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) = (tan A/2)(cos B + cos C - cos A - 1)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(223) lies on these lines:
1,4 2,77 3,1035 6,57 9,1073 40,221 56,937 63,651 108,204 109,165 312,664 329,347 380,608 580,603 936,1038X(223) = isogonal conjugate of X(282)
X(223) = complement of X(189)
X(223) = X(I)-Ceva conjugate of X(J) for these (I,J): (2,57), (77,1), (342,208), (347,40)
X(223) = cevapoint of X(198) and X(221)
X(223) = X(I)-cross conjugate of X(J) for these (I,J): (198,40), (227,347)
X(223) = crosspoint of X(2) and X(329)
X(223) = crosssum of X(6) and X(1436)
X(223) = X(I)-aleph conjugate of X(J) for these (I,J):
(63,1079), (77,223), (81,580), (174,46), (651,109)X(223) = X(I)-beth conjugate of X(J) for these (I,J):
(2,278), (100,200), (162,204), (329,329), (651,223), (662,63)