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 (1/a)f(a,b,c) : (1/b)f(b,c,a) : (1/c)/f(c,a,b), where f(a,b,c) is as at X(1113)
Barycentrics f(a,b,c) : f(b,c,a) : f(c,a,b)
X(2580) lies on these lines:
19,27 100,1113 162,1822 662,2576 1821,2579 2349,2583X(2580) = isogonal conjugate of X(2578)
X(2580) = isotomic conjugate of X(2582)
X(2580) = cevapoint of X(I) and X(J) for these I,J: 1,2578 19,2588 63,2582 1822,2576
X(2580) = X(I)-cross conjugate of X(J) for these I,J: 1577,2581 2576,2586 2578,1 2582,92 2588,75
X(2580) = X(I)-aleph conjugate of X(J) for these I,J: 1113,1740 2580,1