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 f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a(3a - b - c)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3052) lies on these lines:
3,595 31,42 32,220 40,1104 44,200 45,612 56,1149 57,1279 101,1384 109,1407 154,2352 171,1001 221,1464 222,2078 238,1376 518,1707 614,1155 692,1397 1260,2220 1333,2256 1460,1486 1836,3011 2176,2223 2192,2342X(3052) = X(56)-Ceva conjugate of X(6)
X(3052) = crosspoint of X(I) and X(J) for these I,J: 109,1252 1420,1743
X(3052) = crosssum of X(522) and X(1086)