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)b2c2 : (c + a)c2a2 : (a + b)a2b2
= a(b + c)csc(A - ω) : b(c + a)csc(B - ω) : c(a + b)csc(C - ω)Barycentrics bc(b + c) : ca(c + a) : ab(a + b)
X(321) lies on these lines:
1,964 2,37 4,8 10,756 38,726 76,561 81,314 83,213 98,100 190,333 226,306 310,335 313,594 319,1029 668,671 693,824X(321) = reflection of X(42) in X(1215)
X(321) = isogonal conjugate of X(1333)
X(321) = isotomic conjugate of X(81)
X(321) = X(I)-Ceva conjugate of X(J) for (I,J) = (75,10), (76,313), (312,306)
X(321) = cevapoint of X(37) and X(72)
X(321) = X(442)-cross conjugate of X(264)
X(321) = crosspoint of X(I) and X(J) for these (I,J): (75,76), (313,349)
X(321) = crosssum of X(31) and X(32)
X(321) = crossdifference of any two points on line X(667)X(838)