The billiard ball problem solved by the ancient Chinese concept of pairing

Author(s):  
Joseph Newmark ◽  
I‐Chen Chang
1982 ◽  
Vol 2 (3-4) ◽  
pp. 397-403 ◽  
Author(s):  
John N. Mather

AbstractConsider the billiard ball problem in an open, convex, bounded region of the plane whose boundary is C2 and has at least one point of zero curvature. Then there are trajectories which come arbitrarily close to being positively tangent to the boundary and also come arbitrarily close to being negatively tangent to the boundary.


2020 ◽  
pp. 109-115
Author(s):  
Partha Ghose ◽  
Dipankar Home
Keyword(s):  

2016 ◽  
Vol 62 ◽  
pp. 23-39
Author(s):  
Gi-seb Ahn ◽  
Sheng-im Jeng ◽  
Eun-hee Kim
Keyword(s):  

1966 ◽  
Vol 12 (2) ◽  
pp. 46
Author(s):  
Reginald O. Kapp

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