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 - 2a2b2 + b2c2)(a4 - b4 + c4 - 2a2c2 + b2c2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3047) lies on the sine-triple-angle circle and these lines:
2,98 49,3043 54,113 74,1147 156,265 193,1177 206,895 215,3024 690,3044 1112,1994 2477,3028 2774,3046 2854,3048X(3047) = reflection of X(3043) in X(49)