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) = a3(a4 + b4 - c4 - 4a2b2 + 3b2c2)(a4 - b4 + c4 - 4a2c2 + 3b2c2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3048) lies on the sine-triple-angle circle and these lines:
110,126 111,184 1147,1296 2780,3043 2805,3045 2813,3046 2854,3047