## X(1368) (COMPLEMENTARY CONJUGATE OF X(6))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.

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) = bc[b2/(a2 - b2 + c2) + c2/(a2 + b2 - c2)]
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = b2/(a2 - b2 + c2) + c2/(a2 + b2 - c2)

X(1368) lies on these lines: 2,3    11,1040    12,1038    98,801    114,122    120,123    125,343    126,127    230,577    495,612    496,614

X(1368) = midpoint of X(25) and X(1370)
X(1368) = reflection of X(1596) in X(5)
X(1368) = complement of X(25)
X(1368) = complementary conjugate of X(6)
X(1368) = X(I)-Ceva conjugate of X(J) for these (I,J): (2,1196), (670,525), (222,652), (255,520)
X(1368) = crosspoint of X(2) and X(305)

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