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Omar Khayyam disagreed with the geocentric model primarily due to his astronomical observations and mathematical reasoning. He believed that the complexities of celestial movements, particularly the irregularities in planetary motion, could not be adequately explained by a Earth-centered universe. Khayyam's work in refining the calendar and his understanding of the properties of the solar system led him to support a more heliocentric perspective, anticipating later developments in astronomy. His approach emphasized empirical evidence and rational analysis over traditional dogma.

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