## X(1635) (TRIPOLAR CENTROID OF X(1))

 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) = (b - c)(b + c - 2a)       (M. Iliev, 5/13/07)

X(1635) lies on these lines: 2,812    44,513    88,1022    100,101    105,1024    244,665

X(1635) = reflection of X(1962) in X(351)
X(1635) = X(I)-Ceva conjugate of X(J) for these (I,J): (44,2087), (88,244), (104,2310), (662,214), (1022,513), (1023,44), (2161,2170)
X(1635) = X(2087)-cross conjugate of X(44)
X(1635) = crosspoint of X(I) and X(J) for these (I,J): (44,1023), (57,2222), (88,100), (101,909), (190,1120), (513,1022), (662,759)
X(1636) = crosssum of X(I) and X(J) for these (I,J): (1,1635), (44,513), (88,1022), (100,1023), (514,908), (649,1149), (661,758)

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