## X(1213) (ISOGONAL CONJUGATE OF X(1171))

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

X(1213) lies on these lines:
2,6    5,573    9,46    10,37    19,429    21,1030    115,121    140,572    190,1268    281,860    440,910    451,1172    1100,1125    1230,1269

X(1213) = isogonal conjugate of X(1171)
X(1213) = complement of X(86)
X(1213) = crosspoint of X(2) and X(10)
X(1213) = crosssum of X(6) and X(58)
X(1213) = crossdifference of any two points on line X(512)X(1326)

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