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(30)
Barycentrics a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)
X(2159) lies on these lines:
48,163 63,662 71,74 228,692 610,1820 1304,2249 1409,1415 1461,2003 1725,2173 2157,2312X(2159) = cevapoint of X(I) and X(J) for these I,J: 48,2315 2151,2152
X(2159) = X(2624)-cross conjugate of X(163)