The meaning of "ancient" is always sensitive to context. "Ancient Greece" is probably around 500 BC. (More broadly, 700 BC forward.) By 500 BC, Egypt is over; it's been conquered by Persia. (It will experience a renaissance of sorts later, but will not regain self rule until the 20th century.) "New Kingdom" Egypt ends in the 11th century BC. There were Greeks at that time, but we call them "Mycenaean Greeks" - "Ancient Greeks" would refer to people from a much later period.
The Chinese are happy to refer to the Ming Dynasty (1368-1644) as "ancient" (古). Obviously there's a world of difference between that and the Spring and Autumn period (771-476), but if you need to know exactly how old whatever you're talking about is, you'll just use more specific terminology.
The Chinese are happy to refer to the Ming Dynasty (1368-1644) as "ancient" (古). Obviously there's a world of difference between that and the Spring and Autumn period (771-476), but if you need to know exactly how old whatever you're talking about is, you'll just use more specific terminology.