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 - a2(b + c) - a(b - c)2 + (b + c)(b2 + c2)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(997) lies on these lines:
1,2 3,960 9,48 21,90 34,860 36,63 46,404 55,392 56,72 57,758 65,474 141,1060 210,956 518,999X(997) = midpoint of X(1) and X(200)
X(997) = isogonal conjugate of X(998)