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Subject: "Cyclic Touching Circles Around Triangle"     Previous Topic | Next Topic
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Conferences The CTK Exchange College math Topic #735
Reading Topic #735, reply 0
Bui Quang Tuan
Member since Jun-23-07
 Jul-23-10, 09:49 AM (EST)
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"Cyclic Touching Circles Around Triangle"
 
   Dear All My Friends,

In the triangle ABC we select one direction, say A to B to C to A to B...
At vertex A: construct a circle (A1) touching 2 lines of vertex A
At vertex B: construct a circle (B1) touching 2 lines of vertex B and sharing with (A1) one touching point.
At vertex C: construct a circle (C1) touching 2 lines of vertex C and sharing with (B1) one touching point.
Again at vertex A...

Generally, at one vertex, we construct a circle touching 2 lines of the vertex and sharing with previous constructed circle one touching point.

Please prove that the process is stop after construction of six circles and all touching point are concyclic!

Best regards,
Bui Quang Tuan


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  Subject     Author     Message Date     ID  
Cyclic Touching Circles Around Triangle Bui Quang Tuan Jul-23-10 TOP
   RE: Cyclic Touching Circles Around Triangle alexbadmin Jul-23-10 1
      RE: Cyclic Touching Circles Around Triangle Bui Quang Tuan Jul-23-10 2
          RE: Cyclic Touching Circles Around Triangle alexbadmin Jul-23-10 3
          RE: Cyclic Touching Circles Around Triangle alexbadmin Jul-23-10 4
              RE: Cyclic Touching Circles Around Triangle Bui Quang Tuan Jul-24-10 5
                  RE: Cyclic Touching Circles Around Triangle alexbadmin Jul-24-10 6
   RE: Cyclic Touching Circles Around Triangle Bui Quang Tuan Jul-24-10 7
      RE: Cyclic Touching Circles Around Triangle alexbadmin Jul-24-10 8
      RE: Cyclic Touching Circles Around Triangle Bui Quang Tuan Jul-24-10 9
          RE: Cyclic Touching Circles Around Triangle alexbadmin Jul-24-10 10
              RE: Cyclic Touching Circles Around Triangle Bui Quang Tuan Jul-24-10 11
                  RE: Cyclic Touching Circles Around Triangle Bui Quang Tuan Jul-26-10 12
                      RE: Cyclic Touching Circles Around Triangle alexbadmin Jul-26-10 13
                          RE: Cyclic Touching Circles Around Triangle Bui Quang Tuan Jul-26-10 14
                              RE: Cyclic Touching Circles Around Triangle alexbadmin Jul-26-10 15
                              RE: Cyclic Touching Circles Around Triangle Bui Quang Tuan Jul-26-10 16
                                  RE: Cyclic Touching Circles Around Triangle alexbadmin Jul-26-10 17
                                      RE: Cyclic Touching Circles Around Triangle alexbadmin Jul-27-10 18
   RE%3A Cyclic Touching Circles Around Triangle mpdlc Jul-29-10 19
      RE: RE%3A Cyclic Touching Circles Around Triangle Bui Quang Tuan Jul-30-10 20
          RE: RE%3A Cyclic Touching Circles Around Triangle mpdlc Jul-30-10 21


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