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) = a(cos B + cos C - cos A - 1)
Barycentrics af(A,B,C) : bf(B,C,A) : cf(C,A,B)
X(198) lies on these lines:
3,9 6,41 19,25 45,1030 64,71 100,346 101,102 154,212 208,227 218,579 284,859 478,577 958,966X(198) = isogonal conjugate of X(189)
X(198) = X(I)-Ceva conjugate of X(J) for these (I,J): (3,55), (9,6), (223,221)
X(198) = crosspoint of X(40) and X(223)
X(198) = crosssum of X(I) and X(J) for these (I,J): (57,1422), (84,282), (513,1146), (650,1364), (1433,1436)
X(198) = crossdifference of any two points on line X(522)X(905)
X(198) = X(I)-beth conjugate of X(J) for these (I,J): (9,19), (101,198)