## X(2605) (DIFFERENCE OF PU(70))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.

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This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears            f(A,B,C) : f(B,C,A) : f(C,A,B), where f(A,B,C) = sin(C- A) - sin(B - A)
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(2605) lies on these lines:
1,523    11,2616    110,1101    512,1326    513,663    667,834    1919,2483    2245,2609    2612,2614

X(2605) = midpoint of X(663) and X(1459)
X(2605) = X(1)-Ceva conjugate of X(2611)
X(2605) = crosspoint of X(1) and X(110)
X(2605) = crosssum of X(1) and X(523)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.