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) = (1 - 4 cos2A)2 sec A
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3043) lies on the sine-triple-angle circle and these lines:
4,110 49,3047 54,125 74,184 186,323 215,3028 378,399 542,3044 1614,2777 1993,2931 2477,3024 2771,3045 2772,3046 2780,3048X(3043) = reflection of X(3047) in X(49)