## X(206) (X(2)-CEVA CONJUGATE OF X(32))

 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           a3(b4 + c4 - a4) : b3(c4 + a4 - b4) : c3(a4 + b4 - c4)
Barycentrics    a4(b4 + c4 - a4) : b4(c4 + a4 - b4) : c4(a4 + b4 - c4)

This is also X(66) of the medial triangle.

X(206) lies on these lines:
2,66    5,182    6,25    26,511    69,110    157,216    160,577    219,692    237,571

X(206) = midpoint of X(I) and X(J) for these (I,J): (6,159), (110,1177)
X(206) = complement of X(66)
X(206) = complementary conjugate of X(427)
X(206) = X(2)-Ceva conjugate of X(32)
X(206) = crosspoint of X(2) and X(315)
X(206) = crosssum of X(339) and X(523)

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