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) = a4 - b2c2
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1580) lies on these lines:
1,21 6,256 41,43 75,560 87,604 171,172 238,1284 239,1281 284,1045 661,830 662,922
X(1580) = isogonal conjugate of X(1581)
X(1580) = isotomic conjugate of X(1934)
X(1580) = X(I)-Ceva conjugate of X(J) for these (I,J): (1755,1955), (1910,1), (1967,1582)
X(1580) = X(2236)-cross conjugate of X(1966)
X(1580) = crosssum of X(I) and X(J) for these (I,J): (1755,1964), (1965,1966)
X(1580) = crossdifference of any two points on line X(38)X(661)
X(1580) = X(98)-aleph conjugate of X(1755)