Abstract
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.
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References
J. F. Rigby,Pappus Lines and Leisenring Lines, Journal of Geometry,21(1983), 108–117.
Wu Wen-tsün,Basic Principles of Mechanical Theorem Proving in Elementary Geometries, J. Sys. Sec. & Math. Sci.,4(1984), 207–235.
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.
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Wang, D. A new theorem discovered by computer prover. J Geom 36, 173–182 (1989). https://doi.org/10.1007/BF01231031
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DOI: https://doi.org/10.1007/BF01231031