A graphics library lets you draw shapes etc, perhaps animate them. The GDI+ in Windows for example. A computational geometry library though is a bit of a different beastie. If you want to draw geometric shapes, calculate intersections, clipping, beziers, do 2D or 3D vector arithmetic and much much more then this is what you'd need. It's what you find built into physics libraries.
Wykobi is an excellent example of a geometry library; cross platform and open source under the GPL 2.0 library. This was a conversion of a pascal library and is somewhat procedural by the authors own admission.
The image is a screen-dump from the .NET demo which shows some of what it can do. It's still early days for the library but even now it does a heck of a lot. I've added the link into the C++ code Library.
- Link to C++ Code Library
- Link to C++ Tutorials

Is a C# library available?