On October 16, 2003, at 1715 mountain daylight time, a Cessna 210G, N5915F, was substantially damaged during a gear-up landing at Meeker Airport (EEO), Meeker, Colorado. The private pilot and his three passengers were not injured. Visual meteorological conditions prevailed for the cross-country flight being conducted under the provisions of Title 14 CFR Part 91. The flight departed Grand Island, Nebraska, at 1430 under an instrument flight rules flight plan. According to the pilot, he was descending from 10,000 feet msl, preparing to land on runway 21. He stated that he extended 10 degrees of flaps to slow the airplane down. The pilot said it was at this time that he would normally extend the landing gear. A checklist was available and used; however, he "failed to lower the landing gear." When the pilot flared for landing, the gear warning horn sounded but he failed to recognize the significance of the horn. During the wheels-up landing, the left wing drug on the runway. The propeller blades were bent, the left aileron rib was bent, the left fiberglass wingtip was fractured, and the bottom of the fuselage received minor skin damage. An examination of the airplane's systems revealed no anomalies.