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(a3 + b3 - c3 - a2b - ab2 + bc2)(a3 - b3 + c3 - a2c - ac2 + b2c)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3046) lies on the sine-triple-angle circle and these lines:
49,2808 54,118 101,184 103,1147 215,3022 2772,3043 2774,3047 2786,3044 2813,3048