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) = 1/[- (cos A)/x + (cos B)/y + (cos C)/z], x : y : z = X(287)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1821) lies on these lines:
19,823 31,92 48,75 63,561 71,190 98,100 287,651 653,1400 1580,1733 1760,1820
X(1821) = isogonal conjugate of X(1755)
X(1821) = isotomic conjugate of X(1959)
X(1821) = cevapoint of X(I) and X(J) for these (I,J): (1,1755), (9,740), (75,1966), (293,1910)
X(1821) = crosspoint of X(1581) and X(1956)
X(1821) = crosssum of X(1580) and X(1955)
X(1821) = X(I)-aleph conjugate of X(J) for these (I,J): (98,1740), (290,73), (1821,1)