trick “Nomolos” in The Jinx, No. 44, May 1938, pp. 301 & 303.
Also see Flushtration Count.