>Dear Alex,
>
>Thank you for putting my name in the theorem! This
>interesting fact based on very well-known geometrical
>essence and I only have found another configuration from
>another view point for it.

You certainly brought it up. I made a reference to a better known fact to which your statement is equivalent. But you observation sheds extra light on the configuration.

>I do not sure that it is new one.
>If any one known another reference before, please give us so
>we can have full history!

Should I run into anything related I shal upgrade the page. Certainly.

>
>Dear Alex, please correct in your explaining text:
>"Next inscribe circle C1 into <A1A2A3 so that it is to A1A2
>at T12"
>I think it must be:
>"Next inscribe circle C2 into <A1A2A3 so that it is tangent
>to A1A2 at T12"

Yes, thank you.

>Please put also all names: A1, A2, A3, C1, C2, C3, C4, C5,
>C6, T12, T23,... in the applet so we can use in the future!
>

OK