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 (b + c)a2 : (c + a)b2 : (a + b)c2
Barycentrics (b + c)a3 : (c + a)b3 : (a + b)c3
X(213) lies on these lines: 1,6 8,981 31,32 39,672 58,101 63,980 83,239 100,729 184,205 274,894 607,1096 667,875 692,923
X(213) = isogonal conjugate of X(274)
X(213) = X(I)-Ceva conjugate of X(J) for these (I,J): (6,42), (37,228)
X(213) = crosspoint of X(6) and X(31)
X(213) = crosssum of X(I) and X(J) for these (I,J): (2,75), (81,1444), (85,348)
X(213) = crossdifference of any two points on line X(320)X(350)
X(213) = X(I)-beth conjugate of X(J) for these (I,J): (41,213), (101,65), (644,213)