Translation:A small hospital
I was living near 九州大学 10 years back and was going to dermatology clinic regularly. It was called 皮膚科クリニック. If I hear 病院 then it would be something like 九州大学病院. The size has to be a building with several floors in order to qualify as 病院.
I looked through google map around Kitakyushu and found a couple of small ones named with 病院. Even though the naming is 病院 I would actually call them クリニック. For big clinics having several functions (not just GP), then it is mostly called 医院 (sized like a house).
From Wikipedia https://ja.wikipedia.org/wiki/%E7%97%85%E9%99%A2
There are single-function clinics called 病院 that are several stories in height, one in particular that I'd gone to more than ten years ago for a damaged nerve. Funny, I don't recall a ward (病棟) there, though I probably never saw the upper stories. I've never heard 医院 or クリニック in conversation except in names, always 病院 or just 医者 . . .
Wikipedia's Hospital has "Hospitals have a range of departments . . ." so I still say hospital is more like 総合病院, or general hospital . . .
I probably know what's the gap. When people say 病院に行く it really means to see a doctor, not necessarily going to the hospital. But when coming to the definition of a medical facility, there is a clear guide on what is qualified to be called 病院 or not. 総合病院 is a bigger one with at least 100 beds
Something like ご飯を食べる - it doesn't really mean eat rice but if we are talking about the types of food you don't say ラーメン as ご飯
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There are two variations on the adjective small - one, ちいさい, is a "true" or "i" adjective - it can modify/describe nouns directly - ちいさい くるま - A small car. ちいさ (な) is a "na" adjective - it cannot modify/describe nouns directly ちいさな ケーキ - a small cake. な helps it to modify/describe nouns.