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In this paper, we present the results of Monte Carlo simulations of atmospheric showers induced by diffuse gamma rays as detected by the high-energy gamma ray astronomy (HEGRA) system of five imaging atmospheric Cerenkov telescopes (IACTs). We have investigated the sensitivity of observations on extended gamma ray emission over the entire field of view of the instrument. We discuss a technique to search for extended gamma ray sources within the field of view of the instrument. We give estimates for HEGRA sensitivity of observations on extended TeV gamma ray sources.

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