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 a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b), where f(a,b,c) is as in X(189)
Barycentrics a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)
X(2187) lies on these lines:
25,41 31,184 40,1817 48,55 84,947 101,200 212,692 228,1253 601,1437 968,2268 1208,1622 1458,1473 1495,2177X(2187) = isogonal conjugate of X(309)
X(2187) = X(I)-Ceva conjugate of X(J) for these I,J: 48,41 55,31 221,2199 947,6 2360,198
X(2187) = crosspoint of X(I) and X(J) for these I,J: 6,963 40,2331 198,221
X(2187) = 2,962 7,1440 189,280