In this discussion, we focus on the concurrent property of lines connected by the intersection points of the inversion of inscribed circles in Johnson solid, and the behavior of these concurrent points. At the end, we explain the relationship of these properties by the Desargues' theorem.

在這篇文章裡，我們將討論Johnson 多面體其各面內接圓對於空間中任一球體反演後的共點性質；並且觀察各共點之間的行為及關係。最後以 Desargues 定理解釋文中所提及的各項性質及其關聯性。

::Content::
Introduction
Basic preliminary
The concurrent property
Concurrent in Johnson solid
Collinear of concurrent points
Further concurrent property
Conclusion
References

::Reference::
[1] Norman W. Johnson. (1966). Convex Solids with Regular Faces. Canadian Journal of Mathematics, 18, 169 - 200.
[2] Victor A. Zalgaller. (1969). Convex Polyhedra with Regular Faces. Consultants Bureau.
[3] D. Hilbert & S. Cohn-Vossen. (1932). Geometry and the Imagination, Chelsea Publishing.
[4] Michele Audin. (2003). Geometry. Berlin: Springer-Verlag.
[5] Chia-Lang Chang. (2005). Studying Archimedean and Johnson Solids under Dynamic 3-D Geometry. Master's thesis, National Tsing Hua University, Taiwan.
[6] Yo-Hsin Chang. (2006). The classication and relationship among the geometric solids. Master's thesis, National Tsing Hua University, Taiwan.