The Greek word for earth description is geography This was coined by?

The Greek word for "earth description" is indeed γεωγραφία (geographia), and it was coined by Eratosthenes of Cyrene (c. 276 – 194 BC).

Eratosthenes was a Greek scholar, mathematician, astronomer, poet, and geographer. He is considered the father of geography for his work on mapping the world and calculating the circumference of the Earth. He was the first to use the term "geographia" in his book of the same name.