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) = (sin A)(tan2B + tan2C - tan2A)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)X(1498) is the perspector of the tangential triangle and the reflection of triangle ABC in X(3); also, X(1498) is X(8)-of tangential triangle. (Darij Grinberg, 6/2/03)
X(1498) lies on these lines:
1,84 3,64 4,6 20,394 24,1192 25,185 30,155 40,219 159,1350 195,382 1158,1214X(1498) = reflection of X(I) in X(J) for these (I,J): (64,3), (1350,159)
X(1498) = X(I)-Ceva conjugate of X(J) for these (I,J): (20,3), (394,6)
X(1498) = crosssum of X(122) and X(523)