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.
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) = 1/(sin A + 3 cos A)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)Let BBaCaC be the external square on side BC, and define CCbAbA and AAcBcB cyclically. The lines AbBa, BcCb, CaAc form a triangle perspective to triangle ABC, and the perspector is X(1327).
X(1327) lies on thes lines: 6,1328 30,485 371,1131 381,486 547,1152