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) = (b + c)(b2 + c2 - a2) + 4abc
Barycentrics af(a,b,c): bf(b,c,a): cf(c,a,b)
X(392) lies on these lines:
1,6 2,517 8,1000 10,11 21,104 40,474 55,997 63,999 78,1057 210,519 329,1056 354,551 442,946 443,962 452,944 495,908X(392) = reflection of X(354) in X(551)