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The geometry stage which performs the transformation and lighting operations of vertices, has become the critical part in the 3D graphics pipeline. We have designed the FGA (FLOVA Geometry Accelerator) that is the 3D geometry graphics system and it almost removes the time required for the process geometry stage. The 3D graphics library, FGA-GL, supports the FGA system. The deferred primitive rendering algorithm of FGA-GL enables the geometry processing of the primitive data to be done concurrently with the host job such as primitive data management or game AI. FGA improves the average performance of the 3D graphics system by 2.5-3.0 times.