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) = bc(b4 + c4 - a4 - 2b2c2 - 2abc(a + b + c))
= g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = cos A +(cos A + cos B + cos C) cos B cos C
Barycentrics h(a,b,c) : h(b,c,a) : h(c,a,b), where h(a,b,c) = b4 + c4 - a4 - 2b2c2 - 2abc(a + b + c)
X(377) lies on these lines:
1,224 2,3 7,8 10,46 78,226 81,387 142,950 145,1056 149,1058 225,1038 274,315 908,936 1060,1068X(377) is the {X(3),X(20)}-harmonic conjugate of X(21).
X(377) = anticomplement of X(405)