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 ω cos(B - C) - cos 2ω sin(A + ω)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(2023) lies on these lines:
2,6943,6 5,39 6,98 30,2021 194,1007 230,511 325,732 625,736 1503,2024 1575,1738X(2023) = midpoint of X(39) and X(115)
X(2023) = crosssum of X(1662) and X(1663)