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(79)
Barycentrics a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)
X(2174) lies on these lines:
1,584 6,41 9,2278 36,583 37,101 44,572 45,2268 50,1399 53,2202 55,2164 65,2160 71,1030 199,209 213,1333 220,2289 228,2194 560,869 594,2329 662,894 872,922 910,1630 1409,1415 1964,2210 2171,2173 2176,2304 2220,2251 2264,2302X(2174) = X(I)-Ceva conjugate of X(J) for these I,J: 80,2361 1126,31 2003,1399 2259,6
X(2174) = crosspoint of X(35) and X(2003)