Visualizing Geometrical Statements with GeoView

Abstract

We describe a tool that combines a general purpose theorem prover and an o#-theshelf interface for dynamic geometry drawing to enhance man-machine interaction involving geometrical proofs. With our tool, we can edit the statements of geometrical theorems, construct and verify their proofs with the theorem prover, and visualize the statements using the drawing tool. The key component is an algorithm that computes the data needed to draw a construction from the formal statement of the theorem. The paper includes some examples of output from our combined tool, called GeoView.