## X(1364) (BRISSE TRANSFORM OF X(108))

 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.

 The JRE (Java Runtime Environment) is not enabled in your browser!

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) is as above X(1354), using X = X(108)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1364) lies on the incircle and these lines:
1,1361    11,124    12,117    55,103    56,102    65,1359    77,296    151,388    185,603    354,1360    942,1354

X(1364) = reflection of X(1361) in X(1)
X(1364) = anticomplement of X(3042)
X(1364) = X(I)-Ceva conjugate of X(J) for these (I,J): (7,905), (189,650), (222,652), (255,520)
X(1364) = crosspoint of X(I) and X(J) for these (I,J): (3,521), (7,905)
X(1364) = crosssum of X(4) and X(108)

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