The framing of this questions sets up the idea that the two are exclusive, or at least normally not mixed, which is not true at all. As I mentioned in my initial reply, there is analytic geometry, which is literally the combination of the two. But you could also take Minkowski space for example, or *n*-manifolds in general, in which algebra is an important part of. Geometric concepts also are important in many areas of analysis (such as vector and tensor analysis). You can't really separate out different fields of mathematics so easily, is the point. For example, even bringing Calculus into the mix is just bringing a set of tools built on top of algebraic ideas. Or you can come at it from the other direction, taking Real Analysis as another example, and construct the fundamentals of algebra using more generalized ideas like sets and groups. But again, many of these ideas are also applicable in geometry.