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A new point for Mr Kimberling maybe?
Answered
Could this be a new point of a triangle?
Can you help to prove this or not?
its the ortho centre of the triangle created from the radical lines through the excircles and the circumference of the original triangle...
Can you help, thanks
Files:
new point maybe.ggb
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I have tested from X(1) to X(3053) except 2771:2854 because GG says undefined.GG says undefined another points near 803.
your point is not in 1:3053
I do not know how to test the rest of points
see this page. I suppose you can find your point or happily not
http://faculty.evansville.e...
X(9958) = ORTHOLOGIC CENTER OF THESE TRIANGLES: AYME TO INCENTRAL
X(9958) = X(4)ofAymetriangle
X(9958) = Aymeisogonal conjugate of X(11259)
Sorry, I didn't have time to explain. Now I do have.
First I constructed your point (X4 of Ayme triangle). See attached ggbfile.
Use checkbox "Set to Reference Triangle" to set points A, B and C to the
"ETC search reference triangle". Coordinates for "ETC search tables" are calculated.
Use a_coordinate to search in Search_6_9_13.html
Use b_coordinate to search in Search_9_13_6.html
Use c_coordinate to search in Search_13_6_9.html
Your point is X(9958) = X(4)ofAymetriangle. See ETCPart5.html.
With kind regards, Thijs
I am afraid is not a "center" because circumcircle is undefined for initial obtuse triangle
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