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January 11th, 2011, 06:20 AM   #1
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inscribed circle center problem

As shown in the figure,
$\odot O,\;AB,\;CT \text{ are tangency to both } \odot O_1 \text{ and } \odot O_2, \; A,B,C \text{ are on } \odot O$
$\text{Show that } T \text{ the point of tangency, is the incentre of }\triangle{ABC}$
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 January 18th, 2011, 12:47 PM #2 Senior Member   Joined: Dec 2006 Posts: 167 Thanks: 3 Re: inscribed circle center problem Any ideas? thanks
 January 18th, 2011, 01:51 PM #3 Senior Member   Joined: Dec 2006 Posts: 167 Thanks: 3 Re: inscribed circle center problem I can see if $\angle TCA= \angle TCB$, then we are done. But how?
 January 19th, 2011, 05:36 PM #4 Global Moderator   Joined: Dec 2006 Posts: 20,747 Thanks: 2133 Where is this problem from?
 January 21st, 2011, 01:13 PM #5 Senior Member   Joined: Dec 2006 Posts: 167 Thanks: 3 Re: inscribed circle center problem From a Romania math forum
January 22nd, 2011, 07:36 AM   #6
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Re: inscribed circle center problem

[attachment=0:3kgq19qn]003.gif[/attachment:3kgq19qn]
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