Where was the first library that let patrons borrow written materials?

I know that libraries for a long time were repositories of written knowledge (like the monastery libraries in the Middle Ages), and people could go there to read the manuscripts. But I’m curious where was the first library that allowed patrons to check out materials for a certain length of time and return them. I am not a library science major, so I don’t know if there is a name for this kind of library (something like circulation library), but wondered when and where the first one was. Thanks.

Benjamin Franklin started the first circulation library in Philadelphia. Boston had the first free public library. Actually the US has been a leader in free libraries. Most other countries do not let you wander the stacks.