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 Open problem
Сообщение05.10.2010, 21:54 
Аватара пользователя
It is given convex quadrilateral and a circle k with radii r inscribed in ABCD.
Incircles radii of the triangles ABC, BCD, CDA, DAB are r_1, r_2, r_3, r_4.
a) Is it possible to find a dependency between r_1, r_2, r_3, r_4?
b) Is it possible express r in therms of r_1, r_2, r_3, r_4?
c) If a) and/or b) is true what is the dependency?

 
 
 
 Re: Open problem
Сообщение09.10.2010, 17:29 
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Is the problem boring or it is too hard?

 
 
 
 Re: Open problem
Сообщение12.10.2010, 21:08 
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I saw two Sangaku problems and a problem from Wu Wei Zao from 1999-2000 it is the reason I'm asking such questions. Probably the problem is not easy at all but for excellent mathematician it not impossible to solve.
What are your opinions and ideas?

 
 
 
 Re: Open problem
Сообщение12.10.2010, 22:51 
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http://forumgeom.fau.edu/FG2009volume9/FG200910.pdf
Can this one be useful?

 
 
 
 Re: Open problem
Сообщение13.10.2010, 00:40 
Аватара пользователя
http://www.artofproblemsolving.com/Foru ... drilateral
Or that?!

 
 
 
 Re: Open problem
Сообщение13.10.2010, 23:27 
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 !  Оформите формулы используя тег math. См. topic18634.html

 
 
 [ Сообщений: 6 ] 


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