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(1297)
Barycentrics a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)
X(2312) lies on these lines:
19,31 38,48 44,513 63,610 198,199 240,293 444,1400 774,1973 1436,1473 1910,1933 2157,2159 2199,2285 2201,2310X(2312) = X(293)-Ceva conjugate of X(31)
X(2312) = crosspoint of X(19) and X(1910)
X(2312) = crosssum of X(I) and X(J) for these I,J: 1,2312 63,1959