The word "eying" refers to the act of looking at something intently or examining it carefully. Some synonyms for "eying" include "gazing", "observing", "scrutinizing", "surveying", "examining", "inspecting", "studying", "perusing", and "contemplating". Each of these words carries a slightly different connotation, but they all involve some degree of focused examination. For example, "gazing" implies a more prolonged or intense stare, while "inspecting" suggests a more thorough investigation or assessment. Regardless of the specific synonym used, they all relate to the act of looking closely or deliberately, indicating a deliberate intention to understand or learn something.