Journal of Geometry

, Volume 36, Issue 1–2, pp 173–182 | Cite as

A new theorem discovered by computer prover

  • Dongming Wang


Concerning Pappus lines and Leisenring lines there is a set of interesting theorems given in [1]. In this paper, we show that these theorems can be easily proved by our computer prover which is implemented on the basis of Wu's method for mechanical theorem proving in geometries. Using this prover we discovered, furthermore, a new theorem: The six intersection points of every Pappus line and its corresponding Leisenring line are collinear.


Intersection Point Theorem Prove Mechanical Theorem Mechanical Theorem Prove Interesting Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    J. F. Rigby,Pappus Lines and Leisenring Lines, Journal of Geometry,21(1983), 108–117.Google Scholar
  2. [2]
    Wu Wen-tsün,Basic Principles of Mechanical Theorem Proving in Elementary Geometries, J. Sys. Sec. & Math. Sci.,4(1984), 207–235.Google Scholar
  3. [3]
    Wang Dongming & Hu Sen,A Mechanical Proving System for Constructible Theorems in Elementary Geometry (in Chinese), J. Sys. Sci. & Math. Scis.,7(1987), 163–172.Google Scholar

Copyright information

© Birkhäuser Verlag 1989

Authors and Affiliations

  • Dongming Wang
    • 1
  1. 1.Institute of Systems ScienceAcademia SinicaBeijingChina

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