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(b + c - a)[2a3 + (b + c)(a2 + (b - c)2)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(950) lies on these lines:
1,4 8,9 10,55 11,214 20,57 29,284 30,553 35,1006 65,516 72,519 80,943 142,377 145,329 281,380 389,517 440,1104 947,1067X(950) = isogonal conjugate of X(951)
X(950) = crosspoint of X(I) and X(J) for these (I,J): (7,333), (8,29)
X(950) = crosssum of X(I) and X(J) for these (I,J): (55,1400), (56,73)