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[a2 + (b + c)2]/(b + c - a)
= 1 + cos B cos C : 1 + cos C cos A : 1 + cos A cos B
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = [a2 + (b + c)2]/(b + c - a)
X(388) lies on these lines:
1,4 2,12 3,495 5,999 7,8 10,57 11,153 20,55 29,1037 35,376 36,498 79,1000 108,406 171,603 201,984 329,960 354,938 355,942 381,496 442,956 452,1001 612,1038 750,1106 1059,1067X(388) is the {X(7),X(8)}-harmonic conjugate of X(65).
X(388) = isogonal conjugate of X(1036)
X(388) = anticomplement of X(958)