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) = X(1113)
Barycentrics a2/f(a,b,c) : b2/f(b,c,a) : c2/f(c,a,b)
X(2578) lies on these lines:
19,2588 44,513 48,2584 63,2582 71,2574 163,1822 1114,2249 1821,2581 2159,2577X(2578) = isogonal conjugate of X(2580)
X(2578) = X(I)-Ceva conjugate of X(J) for these: I,J: 163,2579 662,2585 1822,31 2576,48 2580,1 2582,2584
X(2578) = crosspoint of X(I) and X(J) for these I,J: 1,2580 19,2576 2582,2588
X(2578) = crosssum of X(I) and X(J) for these I,J: 1,2578 19,2588 63,2582 1822,2576
X(2578) = X(2580)-aleph conjugate of X(2578)