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<p>JGEX is a software which combines dynamic geometry software (DGS), automated geometry theorem prover (GTP) and our approach for visually dynamic presentation of proofs. As a dynamic geometry software, JGEX can be used to build dynamic visual models to assist teaching and learning of various mathematical concepts. As an automated reasoning software, we can build dynamic logic models which can do reasoning themselves. As a tool for dynamic presentation of proofs, JGEX is a valuable for teachers and students to write and present proofs of geometry theorems with various dynamic visual effects.</p>
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<li>JGEX is a powerful software for <em>geometric reasoning</em>. Within its domain, it invites comparison with the best of human geometry provers. It implements most of the effective methods for geometric reasoning introduced in the past twenty years, including the deductive base method, Wu's method, and the full-angle method, etc. With these methods, users may automated prove geometry theorems, to discover new properties of theorems, and to generate readable proofs for many geometry theorems. </li>
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<p align="center" class="codelisting STYLE1">By a dynamic geometry we simply mean a study of the parts of space andtheir relations to one another while they are in motion and changing.</p>
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<p> The drawing part of JGEX allows the user to construct the diagram interactively and manipulate the diagram in a dynamic way, so JGEX is first a DGS. Starting from free points, the user can create elements which is dependent on existed elements. With the mouse, the user can place points, draw lines, introduce marks, etc. In this way, the diagram is constructed step by step. Much more important is the fact that the user can explore the dynamic nature of the diagram. The user can drag part of the diagram with mouse and see immediately how the diagram changes accordingly. However, JGEX has its distinctive features comparing to the three commercial geometry drawing systems.</p>
<h3>3. A Tool for Visual Presentation of Proofs <aname="vpp"id="vpp"></a></h3>
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<p>The part of visual presentation of proofs makes JGEX most distinctive from other geometry drawing systems on one side, and from other geometry reasoning systems, including our previous versions of GEX, on the other side. It is based on our work on automated generation of readable proofs and on our approach to geometric drawing.</p>
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<p>However, as a first step, instead of automated generation of visual presentations of proofs, we implement the manual input method for creating visual presentations of proofs. This gives us first-hand experience with the approach we propose. It is also an important preparation for our future work on the proof checker. Especially, we have a collection of over 100 examples created manually with JGEX. We collect mainly those examples that do not mix algebraic expressions or computations with the geometry diagrams.</p>
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