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) = (b + c - a)[a2 + (b - c)2]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2082) lies on these lines:
1,41 6,19 8,9 32,1951 40,672 55,1212 57,279 63,194 85,673 198,1108 213,1572 218,517 284,1800 354,1190 573,1723 579,1195 604,610 614,1184 1039,1172 1055,1420 1146,1837 1743,1766X(2082) = X(664)-Ceva conjugate of X(663)
X(2082) = crosspoint of X(I) and X(J) for these (I,J): (4,277), (9,57), (333,1172)
X(2082) = crosssum of X(I) and X(J) for these (I,J): (3,218), (9,57), (664,663)