## X(662) (TRILINEAR POLE OF LINE X(1)X(63))

 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            1/(cot B - cot C) : 1/(cot C - cot A) : 1/(cot A - cot B)
= 1/(b2 - c2) : 1/(c2 - a2) : 1/(a2 - b2)
Barycentrics    (sin A)/(cot B - cot C) : (sin B)/(cot C - cot A) : (sin C)/(cot A - cot B)

X(662) lies on these lines:
1,897    3,1098    6,757    27,913    48,75    60,404    81,88    86,142    99,101    100,110    109,931    214,759    243,425    261,572    326,610    333,909    648,653    656,1101    660,765    689,787    775,820    811,823    827,831

X(662) = isogonal conjugate of X(661)
X(662) = cevapoint of X(100) and X(101)
X(662) = X(I)-cross conjugate of X(J) for these (I,J): (100,99), (101,110), (163,162)
X(662) = crosssum of X(798) and X(810)

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