This was something that tripped me up when I first started university math courses. In more elementary courses, concepts are few and simple enough that you have

This was something that tripped me up when I first started university math courses. In more elementary courses, concepts are few and simple enough that you have a fairly consistent set of terminology that applies everywhere. Then I cracked open Spivak's and other higher-level textbooks, and each one is defining its own mutually-incoherent terminology. It took a bit of adjusting, but local terminology is a lot more readable than if everybody tried to use universally-unambiguous language.