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 2b + 2c - a : 2c + 2a - b : 2a + 2b - c
Barycentrics a(2b + 2c - a) : b(2c + 2a - b) : c(2a + 2b - c)
X(45) lies on these lines: 1,6 2,88 53,281 55,678 141,344 198,1030 210,968 346,594
X(45) is the {X(1),X(9)}-harmonic conjugate of X(44).
X(45) = isogonal conjugate of X(89)
X(45) = crosssum of X(6) and X(999)
X(45) = X(I)-beth conjugate of X(J) for these (I,J): (9,1), (644,45)