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(1817)
Barycentrics a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)
X(2357) lies on these lines:
8,20 19,1857 25,2155 31,607 42,1409 48,55 71,210 228,1334 1002,1422 1400,1824 1413,2334X(2357) = X(84)-Ceva conjugate of X(1903)
X(2357) = X(I)-cross conjugate of X(J) for these I,J: 1402,42 2333,1400
X(2357) = crosspoint of X(I) and X(J) for these I,J: 19,64 84,1436
X(2357) = crosssum of X(I) and X(J) for these I,J: 20,63 40,329