One of the precursors of Calculus that is extraordinarily tidied and boring. It has little to do with regular Geometry in regard to it being a Mathematical Hierarchy in school.
It's mostly leftover randomonium from Trigonometry that has to be learned to take Calculus.
The only people who wind up taking this are people who could get through Geometry in the first place (which is why there are less definitions of this than regular "Geometry").
Since math is in logical form, studies of shapes are mathematical; therefore, this fits the description and anyone who says otherwise is an idiot-of-all-trades for not recognizing that (which are a lot of the definitions of "Geometry").
Guy 1: "The only math class I could take this semester that was available is Analytical Geometry."
Guy 2: "Well, I'll see ya in about ten months from now, when you pass it."